Paper Citation Record · LEDGER

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking

As of 21 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 3 inbound Pith citation observations for arXiv:2509.09253.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2509.09253 v4

Coverage vector

measured 63 of 63 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T19:29:10.418718Z

measured 66 of 66 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T03:27:33.706089Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-06-30T13:54:44.728795Z

Reference resolution

63 of 63 outbound references displayed

verified exact2
verified fuzzy0
unresolved61
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1c74f88b-1b7b-4e37-a8da-087d8230f342 · outbound

This paper cites Within ourab initio framework, MBC lifts the degeneracy along the entire path by breaking bothT(as well asPT) andσ v.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Within ourab initio framework, MBC lifts the degeneracy along the entire path by breaking bothT(as well asPT) andσ v

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:09.151447Z

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Observation 692cc9cb-4abd-4c2c-b6b7-8296395d99be · outbound

This paper cites The magnitude of the phonon energy splitting for theE u modes is presented in Fig.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking The magnitude of the phonon energy splitting for theE u modes is presented in Fig

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:09.198617Z

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Observation 33b7eadc-5d54-400b-aa28-a5aac7605ad2 · outbound

This paper cites Baydin, F.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Baydin, F

Reference 3

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Observation 58269e89-173f-4848-ac1f-0b21fb4326d7 · outbound

This paper cites Cheng, T.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Cheng, T

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:09.305659Z

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Observation 86e9fbda-3f48-43da-b00b-a509644378b5 · outbound

This paper cites an unresolved cited work.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:09.362487Z

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Observation dd4ffc11-8498-4fc1-a89d-cab785d0d18e · outbound

This paper cites Chaudhary, D.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Chaudhary, D

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:09.367581Z

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Observation f9c3ec79-253b-4ac8-86ac-7335430b2be3 · outbound

This paper cites an unresolved cited work.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:09.443334Z

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Observation 70db3a75-d869-4ba2-80c8-5a5ff5dfebc3 · outbound

This paper cites Lujan, J.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Lujan, J

Reference 8

Resolution: verified exact; doi, observed 2026-08-04T19:34:26.040258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation aa5b855f-b878-4032-b8ee-d225ebcc2a6e · outbound

This paper cites an unresolved cited work.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:09.550428Z

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Observation 56922709-e896-4f5c-bc80-ad2e81360965 · outbound

This paper cites Schaack, Magnetic field dependent splitting of doubly degenerate phonon states in anhydrous cerium-trichloride, Zeitschrift f¨ur Physik B Condensed Matter26, 49 (1977).

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Schaack, Magnetic field dependent splitting of doubly degenerate phonon states in anhydrous cerium-trichloride, Zeitschrift f¨ur Physik B Condensed Matter26, 49 (1977)

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:09.634997Z

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Observation 5b8e7058-ab0d-4428-8d0e-3d71ef7fb3e0 · outbound

This paper cites an unresolved cited work.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:09.725848Z

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Observation 4f467261-8458-4186-ae8f-b12d7434348c · outbound

This paper cites an unresolved cited work.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:09.796721Z

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Observation f0f953ee-485c-4b80-b262-e8bc919dedc2 · outbound

This paper cites an unresolved cited work.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:09.866652Z

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Observation 334018b1-4afb-4e71-b9a5-9b78d0ba923e · outbound

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General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:09.940562Z

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Observation 40c7f51c-3916-4d01-8aed-ccdf6a0b4443 · outbound

This paper cites an unresolved cited work.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 15

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Observation 8fa46bfc-68c0-47cf-8a28-2b1b0a2ff5f9 · outbound

This paper cites an unresolved cited work.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 16

Resolution: verified exact; doi, observed 2026-08-04T19:34:25.948831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2dea17e8-3087-4c03-a157-d74ea7e70b2b · outbound

This paper cites Yang, Y .-Y.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Yang, Y .-Y

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.150943Z

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Observation 566295e9-3735-474b-9d48-e427b91c3e94 · outbound

This paper cites an unresolved cited work.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.155579Z

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Observation 2ecbfa83-24e9-49dc-9f23-f857d79bfe3a · outbound

This paper cites Liu and J.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Liu and J

Reference 19

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Observation 6ead67af-2f73-48f7-8268-38d6f62b2a74 · outbound

This paper cites Bistoni, F.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Bistoni, F

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.164535Z

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Observation 2f3af696-3334-4df2-a736-c9d8b6f28b70 · outbound

This paper cites Bonini, S.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Bonini, S

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.168878Z

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Observation fe95f90c-8b97-434d-bc6a-d9bafe51b0ee · outbound

This paper cites an unresolved cited work.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.173629Z

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Observation 916b71cf-15bd-497c-8121-15e00c7e4324 · outbound

This paper cites Magic of nonlocal geometric force: lighting up optical transition and transporting angular momentum by chiral phonons.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Magic of nonlocal geometric force: lighting up optical transition and transporting angular momentum by chiral phonons

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.179588Z

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Observation a2b8e9f6-120e-499a-a6b0-d7856088b7a7 · outbound

This paper cites Strohm, G.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Strohm, G

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.185153Z

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Observation a36726f6-44bb-4cdc-928f-b3af54858313 · outbound

This paper cites Katsura, N.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Katsura, N

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.191351Z

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Observation 84761b68-a1d9-44fb-b2b2-85aa311788b0 · outbound

This paper cites Ideue, T.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Ideue, T

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.198016Z

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Observation 310915de-de22-4369-aacd-12d81c18316d · outbound

This paper cites Zhang, C.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Zhang, C

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.203582Z

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Observation 81c190f8-8b67-48d0-8baf-4ef922018f1a · outbound

This paper cites Saito, K.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Saito, K

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.208549Z

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Observation 27fd5510-e4b3-4405-86b9-036bb7eb2fdc · outbound

This paper cites Saparov, B.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Saparov, B

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.214474Z

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Observation dd68d496-56e3-48ae-aea9-9cc91f59a8c5 · outbound

This paper cites Nagaosa and Y.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Nagaosa and Y

Reference 30

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Observation 0f6c78de-45a0-4fb3-bd5d-6089aae2df9b · outbound

This paper cites an unresolved cited work.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.224196Z

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Observation a91c0b8e-19a5-4719-b5df-52f1dc849b8e · outbound

This paper cites Coh, Classification of materials with phonon angular mo- mentum and microscopic origin of angular momentum, Phys.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Coh, Classification of materials with phonon angular mo- mentum and microscopic origin of angular momentum, Phys

Reference 32

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Observation 9a52d513-a03f-4a85-8bc5-91a93df6335b · outbound

This paper cites Zhang, Z.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Zhang, Z

Reference 33

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Observation 3f708155-df6e-4867-8019-383a3c36a4f9 · outbound

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General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 34

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Observation dfcd6687-6858-4f3d-b9ce-1a65baf1cdf6 · outbound

This paper cites an unresolved cited work.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.248685Z

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Observation da8a035b-ca6c-4c65-9f0d-7f451e65e88a · outbound

This paper cites an unresolved cited work.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.253814Z

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Observation 04e305c2-0588-4f92-ba34-7026d9835a40 · outbound

This paper cites an unresolved cited work.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.259893Z

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Observation 59a744ac-be78-4b03-96de-ea88a62a4fb9 · outbound

This paper cites Morali, R.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Morali, R

Reference 38

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Observation 226712ad-170e-474f-91d6-aaac833e6e23 · outbound

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General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.277730Z

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Observation ae360de3-5983-47a7-897e-480c6b489313 · outbound

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General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.282597Z

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Observation 102a5ebb-d57a-4d9a-a90a-7166ffe3a4f0 · outbound

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General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.288876Z

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Observation 8f9220d8-ef95-4282-b6b0-aaedf1adcfc6 · outbound

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General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.293690Z

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Observation 7198a160-6760-417f-aa07-1e5f69c69fe9 · outbound

This paper cites Okamura, S.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Okamura, S

Reference 43

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Observation 57d597e2-f86e-45c4-9a68-d57fa6938405 · outbound

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General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.305605Z

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Observation 6f8852fc-e973-441c-be14-09d5a4d92f9c · outbound

This paper cites an unresolved cited work.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.311280Z

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Observation 68541280-7f49-45c3-9df5-61e74df50436 · outbound

This paper cites Zhang, Z.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Zhang, Z

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.315985Z

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Observation 56945b02-78d0-48f9-8b63-b3ce89df903d · outbound

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General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.321117Z

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Observation 34f7ba1e-6dd5-4585-9a0c-551545d71762 · outbound

This paper cites Zhang, Y.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Zhang, Y

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.325761Z

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Observation b8e4b4de-7637-4cc8-806b-f14324e408cb · outbound

This paper cites an unresolved cited work.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.330687Z

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Observation e471884b-3dc4-4df0-8979-3194a7a252bb · outbound

This paper cites Zhang and S.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Zhang and S

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.336200Z

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Observation 3aff7053-4596-44a2-809c-fcf4040ca2a3 · outbound

This paper cites Cappelluti, L.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Cappelluti, L

Reference 51

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Observation 10f6edd5-13ff-47ca-bff6-6e0ce41bd562 · outbound

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General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.346358Z

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Observation 09fd5704-3698-41cf-a06a-b8eab745528a · outbound

This paper cites Giannozzi, S.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Giannozzi, S

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.352628Z

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Observation 1f4060fe-e8ee-47f0-a126-4ef270150182 · outbound

This paper cites Giannozzi, O.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Giannozzi, O

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.363256Z

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Observation 72bf644e-aaaf-4386-975b-1179c0fc5b49 · outbound

This paper cites Giannozzi, O.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Giannozzi, O

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.369171Z

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Observation 6447d0d3-08f5-4059-8317-c8c95910ac34 · outbound

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General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-04T19:29:10.376025Z

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Observation 508881be-e46b-47d7-902c-e1cd1526bea1 · outbound

This paper cites van Setten, M.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking van Setten, M

Reference 57

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Observation 78ec4100-dd90-44e8-b74f-0354b9d4a40d · outbound

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General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 58

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Observation 2d1057f0-b786-40b0-a29f-e93efa72e813 · outbound

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General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 59

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Observation 5534fb5d-9602-4bc4-b14f-15e5901e5afa · outbound

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General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 60

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Observation 32d5fabd-d62e-4660-928d-a392026aa312 · outbound

This paper cites Giustino, M.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Giustino, M

Reference 61

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Observation 4523ed3a-592f-4717-a061-f016ca14c73a · outbound

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General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Unresolved cited work

Reference 62

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Observation 8f4bb4b0-46c0-4115-a863-1c371ada9713 · outbound

This paper cites Ponc ´e, E.

General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking Ponc ´e, E

Reference 63

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Pith citing papers

Observation 9dd7d530-4350-42b5-8abb-2f87043c498d · inbound

Ferron Hall effect: Transverse accumulation of polarization driven by thermal gradients in ferroelectrics cites this paper.

Ferron Hall effect: Transverse accumulation of polarization driven by thermal gradients in ferroelectrics General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking

Reference 72

Resolution: verified exact; local_arxiv, observed 2026-06-30T13:54:44.730070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9fd84e46-6776-45ea-a6bd-c52c242be0c5 · inbound

Angular momentum splitter effect of $d$-wave axial phonons in orbital altermagnets cites this paper.

Angular momentum splitter effect of $d$-wave axial phonons in orbital altermagnets General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-02T03:27:33.706089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29825c9a-109e-498b-9d09-fbd7d0bfeb18 · inbound

Raman spectroscopy of van der Waals topological magnet GdGaI cites this paper.

Raman spectroscopy of van der Waals topological magnet GdGaI General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-01T12:10:04.577820Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.