Paper Citation Record · LEDGER

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators

As of 4 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2501.16792.

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

pith.paper-citation-record.v1
2501.16792 v2

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-23T05:06:47.545270Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

27 of 27 outbound references displayed

verified exact1
verified fuzzy15
unresolved10
parse uncertain1
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 149dff04-596c-4d8d-b327-ecbf909e6b88 · outbound

This paper cites For parabolic bands the parametersβ >0 has the dimension of mass-inverse.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators For parabolic bands the parametersβ >0 has the dimension of mass-inverse

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T05:07:35.832675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation b79c9aad-e2bf-4225-aca8-55a1895d5969 · outbound

This paper cites an unresolved cited work.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-05-23T05:07:35.790569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 2e5ceaaa-c8e4-4997-8cb0-e0b0935c0e9e · outbound

This paper cites hybridization.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators hybridization

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T05:07:35.827085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation f4e95e27-d73a-4b15-ade1-6b0f6e511075 · outbound

This paper cites Without off-diagonal terms, the two di- agonal terms cross at|k|=k 0 with energy zero.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators Without off-diagonal terms, the two di- agonal terms cross at|k|=k 0 with energy zero

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T05:07:35.842741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation a112c172-2def-4072-b435-a072a8b1d0ac · outbound

This paper cites The quantization rule isξ= 1 2 ,1 + 1 2 ,2 + 1 2 ,· · ·, so the selected momenta for LLs arek ξ = √ 2Bnforn= 1,2,3,· · ·.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators The quantization rule isξ= 1 2 ,1 + 1 2 ,2 + 1 2 ,· · ·, so the selected momenta for LLs arek ξ = √ 2Bnforn= 1,2,3,· · ·

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T05:07:35.870852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 6002eddf-5767-4310-ac0b-33ae8a5da8cf · outbound

This paper cites Similarly,H (−1) has one extra state (0,|0⟩) T , with energyE ex =−α ′(B2 −k 4 0)−β ′(B−k 2 0).

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators Similarly,H (−1) has one extra state (0,|0⟩) T , with energyE ex =−α ′(B2 −k 4 0)−β ′(B−k 2 0)

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T05:07:35.861809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 6e442028-ee60-4de3-ab46-6091b29326de · outbound

This paper cites an unresolved cited work.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-05-23T05:07:35.877099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation b8612c53-ff72-447e-8c27-40a25890c0a9 · outbound

This paper cites spread of LLs.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators spread of LLs

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T05:07:35.897988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation d7f9348c-7bb2-4b0c-842d-cb43fb251f7f · outbound

This paper cites fermi surface.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators fermi surface

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T05:07:35.769012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation bbf2bef1-4c62-405e-9b28-3873b751a9ea · outbound

This paper cites aperiodic quantum oscillation.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators aperiodic quantum oscillation

Reference 10

Resolution: verified exact; doi, observed 2026-05-23T05:07:34.683036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation d1f4d057-0e39-4500-aa39-12b304f1437c · outbound

This paper cites The general three-band Hamiltonian reads Hk = ˆD(k) + u(k) ˆU+ +v(k) ˆV+ +i(k) ˆI+ + h.c.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators The general three-band Hamiltonian reads Hk = ˆD(k) + u(k) ˆU+ +v(k) ˆV+ +i(k) ˆI+ + h.c

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T05:07:35.816995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation a475e13f-ce38-4847-9170-c99748cb71bb · outbound

This paper cites 2 −3 −2 −1 0 1 2 3 4 5 0 0 .2 0 .4 0 .6 0 .8 1 1 .2 1 .4 1 .6 1 .8 2 E/(βk2 0) 2B/k 2 0 FIG.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators 2 −3 −2 −1 0 1 2 3 4 5 0 0 .2 0 .4 0 .6 0 .8 1 1 .2 1 .4 1 .6 1 .8 2 E/(βk2 0) 2B/k 2 0 FIG

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T05:07:35.822894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 2388ef05-e2e3-4c91-bdf7-cdb034140d01 · outbound

This paper cites an unresolved cited work.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-05-23T05:07:35.795684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation da2766a2-36a8-4715-b846-4e89da19ef89 · outbound

This paper cites S1, from which we can see its effective band-gap closes as magnetic fieldBgets large.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators S1, from which we can see its effective band-gap closes as magnetic fieldBgets large

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T05:07:35.890245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 71fe174e-1e49-48b4-ae6d-f24817a62955 · outbound

This paper cites On the other hand, the effective band is given by Eq.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators On the other hand, the effective band is given by Eq

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T05:07:35.881513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation b23ea8c4-568a-446f-834c-ec9cd8323e13 · outbound

This paper cites an unresolved cited work.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-05-23T05:07:35.847604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation b631c2fa-d3a8-47a5-b78e-1840b43e09fb · outbound

This paper cites an unresolved cited work.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-05-23T05:07:35.836737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 0a1fe2d7-7128-48f6-bd8e-992fa7dd9b1f · outbound

This paper cites spread of LLs.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators spread of LLs

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T05:07:35.852655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 5dedefe3-a56d-495b-8b0c-3b39095e9291 · outbound

This paper cites Inside magnetic field, approximately the new crossing point for these two bands is determined by β(k2 −k 2.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators Inside magnetic field, approximately the new crossing point for these two bands is determined by β(k2 −k 2

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T05:07:35.806087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 6855a8db-a158-46c5-9514-c0d6483826e3 · outbound

This paper cites reference frame.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators reference frame

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T05:07:35.885334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 3f1eaa93-281a-455d-a579-6b7e93d46d99 · outbound

This paper cites We set the chemical potential to be at energy zero.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators We set the chemical potential to be at energy zero

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T05:07:35.777975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation bba976e5-1a0d-4d44-ae66-6cb724d47456 · outbound

This paper cites an unresolved cited work.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-05-23T05:07:35.784263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 16cf1ea8-eb00-4949-9a5c-ba48ec03dcdc · outbound

This paper cites an unresolved cited work.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-05-23T05:07:35.801918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation a0e2feda-cb8b-4601-ac1b-d086585f2c93 · outbound

This paper cites an unresolved cited work.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-05-23T05:07:35.773423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation aca9211b-f82b-4bd6-a850-070bb5ddb688 · outbound

This paper cites an unresolved cited work.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-05-23T05:07:35.894812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 5521206a-af9d-4db3-8fa5-df41b9b7033a · outbound

This paper cites an unresolved cited work.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators Unresolved cited work

Reference 26

Resolution: parse uncertain; raw_fallback, observed 2026-05-23T05:07:35.857164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 5f349f3a-9c94-4ed7-8e4e-42c56ada66cc · outbound

This paper cites an unresolved cited work.

Anomalous Landau levels and quantum oscillation in rotation-invariant insulators Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-05-23T05:07:35.866445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Pith citing papers

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