Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment | Paper Citation Record

Observation 24e71750-991f-4f1a-aaab-c0fd89be18a0 · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c40f15c1-2e3d-48b9-972e-a39c7ff934bf · outbound

This paper cites All operators denoted by ˆOand ˆQtreated in this study, with the exception of the position operator ˆr, are cell- periodic local operators.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment All operators denoted by ˆOand ˆQtreated in this study, with the exception of the position operator ˆr, are cell- periodic local operators

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 590f4be3-dcde-4b6a-9c1c-7d7f32d7a8fc · outbound

This paper cites V to obtain the expectation value, which may depend on the gauge choice.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment V to obtain the expectation value, which may depend on the gauge choice

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07e28519-376c-4625-8e1f-6b26aac08312 · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 619fb02f-ef44-41d7-853a-9863320f1084 · outbound

This paper cites This counterterm—constructed from the Berry connec- tion and its derivatives—is defined to ensure it does not alter any gauge-invariant physical contri- butions.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment This counterterm—constructed from the Berry connec- tion and its derivatives—is defined to ensure it does not alter any gauge-invariant physical contri- butions

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbfba0a9-8fb4-4d1b-ab76-03256ba9ab7e · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a7d1862-a0f9-4bfd-bd22-af1bebf8741e · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7cc8c954-654f-4155-9860-53df533aa1ff · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2816c3c7-dca5-4056-b3ee-2a5ad0c64a74 · outbound

This paper cites Karplus and J.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Karplus and J

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e0ea3d6-f0e1-4afc-8a4d-2cd9e0530dd8 · outbound

This paper cites Zak, Phys.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Zak, Phys

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2d04779-f449-4ec8-bd46-b83347d1d3f6 · outbound

This paper cites Zak, Phys.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Zak, Phys

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b03b810e-54cc-4842-8efd-facb1343161b · outbound

This paper cites Hasegawa and T.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Hasegawa and T

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c6e0ef2e-9b71-449f-b263-8fb3320b303a · outbound

This paper cites Kohn, Phys.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Kohn, Phys

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f601c733-ce36-427d-a741-4730487a19ba · outbound

This paper cites Adams and E.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Adams and E

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb6003e4-71ac-4b71-bf6f-89ed4665d3f1 · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d39d40e6-23a0-4dcb-b426-8fcca4e16beb · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c49d98d6-42fa-4201-a75e-c2914cc1878e · outbound

This paper cites Morimoto, S.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Morimoto, S

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55a76bda-c7f5-4a1b-8651-e425aec2bcee · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e3214bc-aad4-4f64-acc5-5b0c475fc037 · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17c497e1-76cd-47fc-af82-ba24e3b83361 · outbound

This paper cites Anandan and Y.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Anandan and Y

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50a43cce-e8aa-4981-a521-c433e231b04b · outbound

This paper cites Mera and J.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Mera and J

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85aa7feb-38a7-4f76-a7b7-607a4dde49d7 · outbound

This paper cites Avdoshkin and F.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Avdoshkin and F

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf25309d-44f3-4fba-a0d1-20cd3a070278 · outbound

This paper cites Pi´ echon, A.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Pi´ echon, A

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e6b3b83-4271-4f99-bcfc-c949fd7ca4a1 · outbound

This paper cites Ozawa and B.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Ozawa and B

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbb7a6a1-941e-4179-adfd-f7705c3db35e · outbound

This paper cites Quantum geometry in the dynamics of band-projected operators.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Quantum geometry in the dynamics of band-projected operators

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-07-03T11:58:07.122750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b87dcf44-9396-4cf5-8985-e3c7595d03ab · outbound

This paper cites Vanderbilt and R.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Vanderbilt and R

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e311308-8526-4068-8a68-265c23fa237f · outbound

This paper cites Thonhauser, Int.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Thonhauser, Int

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97423667-b413-45ea-9898-9a5780646f85 · outbound

This paper cites Souza, J.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Souza, J

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a386b2ae-30b8-4906-9448-a8885eda5ad5 · outbound

This paper cites Resta, D.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Resta, D

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b83f54e-f0d0-4564-ac2b-cde2e3d8322e · outbound

This paper cites Thonhauser, D.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Thonhauser, D

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b8958bf-5015-4084-b8f5-6d95dd131f6b · outbound

This paper cites Ceresoli, T.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Ceresoli, T

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3999ca51-55f2-4dd4-955c-baa8f00a46ed · outbound

This paper cites Ceresoli, U.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Ceresoli, U

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03e2f31b-4dae-40ab-b568-7d2f97bb598b · outbound

This paper cites Aryasetiawan and K.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Aryasetiawan and K

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69eb3d54-f206-41ce-bbb3-237b4e9f7f76 · outbound

This paper cites Bhowal and G.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Bhowal and G

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd8919e4-6a31-49e7-b686-19aef55d9cd7 · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d30b55af-e218-4f5a-a59f-20bc927c66de · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e9d06f4-8eba-4ee2-9fd1-2728ac27230d · outbound

This paper cites An and S.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment An and S

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c3b5560-5a1f-4015-8cb1-31da2a39d787 · outbound

This paper cites Sundaram and Q.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Sundaram and Q

Reference 38

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb31f77f-9f61-4fa9-bca5-8e27022e9e8a · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1a6f0c7-5f34-4b19-b8f1-df6efc91b90b · outbound

This paper cites Blount, inFormalisms of Band Theory, Solid State Physics, Vol.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Blount, inFormalisms of Band Theory, Solid State Physics, Vol

Reference 40

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f45107d6-b6e6-4387-bdc5-609a910dd9e4 · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0c3465b-87ec-4458-8776-f52acbe207aa · outbound

This paper cites Vanderbilt,Berry Phases in Electronic Structure Theory: Electric Polarization, Orbital Magnetization and Topological Insulators(Cambridge University Press, 2018).

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Vanderbilt,Berry Phases in Electronic Structure Theory: Electric Polarization, Orbital Magnetization and Topological Insulators(Cambridge University Press, 2018)

Reference 42

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6784f2fd-4562-49de-b72b-4a4fe146b8b4 · outbound

This paper cites Resta, Phys.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Resta, Phys

Reference 43

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dcb23e3f-272d-43d6-a071-5407c9a5b807 · outbound

This paper cites Fuchs, Proc.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Fuchs, Proc

Reference 44

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 120c5f2b-17ef-410a-8936-701b582ad876 · outbound

This paper cites Bross and H.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Bross and H

Reference 45

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3c5c1d0-02fa-46b1-a221-758e1bba5820 · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 46

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cab82b1e-a21f-48a0-89e5-2ecc5e8a7ea8 · outbound

This paper cites Xiao, M.-C.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Xiao, M.-C

Reference 47

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50fcb744-d7bb-4af2-b50a-86d1aa8f20bb · outbound

This paper cites Moessner and J.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Moessner and J

Reference 48

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc1f26e4-c98a-475b-be81-e1314cbf68b0 · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 49

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dac0f108-49b7-4e1e-aaf9-94f952385db8 · outbound

This paper cites Shankar, Topology and Condensed Matter Physics , 253 (2017).

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Shankar, Topology and Condensed Matter Physics , 253 (2017)

Reference 50

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03320c2e-f17b-4125-b370-a63981b68f6d · outbound

This paper cites Cayssol and J.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Cayssol and J

Reference 51

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb6ba79e-16c4-4323-8ff3-f83cb3bac4a5 · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 52

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 878b68e6-53f5-4897-8db5-0cab4ec3db18 · outbound

This paper cites Juri´ c, Universe8, 129 (2022).

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Juri´ c, Universe8, 129 (2022)

Reference 53

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0dbdb5df-082c-42e6-8d69-da85f49af42d · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 54

Resolution: verified exact; arxiv_id, observed 2026-07-03T11:58:07.125282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1c97b08d-4e37-46e7-beed-1e4e44115df2 · outbound

This paper cites Kontani, T.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Kontani, T

Reference 55

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ff1a587-1665-42d5-98c7-0f7a516c9fb1 · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 56

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b6ab29e-ebec-4425-8562-9ea1e82ffeac · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 57

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b03f0c4-4a4b-4f09-acd0-e26d337c420a · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 58

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c78d5377-ca4a-4ddb-a1dc-ec61378286b9 · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 59

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79a94eb5-7cfb-4996-846e-bdf1755def63 · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 60

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97f8370d-8e31-44bc-bd5d-eda3e269c9a1 · outbound

This paper cites The sign difference be- tween thek-derivatives acting on [O(k)] and [Q(k)] in Eq.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment The sign difference be- tween thek-derivatives acting on [O(k)] and [Q(k)] in Eq

Reference 61

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad96c2af-5b8e-40d4-a765-cd2790a71489 · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 62

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8dcf1805-d371-4bf7-bfaa-bf8e3714b1f2 · outbound

This paper cites Chang and Q.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Chang and Q

Reference 63

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 691a186c-a61c-4624-a0b4-d0b682d12ec5 · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 64

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae43d3eb-a2ee-4fd1-ae5b-8cf2ffccb38f · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 65

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6794f772-6ce7-4473-b425-5c25009eb793 · outbound

This paper cites Iba˜ nez-Azpiroz, F.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Iba˜ nez-Azpiroz, F

Reference 66

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9d1be92-785b-45f6-8c06-7272246eb267 · outbound

This paper cites Go, H.-W.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Go, H.-W

Reference 67

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd5b74b0-0cbb-4ae3-9b45-258eaa230956 · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 68

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1050457-8e5f-4da2-adb6-79d08f73b4fd · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 69

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 437b4731-2119-4f59-9882-46f0d90399bc · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 70

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4ec286d-b4cf-413c-91f0-b5fde9ac0e9e · outbound

This paper cites Shindou, R.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Shindou, R

Reference 71

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9fa024af-e2db-450f-bc1b-59a03620784d · outbound

This paper cites Rych ly, P.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Rych ly, P

Reference 72

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3d0b906-2ccb-4ee6-848f-7839b1a1e165 · outbound

This paper cites Mieszczak and J.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Mieszczak and J

Reference 73

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1768e73-7385-4f24-aa4a-2c5889fef3c9 · outbound

This paper cites Friedberg, T.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Friedberg, T

Reference 74

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1feac9e-5bb2-4507-b601-b934aaa53d22 · outbound

This paper cites Friedberg, T.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Friedberg, T

Reference 75

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e3e83d5b-232e-4def-8adb-601326079db7 · outbound

This paper cites The evaluation is conducted in the Bloch representation, utilizing the Bloch state expressed asψ nk(r) =⟨r|ψ nk⟩= eik·runk(r) =⟨r|e ik·ˆr|unk⟩, wherenis the band index.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment The evaluation is conducted in the Bloch representation, utilizing the Bloch state expressed asψ nk(r) =⟨r|ψ nk⟩= eik·runk(r) =⟨r|e ik·ˆr|unk⟩, wherenis the band index

Reference 76

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 103fb792-41f8-40b9-89a0-6e65a768ab80 · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 77

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be2bcc81-2b7e-437a-89fa-fb11420851d2 · outbound

This paper cites [58]: ⟨W|(ˆr−r W)× ˆv|W⟩= Z dk VB.Z.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment [58]: ⟨W|(ˆr−r W)× ˆv|W⟩= Z dk VB.Z

Reference 78

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d22be9b6-ddc1-4bef-b467-71f6cb579a14 · outbound

This paper cites We demonstrate that the ∆ N-regularized Wannier states resolve these issues, analogous to the use of ∆ N-regularized Bloch states.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment We demonstrate that the ∆ N-regularized Wannier states resolve these issues, analogous to the use of ∆ N-regularized Bloch states

Reference 79

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6a647ac-382e-453c-99f3-2155b0205a67 · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 80

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 253243b4-2800-49a7-80ea-dcde49a42dc3 · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 81

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbd5962c-0484-4be7-8f5c-919fce2df22b · outbound

This paper cites an unresolved cited work.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Unresolved cited work

Reference 82

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac45194c-3291-4243-ba9c-c1c28a692e30 · outbound

This paper cites Here, we focus on demonstrating that lim N→∞ N −1P ˜R⟨WN n′(R′+ ˜R)|ˆr× ˆr|WN n(R+ ˜R)⟩= 0 by leveraging the ∆ N- regularization alongside the established relations.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment Here, we focus on demonstrating that lim N→∞ N −1P ˜R⟨WN n′(R′+ ˜R)|ˆr× ˆr|WN n(R+ ˜R)⟩= 0 by leveraging the ∆ N- regularization alongside the established relations

Reference 83

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad7045c8-7001-48de-9708-0f77789a15f0 · outbound

This paper cites We can interpret the gauge-independent self-rotation in Eq.

Consistent Evaluation of Operators Involving the Position Operator in the Bloch Representation: Application to the Orbital Moment We can interpret the gauge-independent self-rotation in Eq

Reference 84

Resolution: unresolved; no resolver link, observed 2026-06-27T09:10:36.192199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Coverage vector

Reference resolution

Outbound references

Pith citing papers