Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T21:47:25.346685Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 80 of 80 outbound references and 2 inbound Pith citation observations for arXiv:2509.07784.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T21:47:25.346685Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-04T06:39:54.188620Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-16T18:51:11.525083Z
80 of 80 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation fccf843b-882d-4ef4-b2b6-704730d31bba · outbound
Valley Order in Moir\'e Topological Insulators We use the symbolσ=±1 to denote its direction andBfor its magnitude
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6b2fa64b-30ed-4848-8c1b-728bb2059418 · outbound
Valley Order in Moir\'e Topological Insulators The presence of a magnetic field modifies the translation operators and the way in which periodic boundary conditions are applied to finite-size systems
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cc4f7cc8-b77e-4987-ae9b-3b01ec167d78 · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 79e8b44f-c16e-42e2-8f1f-91aea3dc99c7 · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 83a0c3ef-6f90-472a-b423-f4fc21ca3d60 · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ccecd38f-bb15-4ed6-930d-598b3952f24f · outbound
Valley Order in Moir\'e Topological Insulators In our problem, the basis bands are Landau levels
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cf093f8e-136d-4987-b439-eb5f6abf1863 · outbound
Valley Order in Moir\'e Topological Insulators 4 derived from Eq
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 98c898d7-14a5-4824-b0e1-be6308e0785e · outbound
Valley Order in Moir\'e Topological Insulators In this appendix, we present the require- ments for the Hartree-Fock density matrices (orθ k and ϕk) to exhibit a certain symmetry
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1a790dc7-5196-4a02-a18e-d69664c13074 · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d4db7b0b-318e-4dd6-ad15-19fdcab4088a · outbound
Valley Order in Moir\'e Topological Insulators Finally in Section V we present our conclusions
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c4bdcbc0-a015-4f1f-b39d-9af288a85782 · outbound
Valley Order in Moir\'e Topological Insulators If the Hamiltonian is perturbed with the term ˆB ϵeiωt, the expectation of the observable ˆAis varied by an amount linear toϵe iωt whenϵ→0
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6e7287ba-6d76-4a50-b531-517ead96ea2b · outbound
Valley Order in Moir\'e Topological Insulators Two simplifications are made for further calculations
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation abb62e5e-665c-45bc-9be0-f32d5aab5f26 · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c478f209-7263-4a33-bf9d-cfe1b9ec4bbf · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 14738159-8334-4e9f-a31b-eb37564aade6 · outbound
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7b0a0574-3a85-4594-8a05-dc1ec60d1358 · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d4f05c3f-6a21-4afa-bf0d-5d5834d8f240 · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2567ca24-a899-4521-976e-397374c29217 · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation dec78c4a-4b77-408a-9ac4-ec73aba2e837 · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c6f0cc9-d216-44dc-b938-d1ac14b5367e · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 13ac8e77-73c3-49da-b9a8-82b455d00d7e · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a93834e0-d42e-43c0-bb1b-af09778dcd86 · outbound
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 670b04a2-7a24-438e-a64a-18fd372fd49f · outbound
Valley Order in Moir\'e Topological Insulators Probing Quantum Anomalous Hall States in Twisted Bilayer WSe2 via Attractive Polaron Spectroscopy
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6f08352e-72bf-497d-abcd-acf587ec03e1 · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c351b73b-ad66-483a-93a0-b7b0a11dbfe7 · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2167bad3-ec07-467d-8d86-3bbd3936e2ed · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b187fd3e-29ee-4b62-838f-2a06cc79d53d · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e4d850a2-037a-4f68-921e-d86abc9ab30c · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ea5db094-fd0d-4f2e-af6a-52815d0799c1 · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f4b90ead-a66c-40b7-81fb-6b8e5e52551e · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cab9e448-42e4-43e7-adbd-ffebd22bb3cc · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8652b862-8d80-42db-89ac-5ae7089baeea · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b0429967-9ed2-48ef-9093-03147c2a7442 · outbound
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a13a712d-af7b-4edb-9e9b-ab41395f3e5a · outbound
Valley Order in Moir\'e Topological Insulators Chang, C.-X
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b84a9e11-7c26-4740-af4d-ffe6a3ac1ad3 · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ee70d064-2e0a-4f3c-ba35-69dac900c5af · outbound
Valley Order in Moir\'e Topological Insulators Valley-coherent quantum anomalous Hall state in AB-stacked MoTe2/WSe2 bilayers
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8e973c42-cd59-4eab-9f43-dddf8f929bda · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 986279b7-fda6-422a-8972-7475c311f4bd · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5d8df5b0-e1e0-4f70-99bb-69b378cec623 · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e9f9dc2e-55fa-42a0-9cb9-c0dd02cc2ae9 · outbound
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 01a8ad73-4740-46a5-a47b-c2b129445b87 · outbound
Valley Order in Moir\'e Topological Insulators Morales-Dur´ an, J
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d6992faa-3697-478f-8b04-bb5f94f29ebd · outbound
Valley Order in Moir\'e Topological Insulators Bultinck, S
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 49b87b46-419e-416c-940d-595c6c8670ee · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fd9a2355-9691-44d9-89d6-37c8df1d47f3 · outbound
Valley Order in Moir\'e Topological Insulators Abouelkomsan and L
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ab1edacf-db8a-46bc-8507-94b870ce3f08 · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d76c5b2e-e689-43a9-a37d-596761ec3356 · outbound
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 629c4d98-eedc-4cd0-8c9b-f02a73c1f89d · outbound
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bcc89caa-8c2a-49b5-8308-b387cac4deda · outbound
Valley Order in Moir\'e Topological Insulators Cr´ epel and A
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6afb38a5-2d93-45b3-9666-5c59ffb36202 · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 89b35cc6-9226-49ca-90c4-66ae0c4feb3e · outbound
Valley Order in Moir\'e Topological Insulators May-Mann, A
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 355f7bd5-54e0-4e09-be30-d48b8141ee71 · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c9b225a6-1e45-4eb2-8464-4e25a04b1027 · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bfe7455a-f763-4515-90bb-3e6c9adfa1d2 · outbound
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9a7414b9-84fc-4666-b2cf-4637896cf6e9 · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7a292481-7577-4a15-a805-3c7fdd45842f · outbound
Valley Order in Moir\'e Topological Insulators Zhang, Non-Abelian and Abelian descendants of a vortex spin liquid: Fractional quantum spin Hall effect in twisted${\mathrm{MoTe}} {2}$, Physical Review B 110, 155102 (2024)
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 210538d2-0b39-45c1-8531-e35d2f5f34da · outbound
Valley Order in Moir\'e Topological Insulators When Could Abelian Fractional Topological Insulators Exist in Twisted MoTe$_2$ (and Other Systems)
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6961b9eb-72f8-4859-9650-79fcd6ba45dc · outbound
Valley Order in Moir\'e Topological Insulators Morales-Dur´ an, N
Reference 57
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f5faddd0-a3cd-4f43-b34e-ae8fa29bd52c · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6bf33389-5df0-40b4-a5d9-61c7dc50aeaf · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c27e31c1-e565-4dbb-b32e-f611d32f900e · outbound
Valley Order in Moir\'e Topological Insulators Introduction to the Physics of the Quantum Hall Regime
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 542c425b-39a9-4151-8b3c-b6b5c4ff353c · outbound
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4f08e236-2dfb-487b-b9cd-b9cb7c652e58 · outbound
Valley Order in Moir\'e Topological Insulators Brown, Bloch electrons in a uniform magnetic field, Physical Review133, A1038 (1964)
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 069ac641-68dd-4d91-b746-f376e9428ccd · outbound
Valley Order in Moir\'e Topological Insulators Zak, Magnetic translation group, Physical Review134, A1602 (1964)
Reference 63
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9dd5eddb-154a-42d9-a85b-20bf618035d6 · outbound
Valley Order in Moir\'e Topological Insulators Haldane, Many-particle translational symmetries of two-dimensional electrons at rational landau-level filling, Physical review letters55, 2095 (1985)
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ee4d8264-78f1-405d-b50d-196c70021d17 · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 65
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ec02ab68-747e-44bf-9ea7-8ac720a13041 · outbound
Valley Order in Moir\'e Topological Insulators It is natural to consider whether or not inter-valley coherence in some devices could explain this behavior
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 90487a0d-3511-49ba-b31b-6473d43b3bf9 · outbound
Valley Order in Moir\'e Topological Insulators Te˘ sanovi´ c and M
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 32d96351-0d18-4e72-aa0b-27b445a3dd2d · outbound
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8fd71359-2659-493f-9b51-e13cee7e19fa · outbound
Valley Order in Moir\'e Topological Insulators Eisenstein and A
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ee88e927-1345-4c65-ad8f-5a31931d5e8f · outbound
Valley Order in Moir\'e Topological Insulators Jungwirth and A
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 082f484b-baf3-4f70-9fcc-653c50fd017f · outbound
Valley Order in Moir\'e Topological Insulators Mac-Donald and L
Reference 71
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation de430178-0b00-455f-9c17-3b5e0819e5e6 · outbound
Valley Order in Moir\'e Topological Insulators Streda, Theory of quantised hall conductivity in two dimensions, Journal of Physics C: Solid State Physics15, L717 (1982)
Reference 72
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 935e86ef-04fa-4c34-a767-759345f7958f · outbound
Valley Order in Moir\'e Topological Insulators Widom and T
Reference 73
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 15002e1a-5b09-481f-9b6f-0030ed4112fc · outbound
Valley Order in Moir\'e Topological Insulators Yang and M.-C
Reference 74
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 569b1e1a-4c27-487b-8ec2-876e88654072 · outbound
Valley Order in Moir\'e Topological Insulators Monaco and M
Reference 75
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 03f53fc9-db83-495e-b8d8-15e62eeb34f7 · outbound
Valley Order in Moir\'e Topological Insulators Observation of the double quantum spin Hall phase in moir\'e WSe2
Reference 76
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 945f3cb1-7125-4b1a-9705-bc3a1d924bec · outbound
Valley Order in Moir\'e Topological Insulators Unresolved cited work
Reference 77
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c0ff637b-9db9-4771-93db-a69e7af4700b · outbound
Valley Order in Moir\'e Topological Insulators Haldane, A modular-invariant modified weierstrass sigma-function as a building block for lowest-landau-level wavefunctions on the torus, Journal of Mathematical Physics59(2018)
Reference 78
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 82eace28-de20-40c0-b615-3df802650030 · outbound
Valley Order in Moir\'e Topological Insulators ground subspace
Reference 79
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 63db0fe4-bef8-4515-a62f-ca43d0024344 · outbound
Valley Order in Moir\'e Topological Insulators Universal Magnetic Phases in Twisted Bilayer MoTe$_2$
Reference 80
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a970dbcd-7fca-43b9-a283-438e281f8cbc · inbound
Emergence of Topological Electron Crystals in Bilayer Graphene--Mott Insulator Heterostructures Valley Order in Moir\'e Topological Insulators
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ad3d7bbf-b789-460e-bf82-3b13703567ce · inbound
Emergence of Topological Electron Crystals in Bilayer Graphene--Mott Insulator Heterostructures Valley Order in Moir\'e Topological Insulators
Reference 64
Source-reported events for the cited work
Unavailable: canonical work link unavailable.