Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models | Paper Citation Record

Observation e2aaf022-964d-47d0-91f5-48f914814855 · outbound

This paper cites Hermitian.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Hermitian

Reference 1

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Observation c0bd8c5e-832b-4a75-887c-63f097855928 · outbound

This paper cites In what follows, the dependence on θ is omitted in the notation.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models In what follows, the dependence on θ is omitted in the notation

Reference 2

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Observation 395ad46d-e100-40b7-b7dd-a2d338dec908 · outbound

This paper cites exp” and “th.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models exp” and “th

Reference 3

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Observation d1a2ad87-54d9-498b-b4f1-6fa6053b2b54 · outbound

This paper cites an unresolved cited work.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Unresolved cited work

Reference 4

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Observation 47da1e55-2164-4fc1-a9b1-4d04ecf4667e · outbound

This paper cites Topological Insulators.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Topological Insulators

Reference 5

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Observation d63d547a-e8ee-43ba-aa53-ec0931516971 · outbound

This paper cites Periodic table for topological insulators and superconductors.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Periodic table for topological insulators and superconductors

Reference 6

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Observation 49dc4c96-49b0-40a3-a8a5-74def8333ac0 · outbound

This paper cites Topological insulators and superconductors.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Topological insulators and superconductors

Reference 7

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Observation 745e82d1-c338-4020-9b2f-185578dbe984 · outbound

This paper cites Topological insulators and superconductors: ten-fold way and dimensional hierarchy.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Topological insulators and superconductors: ten-fold way and dimensional hierarchy

Reference 8

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Observation 4164dda1-52d3-4a88-834d-f5cfac99a245 · outbound

This paper cites Absence of diffusion in certain random lattices.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Absence of diffusion in certain random lattices

Reference 9

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Observation ff674d95-abf9-416d-8fb7-84b036401c33 · outbound

This paper cites 50 years of Anderson Localization.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models 50 years of Anderson Localization

Reference 10

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Observation caf8c923-b241-4a60-b247-ac728d6a5626 · outbound

This paper cites & Souillard, B.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models & Souillard, B

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:25.933183Z

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Observation d8419899-991b-4bbe-9992-4d27236dd810 · outbound

This paper cites An Introduction to the Mathematics of Anderson Localization.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models An Introduction to the Mathematics of Anderson Localization

Reference 12

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Observation 6cf1b68a-c150-43cf-9117-8f35701d6c14 · outbound

This paper cites & Ramakrishnan, T.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models & Ramakrishnan, T

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:25.922324Z

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Observation d54c0a98-fa97-44f2-9d6d-efdd8a863400 · outbound

This paper cites Unusual band structure, wave functions and electrical conductance in crystals with incommensurate periodic potentials.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Unusual band structure, wave functions and electrical conductance in crystals with incommensurate periodic potentials

Reference 14

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Observation bf6f8fc6-cccb-4bd4-9c99-9411cfae0e7e · outbound

This paper cites Anderson localization of a non-interacting Bose-Einstein condensate.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Anderson localization of a non-interacting Bose-Einstein condensate

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:46:25.685388Z

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Observation 63ab40d9-354f-4dc3-837f-9eb2e8176d37 · outbound

This paper cites & Christodoulides, D.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models & Christodoulides, D

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:25.899407Z

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Observation 462ec9c7-1a9d-4c7d-85ef-944194924b02 · outbound

This paper cites Direct observation of a localization transition in quasi-periodic photonic lattices.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Direct observation of a localization transition in quasi-periodic photonic lattices

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:46:25.668643Z

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Observation 00cc157b-2ccb-4d44-805d-59dba59c79a1 · outbound

This paper cites Observation of non-Hermitian topological Anderson insulator in quantum dynamics.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Observation of non-Hermitian topological Anderson insulator in quantum dynamics

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:46:25.649510Z

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Observation 8c7d6b99-d98b-42f4-a11a-12a37d066c8f · outbound

This paper cites Simulating non-Hermitian quasicrystals with single-photon quantum walks.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Simulating non-Hermitian quasicrystals with single-photon quantum walks

Reference 19

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Observation a87bb7e5-48da-4104-94d8-cd669224336d · outbound

This paper cites & Andr´ e, G.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models & Andr´ e, G

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:25.888023Z

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Observation 92190e3d-a02d-4c20-9900-8f2f9ebbbeb9 · outbound

This paper cites Localization and adiabatic pumping in a generalized Aubry-Andr\'e-Harper model.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Localization and adiabatic pumping in a generalized Aubry-Andr\'e-Harper model

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:46:25.620926Z

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Observation 6db22046-9b38-46b9-bf11-a6fcace1caec · outbound

This paper cites Self-duality of One-dimensional Quasicrystals with Spin-Orbit Interaction.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Self-duality of One-dimensional Quasicrystals with Spin-Orbit Interaction

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:46:25.601922Z

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Observation 3444334b-f17c-4b87-a430-1d0f46e5554a · outbound

This paper cites Metal-insulator transition for the almost Mathieu operator.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Metal-insulator transition for the almost Mathieu operator

Reference 23

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Observation e3935662-3821-4488-8110-70fe1684291f · outbound

This paper cites Observation of Topological Phase Transitions in Photonic Quasicrystals.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Observation of Topological Phase Transitions in Photonic Quasicrystals

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:46:25.569625Z

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Observation 4c2e7c39-dd22-4c84-8deb-9d800b76aa98 · outbound

This paper cites & Szameit, A.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models & Szameit, A

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:25.874618Z

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Observation 39a74291-3399-456a-9776-783265e357f5 · outbound

This paper cites Anderson localization and nonlinearity in one dimensional disordered photonic lattices.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Anderson localization and nonlinearity in one dimensional disordered photonic lattices

Reference 26

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Observation b2dd7060-9d81-46f9-a8c8-3a213e848abc · outbound

This paper cites Sharp Phase transitions for the almost Mathieu operator.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Sharp Phase transitions for the almost Mathieu operator

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:46:25.537049Z

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Observation e996a629-7048-4e91-8036-4672215ca9e4 · outbound

This paper cites Bloch electrons in a uniform magnetic field.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Bloch electrons in a uniform magnetic field

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:25.863307Z

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Observation e2e9de1e-84d3-4ebb-ab08-55aa49583900 · outbound

This paper cites an unresolved cited work.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Unresolved cited work

Reference 29

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Observation 861d20ad-9699-4549-ada6-c80ed7c20de2 · outbound

This paper cites J., Kohmoto, M., Nightingale, M.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models J., Kohmoto, M., Nightingale, M

Reference 30

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Observation 2b391d45-0d5a-4041-8032-4d2c216fbc03 · outbound

This paper cites an unresolved cited work.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:46:25.826217Z

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Observation 45d10d35-c2e7-4b33-afaf-7cfc9c58b0e1 · outbound

This paper cites Localization transitions and winding numbers for non-Hermitian Aubry-Andr´ e-Harper models with off- diagonal modulations.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Localization transitions and winding numbers for non-Hermitian Aubry-Andr´ e-Harper models with off- diagonal modulations

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:25.813652Z

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Observation 2b65d8f4-70b7-4e3b-92ea-f3455231fdbf · outbound

This paper cites Phase transitions in a non-Hermitian Aubry-Andr\'e-Harper model.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Phase transitions in a non-Hermitian Aubry-Andr\'e-Harper model

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:46:25.521457Z

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Observation 5d209b3e-d03e-4aae-bc71-d07845737cb6 · outbound

This paper cites PT Symmetric Aubry-Andre Model.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models PT Symmetric Aubry-Andre Model

Reference 35

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Observation fb59d379-570a-4168-ba0d-4064794c7a33 · outbound

This paper cites Topological phase transition in non-Hermitian quasicrystals.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Topological phase transition in non-Hermitian quasicrystals

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-15T17:46:25.127414Z

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Observation 67c2f9fa-f018-4248-9525-bdedc255750a · outbound

This paper cites & Chen, S.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models & Chen, S

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:25.801368Z

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Observation 3b96401d-ae9d-4922-bf9c-4f7bb302ae2b · outbound

This paper cites Introduction to PT-Symmetric Quantum Theory.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Introduction to PT-Symmetric Quantum Theory

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-15T17:46:25.134623Z

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Observation 559e7043-0a07-4751-b139-b8eb8ef5dd6f · outbound

This paper cites Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-15T17:46:25.138591Z

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Observation 6a9757ba-f06d-4b03-95cd-7f18cc2ef553 · outbound

This paper cites non-Hermitian.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models non-Hermitian

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:25.788896Z

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Observation d54d654c-170b-4226-a782-7c42f25584ad · outbound

This paper cites Almost Everything About the Unitary Almost Mathieu Operator.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Almost Everything About the Unitary Almost Mathieu Operator

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-15T17:46:25.146590Z

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Observation 702fa112-14d5-4b49-864d-9a211bb73617 · outbound

This paper cites Twenty dry Martinis for the Unitary Almost Mathieu Operator.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Twenty dry Martinis for the Unitary Almost Mathieu Operator

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:46:25.439245Z

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Observation 911bb74d-4d21-485a-874c-afcc8d90d0b2 · outbound

This paper cites Absence of Bound States for Quantum Walks and CMV Matrices via Reflections.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Absence of Bound States for Quantum Walks and CMV Matrices via Reflections

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:46:25.424290Z

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Observation 65c15f00-a136-4c1c-b504-d6ce7054ccd3 · outbound

This paper cites Mobility edges in pseudo-unitary quasiperiodic quantum walks.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Mobility edges in pseudo-unitary quasiperiodic quantum walks

Reference 44

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:46:25.408228Z

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Observation aa1fb435-cae7-42fd-b73e-f3d63b9f4fdf · outbound

This paper cites Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-15T17:46:25.164584Z

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Observation f0f25cfd-e7bd-44cd-a959-9fe0a92e07f2 · outbound

This paper cites Observation of non-Bloch parity-time symmetry and exceptional points.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Observation of non-Bloch parity-time symmetry and exceptional points

Reference 46

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:46:25.380731Z

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Observation 174aa98d-f569-446f-89a3-98e2d6e8418b · outbound

This paper cites Singular continuous Cantor spectrum for magnetic quantum walks.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Singular continuous Cantor spectrum for magnetic quantum walks

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-15T17:46:25.172062Z

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Observation 5d241640-9960-4275-8df6-a6f17dded2b2 · outbound

This paper cites Exact mobility edges for almost-periodic CMV matrices via gauge symmetries.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Exact mobility edges for almost-periodic CMV matrices via gauge symmetries

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-15T17:46:25.175712Z

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Observation 5fcca039-17d5-48d9-8cfe-f3faa2c7129f · outbound

This paper cites an unresolved cited work.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Unresolved cited work

Reference 49

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:46:25.776909Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 66037a84-4720-460d-a152-e01ceb63061a · outbound

This paper cites Edge states and topological invariants of non-Hermitian systems.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Edge states and topological invariants of non-Hermitian systems

Reference 50

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:46:25.343108Z

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 8d347730-5219-4e9d-ac2c-f377e24661fe · outbound

This paper cites Non-Hermitian Topological Invariants in Real Space.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Non-Hermitian Topological Invariants in Real Space

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-15T17:46:25.187204Z

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Observation 89f29c59-ec4c-49e8-bb08-b7de3ecdead4 · outbound

This paper cites Hybrid higher-order skin-topological modes in non-reciprocal systems.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Hybrid higher-order skin-topological modes in non-reciprocal systems

Reference 52

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:46:25.314684Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 070713a0-5c53-48aa-926a-130e12340818 · outbound

This paper cites Exact PT-Symmetry Is Equivalent to Hermiticity.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Exact PT-Symmetry Is Equivalent to Hermiticity

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-15T17:46:25.195131Z

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Observation 7dd40196-fada-4574-9df1-cde36bc6c659 · outbound

This paper cites Pseudo-Unitary Operators and Pseudo-Unitary Quantum Dynamics.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Pseudo-Unitary Operators and Pseudo-Unitary Quantum Dynamics

Reference 54

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Observation cb725685-d254-4c83-9b8f-03f8a71d1a58 · outbound

This paper cites Localization transitions in non-Hermitian quantum mechanics.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Localization transitions in non-Hermitian quantum mechanics

Reference 55

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Observation 0c91612d-45fd-4898-8f4d-8f85ae273cb1 · outbound

This paper cites Vortex Pinning and Non-Hermitian Quantum Mechanics.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Vortex Pinning and Non-Hermitian Quantum Mechanics

Reference 56

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Observation 2cff88df-cd86-4d67-afbd-d153097de8ba · outbound

This paper cites Localization transition, spectrum structure and winding numbers for one-dimensional non-Hermitian quasicrystals.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Localization transition, spectrum structure and winding numbers for one-dimensional non-Hermitian quasicrystals

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-15T17:46:25.213352Z

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Observation 755814c7-f5d1-4a78-9805-df38227705ec · outbound

This paper cites Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential

Reference 58

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Observation 79132d9b-e04c-4ef0-9fb0-fbb3f3f44da8 · outbound

This paper cites 11 The phase transition is thus expected at λ2 = ( 2e2πηλ1(1+λ′ 1) 2(1+λ′ 1)+λ2 1(e4πη−1), 0≤λ1≤ 2e2π|η| 1+e4π|η|, 1, 2e2π|η| 1+e4π|η| <λ 1≤ 1.

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models 11 The phase transition is thus expected at λ2 = ( 2e2πηλ1(1+λ′ 1) 2(1+λ′ 1)+λ2 1(e4πη−1), 0≤λ1≤ 2e2π|η| 1+e4π|η|, 1, 2e2π|η| 1+e4π|η| <λ 1≤ 1

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:46:25.764899Z

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