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Paper Citation Record · LEDGER

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model

As of 10 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 0 inbound Pith citation observations for arXiv:2608.02753.

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

pith.paper-citation-record.v1
2608.02753 v1

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measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

57 of 57 outbound references displayed

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External citation measurements

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Outbound references

Observation 9cf28191-efc2-4cf6-ba5b-8422befa193b · outbound

This paper cites an unresolved cited work.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Unresolved cited work

Reference 1

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Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Unresolved cited work

Reference 2

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Observation 7ba3dc7d-b436-45c5-95c8-45a8edbda945 · outbound

This paper cites Quantum spin liquids: a review.Reports on Progress in Physics, 80(1):016502, 2017.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Quantum spin liquids: a review.Reports on Progress in Physics, 80(1):016502, 2017

Reference 3

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Observation ec517a05-c733-4784-9141-ce1df3226971 · outbound

This paper cites Quan- tum spin liquid states.Reviews of Modern Physics, 89(2):025003, 2017.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Quan- tum spin liquid states.Reviews of Modern Physics, 89(2):025003, 2017

Reference 4

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Observation 9b81ede0-ddee-4feb-a498-f3ba5a6ad6e7 · outbound

This paper cites Colloquium: Zoo of quantum- topological phases of matter.Reviews of Modern Physics, 89(4):041004, 2017.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Colloquium: Zoo of quantum- topological phases of matter.Reviews of Modern Physics, 89(4):041004, 2017

Reference 5

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Observation 2e98e4f2-a18f-4cd3-a307-ad3b1fc04774 · outbound

This paper cites Doping a mott insulator: Physics of high-temperature superconductivity.Reviews of modern physics, 78(1):17– 85, 2006.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Doping a mott insulator: Physics of high-temperature superconductivity.Reviews of modern physics, 78(1):17– 85, 2006

Reference 6

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Observation 033538e4-4e06-4a6d-8392-d87c66104ece · outbound

This paper cites Doping the chiral spin liquid: Topological superconduc- tor or chiral metal.Physical Review B, 103(16):165138, 2021.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Doping the chiral spin liquid: Topological superconduc- tor or chiral metal.Physical Review B, 103(16):165138, 2021

Reference 7

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Observation f39d83f7-d009-456d-9cd6-b0375c69c03b · outbound

This paper cites Chiral pseudospin liquids in moir´ e heterostructures.Physical Review X, 14(2):021013, 2024.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Chiral pseudospin liquids in moir´ e heterostructures.Physical Review X, 14(2):021013, 2024

Reference 8

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Observation cf5a8d32-727c-4374-806e-5b5bde1516b8 · outbound

This paper cites Chiral spin liq- uid and quantum phase transition in the triangular- lattice hofstadter-hubbard model.Physical Review B, 113(12):L121107, 2026.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Chiral spin liq- uid and quantum phase transition in the triangular- lattice hofstadter-hubbard model.Physical Review B, 113(12):L121107, 2026

Reference 9

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Observation f84c336f-41bd-4dcb-a65e-adc83e137531 · outbound

This paper cites Gallegos, Rafael M.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Gallegos, Rafael M

Reference 10

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Observation 1bdc2955-95f1-453f-9950-46f46e504179 · outbound

This paper cites an unresolved cited work.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Unresolved cited work

Reference 11

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Observation fb8a54f6-a9ef-4bef-addd-977d0fa3a044 · outbound

This paper cites Approaching the thermodynamic limit with neural-network quantum states.arXiv preprint arXiv:2602.02665, 2026.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Approaching the thermodynamic limit with neural-network quantum states.arXiv preprint arXiv:2602.02665, 2026

Reference 12

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Observation 2752cdf0-74e8-499e-95fa-c57b743b166c · outbound

This paper cites This is in contrast to an earlier DMRG study that only found a∼25% decrease relative to the band gap [13].

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model This is in contrast to an earlier DMRG study that only found a∼25% decrease relative to the band gap [13]

Reference 13

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Observation c6c9511a-875f-499d-8524-29b95237aafc · outbound

This paper cites Anyon superconductiv- ity from topological criticality in a hofstadter–hubbard model.Proceedings of the National Academy of Sciences, 122(33):e2426680122, 2025.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Anyon superconductiv- ity from topological criticality in a hofstadter–hubbard model.Proceedings of the National Academy of Sciences, 122(33):e2426680122, 2025

Reference 14

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Observation f3846ce2-8186-4e84-ab1b-19231db87a14 · outbound

This paper cites Robust superconductivity upon doping chiral spin liquid and Chern insulators in a Hubbard-Hofstadter model.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Robust superconductivity upon doping chiral spin liquid and Chern insulators in a Hubbard-Hofstadter model

Reference 15

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Observation 11e1cbdc-1bc7-479b-9805-4f3a069ee3c9 · outbound

This paper cites Topological chiral superconductivity in the triangular-lattice hofstadter-hubbard model.Physical Review Letters, 136(8):086503, 2026.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Topological chiral superconductivity in the triangular-lattice hofstadter-hubbard model.Physical Review Letters, 136(8):086503, 2026

Reference 16

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Observation cc49ff0e-94cf-4d38-a6b2-ff12356cc9ae · outbound

This paper cites Solving the quan- tum many-body problem with artificial neural networks.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Solving the quan- tum many-body problem with artificial neural networks

Reference 17

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Observation fea26597-2952-4a27-b8df-de61c03ee82e · outbound

This paper cites Better, Faster Fermionic Neural Networks.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Better, Faster Fermionic Neural Networks

Reference 18

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Observation 842602b0-74c9-4410-ba1e-f11352b33689 · outbound

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Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Unresolved cited work

Reference 19

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Observation 69d79dec-0e49-4d56-8ce4-d0b1df0c49a2 · outbound

This paper cites From architectures to applica- tions: a review of neural quantum states.Quantum Sci- ence and Technology, 9(4):040501, 2024.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model From architectures to applica- tions: a review of neural quantum states.Quantum Sci- ence and Technology, 9(4):040501, 2024

Reference 20

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Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Unresolved cited work

Reference 21

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Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Unresolved cited work

Reference 22

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Observation 26fb7ffc-8491-4eea-805e-77628a94b2a2 · outbound

This paper cites Remarks and generalizations about SU 2×SU 2 symmetry of Hubbard models.Physics Letters A, 161(3):292–294, December 1991.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Remarks and generalizations about SU 2×SU 2 symmetry of Hubbard models.Physics Letters A, 161(3):292–294, December 1991

Reference 23

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Observation 758bc213-efff-454d-8c89-fb5cbee30dca · outbound

This paper cites FIELD THEORY METHODS AND QUAN- TUM CRITICAL PHENOMENA.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model FIELD THEORY METHODS AND QUAN- TUM CRITICAL PHENOMENA

Reference 24

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Observation 0ef111c8-9857-4612-bb1a-cb0effa5c3a0 · outbound

This paper cites Neural Network-Augmented Pfaffian Wave-functions for Scalable Simulations of Interacting Fermions.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Neural Network-Augmented Pfaffian Wave-functions for Scalable Simulations of Interacting Fermions

Reference 25

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Observation f762d857-249a-47f3-8aca-cd80eeee201c · outbound

This paper cites Superconductivity in the two-dimensional hubbard model revealed by neural quantum states.arXiv preprint arXiv:2511.07566, 2025.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Superconductivity in the two-dimensional hubbard model revealed by neural quantum states.arXiv preprint arXiv:2511.07566, 2025

Reference 26

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Observation 7c22f45b-ed92-4d50-8049-3e48bc4385fd · outbound

This paper cites Simu- lating superconductivity in mixed-dimensionalt ∥−j∥−j⊥ bilayers with neural quantum states.arXiv preprint arXiv:2602.10091, 2026.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Simu- lating superconductivity in mixed-dimensionalt ∥−j∥−j⊥ bilayers with neural quantum states.arXiv preprint arXiv:2602.10091, 2026

Reference 27

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Observation b2bedd8f-2ece-454e-b8d2-a43364768e7a · outbound

This paper cites Empowering deep neural quantum states through efficient optimization.Nature Physics, 20(9):1476–1481, 2024.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Empowering deep neural quantum states through efficient optimization.Nature Physics, 20(9):1476–1481, 2024

Reference 28

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Observation f96a0988-79c6-4f2f-b121-db7420c62fce · outbound

This paper cites Universal jump in the superfluid density of two-dimensional super- fluids.Physical Review Letters, 39(19):1201, 1977.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Universal jump in the superfluid density of two-dimensional super- fluids.Physical Review Letters, 39(19):1201, 1977

Reference 29

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Observation 993213b9-ff64-4619-b1b2-363efe9efbaf · outbound

This paper cites an unresolved cited work.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Unresolved cited work

Reference 30

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Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Unresolved cited work

Reference 31

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Observation 0c203f06-0e5c-4b42-aab5-ed742a242c9d · outbound

This paper cites Halperin.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Halperin

Reference 32

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verified fuzzy
raw_fallback, observed 2026-08-07T00:13:27.662630Z

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.

source=pdf_text observed=2026-08-07T00:13:19.911431Z digest=sha256:a59bf84a28c6f05420424341cbea30beef906a7f71acc99a71310394c1f18bd8

Observation 035a4bb6-7d7e-4805-bbae-821f25c197ee · outbound

This paper cites an unresolved cited work.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:13:27.460503Z

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.

source=pdf_text observed=2026-08-07T00:13:19.958213Z digest=sha256:bf3f4bdb4afcc84e146afb5019aa0c3e59cd1092ea37ddbe7d35ad824bbf0d82

Observation 643042dd-7dfa-4624-adc3-afb4411fff03 · outbound

This paper cites an unresolved cited work.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:13:27.311691Z

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.

source=pdf_text observed=2026-08-07T00:13:20.007734Z digest=sha256:610aa05bc56fcecdc1b4fe65ef7adfe433bb1153c88cca33206b756619b94646

Observation 4fb78de6-3bde-471c-8ad6-4a8fcc885ce2 · outbound

This paper cites an unresolved cited work.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:13:27.097917Z

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.

source=pdf_text observed=2026-08-07T00:13:20.099877Z digest=sha256:cc6f36e8871e2863b49c17a36c2e8754d9d678950f1bbaa6fd54dea68a3e8e55

Observation dab6cdc4-09ca-4fea-97a1-cedb6aa1f155 · outbound

This paper cites an unresolved cited work.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:13:26.806144Z

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.

source=pdf_text observed=2026-08-07T00:13:20.152907Z digest=sha256:d0b60fd08295c1fb194378b4f81ae5d5a07b4d5fcc92e0482c04ebd9289522ed

Observation a4d8c15e-528d-4be2-81b4-426a63bfaba9 · outbound

This paper cites Supercon- ductivity in the anyon model.Phys.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Supercon- ductivity in the anyon model.Phys

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:26.510431Z

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.

source=pdf_text observed=2026-08-07T00:13:20.213117Z digest=sha256:40601c03b95cf845ec2cb8a698342ffd993cdd5b69666b1b6560d7a0849dcfe2

Observation 4691f999-f992-4ed1-a83f-97026c7cc970 · outbound

This paper cites Continuous transition between fractional quantum hall and super- fluid states.Phys.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Continuous transition between fractional quantum hall and super- fluid states.Phys

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:26.247494Z

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.

source=pdf_text observed=2026-08-07T00:13:20.269040Z digest=sha256:f811ecbb8ae58870874787d158a123b0c17b7bf266abfc3f63741d7095357d95

Observation 0afbbb64-2213-4e7e-a641-18c4c4301c92 · outbound

This paper cites Zaletel, Ashvin Vishwanath, and Yin-Chen He.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Zaletel, Ashvin Vishwanath, and Yin-Chen He

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:25.941511Z

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.

source=pdf_text observed=2026-08-07T00:13:20.340752Z digest=sha256:3bc49e70251da411ca32068ddc69979f274e9d6732e6f36794d9b93e54e27c00

Observation 07a69f36-b466-4317-b460-42e48c07a93c · outbound

This paper cites Chern-Simons-matter conformal field theory on fuzzy sphere: Confinement transition of Kalmeyer-Laughlin chiral spin liquid.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Chern-Simons-matter conformal field theory on fuzzy sphere: Confinement transition of Kalmeyer-Laughlin chiral spin liquid

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-07T00:13:20.403926Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:13:20.403926Z digest=sha256:0499fc2e9c8439b776dc5697d510c13bf76b54e720d2221f7e79e1d8d821ac5f

Observation fc095cae-7940-44e4-bab2-2977c44b99d5 · outbound

This paper cites Microscopic mechanism of anyon superconductivity emerging from fractional chern insulators.Newton, 2(3), 2026.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Microscopic mechanism of anyon superconductivity emerging from fractional chern insulators.Newton, 2(3), 2026

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:25.689169Z

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.

source=pdf_text observed=2026-08-07T00:13:20.476741Z digest=sha256:89e5319c3a6f90c4f55644e575a5bf9aa1008c723fe4aaf03e5dcce285c3610d

Observation 6fb2f5e0-285b-4c86-b046-920fc9ddab60 · outbound

This paper cites Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-07T00:13:20.567358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:13:20.567358Z digest=sha256:b3e4151a7f757eb3cb16f414839175f7612d26861ef04df1def0e28b064fb516

Observation 489882a9-6c15-409d-bc68-39d67f00bfa5 · outbound

This paper cites Hubbard model physics in transi- tion metal dichalcogenide moir´ e bands.Physical review letters, 121(2):026402, 2018.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Hubbard model physics in transi- tion metal dichalcogenide moir´ e bands.Physical review letters, 121(2):026402, 2018

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:25.307580Z

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.

source=pdf_text observed=2026-08-07T00:13:20.657654Z digest=sha256:7ac36b808ef54ab0b903e7cdf78fe25c20f6aa8e55d923f77386af9d3371803e

Observation 4bfe9e74-67cb-48fc-b783-9eea0236019a · outbound

This paper cites Quantum electrodynamics in 2+ 1 dimensions as the organizing principle of a triangular lattice antifer- romagnet.Physical Review X, 14(2):021010, 2024.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Quantum electrodynamics in 2+ 1 dimensions as the organizing principle of a triangular lattice antifer- romagnet.Physical Review X, 14(2):021010, 2024

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:25.096320Z

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.

source=pdf_text observed=2026-08-07T00:13:20.739713Z digest=sha256:6ee0bca113080aeaec22cef4f51411d903a332e327ef649257a880d9088993f6

Observation 349c2e5e-d836-4410-8929-46a3291512cd · outbound

This paper cites High-accuracy variational monte carlo for frustrated magnets with deep neural networks.Physical Review B, 108(5):054410, 2023.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model High-accuracy variational monte carlo for frustrated magnets with deep neural networks.Physical Review B, 108(5):054410, 2023

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:24.878990Z

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.

source=pdf_text observed=2026-08-07T00:13:20.800246Z digest=sha256:7a626f2dd29e532d91fca9f95f77e83e243e1b5d8650150526fc1e1f38e67451

Observation 73b80629-6001-45b6-a14f-ccdee5f219ee · outbound

This paper cites an unresolved cited work.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:13:24.685359Z

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.

source=pdf_text observed=2026-08-07T00:13:20.868637Z digest=sha256:5363e93199143de9570e5a3be08610e097ab01b1e17b8c44851e0d37cc3cdf07

Observation 2c48ee14-c35d-4153-bafe-ca98e7f0356f · outbound

This paper cites Insulator, metal, or superconductor: The criteria.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Insulator, metal, or superconductor: The criteria

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:24.539003Z

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.

source=pdf_text observed=2026-08-07T00:13:20.935241Z digest=sha256:71e15da6e4f071593932d60ad9081159db51e3693306491341d4b35a80523580

Observation 1d7a1d9c-926d-4880-a366-a893b4c81b6e · outbound

This paper cites Variance extrapolation method for neural-network variational Monte Carlo.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Variance extrapolation method for neural-network variational Monte Carlo

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-08-07T00:13:22.037260Z

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.

source=pdf_text observed=2026-08-07T00:13:20.993705Z digest=sha256:a25e8d75416d2bb21d4c6fdaf0af05bdcf9e20e17e98dd34f5b378d4ffc878b7

Observation fabd74b3-aa5e-4079-b2f0-f3908a3e04d2 · outbound

This paper cites The exception is quantum critical phases whereC ˆO(r)∼1/|r| η at large|r|.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model The exception is quantum critical phases whereC ˆO(r)∼1/|r| η at large|r|

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:24.330452Z

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.

source=pdf_text observed=2026-08-07T00:13:21.029304Z digest=sha256:d0439f58f7db0687f2a448f3497167034a66c437b33e17a0fac0273dd32e7ba0

Observation 70a08081-f833-4747-9504-0c7375da0f45 · outbound

This paper cites 2 we present evidence that there are critical charge fluctuations in the vicinity of the QCP.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model 2 we present evidence that there are critical charge fluctuations in the vicinity of the QCP

Reference 50

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T00:13:24.171221Z

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.

source=pdf_text observed=2026-08-07T00:13:21.079631Z digest=sha256:24b1ca1deb4b8cd6e7ac92d5cf134e0c10b5f86de2964f311b6f051c3a732859

Observation 74c55285-37ec-42b6-b2de-5488b3660d34 · outbound

This paper cites The charge structure factor is 0 atk=0and positive definite, therefore we can fit the low-|k|behavior to a power law.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model The charge structure factor is 0 atk=0and positive definite, therefore we can fit the low-|k|behavior to a power law

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:23.880298Z

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.

source=pdf_text observed=2026-08-07T00:13:21.197090Z digest=sha256:17001b12935edc6c176d8217195c883991ae1fbc0738fe75a74c6196b3040a4a

Observation 7c467a3c-8372-445d-90d8-c0fc18b6c4a9 · outbound

This paper cites As defined in App.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model As defined in App

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:23.756178Z

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.

source=pdf_text observed=2026-08-07T00:13:21.282543Z digest=sha256:a1332f0196e9ade88d0cd063ef20574af0a6b41a3c2c282430810d815ffa3898

Observation 9ec434ba-f1e4-4c9d-b58e-375490c663dc · outbound

This paper cites (D2) may be approximated using a finite difference method on the larger systems, Ds = 4√ 3 E(ϕy =ϕ s)−E(ϕ y = 0) ϕ2s ,(D4) where we setϕ s = 0.4×2π.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model (D2) may be approximated using a finite difference method on the larger systems, Ds = 4√ 3 E(ϕy =ϕ s)−E(ϕ y = 0) ϕ2s ,(D4) where we setϕ s = 0.4×2π

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:23.513121Z

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.

source=pdf_text observed=2026-08-07T00:13:21.422045Z digest=sha256:d5db746532fbf959d0193e879c8607159652e3885a356dff7a19eda676614785

Observation 18966c0e-d67f-4fbb-9000-ca2ec85b780a · outbound

This paper cites 10(b) the superfluid stiffness is shown on the 192 and 432 site clusters atδ= 1/24 as a function ofU.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model 10(b) the superfluid stiffness is shown on the 192 and 432 site clusters atδ= 1/24 as a function ofU

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:23.287001Z

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.

source=pdf_text observed=2026-08-07T00:13:21.508274Z digest=sha256:eefb43018570e480fea1ef5cc321f199844aecaa13e987500cf21b2eb9528b1e

Observation 4e4a4b4b-57e2-4c34-bf8b-5ae881995f87 · outbound

This paper cites The visible-visible couplings have a 2×2 sublattice structure such that they have the same unit cell as the Hamiltonian couplings.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model The visible-visible couplings have a 2×2 sublattice structure such that they have the same unit cell as the Hamiltonian couplings

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:23.034435Z

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.

source=pdf_text observed=2026-08-07T00:13:21.560344Z digest=sha256:cad9921918aefc216c9d7676d4270c587d1ecffa23b8268e092f0b3372e8e7f9

Observation 214eae28-4940-45f9-adbb-a54b4a1223f6 · outbound

This paper cites Further- more, the superfluid stiffness is computed from the dependence of the ground-state energy on the threaded flux.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model Further- more, the superfluid stiffness is computed from the dependence of the ground-state energy on the threaded flux

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:22.807925Z

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.

source=pdf_text observed=2026-08-07T00:13:21.718955Z digest=sha256:a7a683c73aa6fd115e3594c4ac464a86f56144e4483cfdb05481952d85bed308

Observation a67386c3-30b4-4045-985f-088aca2643df · outbound

This paper cites In Table III the approx- imate time needed for 2000 training iterations at half filling is shown as a function of system size.

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model In Table III the approx- imate time needed for 2000 training iterations at half filling is shown as a function of system size

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:22.597424Z

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.

source=pdf_text observed=2026-08-07T00:13:21.820718Z digest=sha256:daacb11bbdfa9e49a47531233e0912590de237d27019b55a783cb19f65703688

Pith citing papers

No inbound Pith citation observations are available.