Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems | Paper Citation Record

Observation eed6c699-f0dc-4919-a403-354788c64d5e · outbound

This paper cites Localization at weak disorder: some elementary bounds.Reviews in mathematical physics, 6(05a):1163–1182, 1994.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Localization at weak disorder: some elementary bounds.Reviews in mathematical physics, 6(05a):1163–1182, 1994

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This paper cites an unresolved cited work.

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Observation ea96624f-70e0-4f47-89b6-19cd89974b2a · outbound

This paper cites Localization at large disorder and at extreme energies: An elementary derivations.Communications in Mathematical Physics, 157(2):245–278, 1993.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Localization at large disorder and at extreme energies: An elementary derivations.Communications in Mathematical Physics, 157(2):245–278, 1993

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Observation e19b430e-e40d-403b-a7e2-fc2832008ecc · outbound

This paper cites Schenker, Roland M.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Schenker, Roland M

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Observation 8b760454-bd3e-4c47-9989-189e7ec337e5 · outbound

This paper cites Mathematical foundations of the non-hermitian skin effect.Archive for Rational Mechanics and Analysis, 248(3):33, 2024.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Mathematical foundations of the non-hermitian skin effect.Archive for Rational Mechanics and Analysis, 248(3):33, 2024

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Observation 12b04ab2-0554-4027-9576-a5a7da50e921 · outbound

This paper cites Exponentially localized interface eigenmodes in finite chains of resonators.Stud.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Exponentially localized interface eigenmodes in finite chains of resonators.Stud

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Observation 19d5e6ec-a4d7-4854-92f9-7d4253b26977 · outbound

This paper cites Applications of chebyshev polynomials and toeplitz theory to topological metamaterials.Reviews in Physics, 13:Paper No.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Applications of chebyshev polynomials and toeplitz theory to topological metamaterials.Reviews in Physics, 13:Paper No

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Observation dc687bdf-9100-497a-ba83-79be15ab11c4 · outbound

This paper cites Robust edge modes in dislocated systems of subwavelength resonators.J.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Robust edge modes in dislocated systems of subwavelength resonators.J

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Observation ef01ff93-197b-4f69-b359-15042d63f95e · outbound

This paper cites Anderson localization in the subwavelength regime.Comm.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Anderson localization in the subwavelength regime.Comm

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Observation dfd80701-43c9-41c8-bae4-eb7a5c80e34e · outbound

This paper cites Topologically protected edge modes in one-dimensional chains of subwavelength resonators.J.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Topologically protected edge modes in one-dimensional chains of subwavelength resonators.J

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Observation c09a16af-91b1-4d4a-8a5f-6cc7ad5364df · outbound

This paper cites Topological phenomena in honeycomb Floquet metamaterials.Math.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Topological phenomena in honeycomb Floquet metamaterials.Math

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Observation eb982f0a-d0b0-4e23-9c88-34676c672c66 · outbound

This paper cites Topological invariants of edge states for periodic two-dimensional models.Mathematical Physics, Analysis and Geometry, 16(2):137–170, 2013.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Topological invariants of edge states for periodic two-dimensional models.Mathematical Physics, Analysis and Geometry, 16(2):137–170, 2013

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Observation 8cdd8aa0-37d9-451b-9366-1d918a30317f · outbound

This paper cites Avron, Ruedi Seiler, and Barry Simon.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Avron, Ruedi Seiler, and Barry Simon

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Observation 20b8b5f5-de48-4eae-84d7-a2731a46f5ef · outbound

This paper cites Continuous bulk and interface description of topological insulators.Journal of Mathemat- ical Physics, 60(8), 2019.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Continuous bulk and interface description of topological insulators.Journal of Mathemat- ical Physics, 60(8), 2019

Reference 14

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Observation d85a09f2-8b35-4055-a31e-6a351b9efefa · outbound

This paper cites Topological charge conservation for continuous insulators.Journal of Mathematical Physics, 64(3), 2023.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Topological charge conservation for continuous insulators.Journal of Mathematical Physics, 64(3), 2023

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Observation b6f260e8-ee62-4e08-b8bc-65e59e382ca4 · outbound

This paper cites Continuous topological insulators classification and bulk edge correspondence.arXiv preprint arXiv:2412.00919, 2024.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Continuous topological insulators classification and bulk edge correspondence.arXiv preprint arXiv:2412.00919, 2024

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Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Unresolved cited work

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Observation c0eeef7e-a3a5-45af-8a45-78072dd1f447 · outbound

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Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Unresolved cited work

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Observation 6e7fed8e-7096-483a-b4c9-117e8eae8804 · outbound

This paper cites Localization for gapped Dirac hamiltonians with random perturbations: Application to graphene antidot lattices.Documenta Mathematica, 24:65–93, 2019.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Localization for gapped Dirac hamiltonians with random perturbations: Application to graphene antidot lattices.Documenta Mathematica, 24:65–93, 2019

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Observation 25a31708-9a02-4242-adf6-eabeffa17bb9 · outbound

This paper cites Bellissard, A.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Bellissard, A

Reference 20

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Observation eaa174d9-445b-49b5-b14b-589f96cbb404 · outbound

This paper cites Andrei Bernevig and Taylor L.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Andrei Bernevig and Taylor L

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Observation ccd49036-3dbf-4eda-bd6d-5abdf2b2c801 · outbound

This paper cites Schenker.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Schenker

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Observation 6916ff34-da99-422b-9cd8-f9ad88d7e6aa · outbound

This paper cites The k-theoretic bulk–edge correspondence for topological insulators.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems The k-theoretic bulk–edge correspondence for topological insulators

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Observation 0d2982c6-9aea-4954-9fa3-e31fc2a4e66c · outbound

This paper cites The spectral flow of a family of toeplitz operators, 2018.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems The spectral flow of a family of toeplitz operators, 2018

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Observation dc4fdc1a-6108-419d-bd98-ec8e6f65e349 · outbound

This paper cites Anderson localization for Bernoulli and other singular potentials.Communications in Mathematical Physics, 108(1):41–66, 1987.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Anderson localization for Bernoulli and other singular potentials.Communications in Mathematical Physics, 108(1):41–66, 1987

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Observation 88afd75c-985d-44ca-826d-4fb40b5a6b41 · outbound

This paper cites Anderson localization in discrete random displacements models.Journal of Statistical Physics, 190(1):5, 2023.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Anderson localization in discrete random displacements models.Journal of Statistical Physics, 190(1):5, 2023

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Observation 837b298c-90f6-4d80-bbf6-4d60eb59974c · outbound

This paper cites Combes and Peter D.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Combes and Peter D

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Observation b4bea064-6a57-4c2b-ba90-1994040269d4 · outbound

This paper cites Cornean, Massimo Moscolari, and Stefan Teufel.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Cornean, Massimo Moscolari, and Stefan Teufel

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Observation c42144b2-77e9-4b59-9f62-a570695c9ca9 · outbound

This paper cites Localization near the edge for the Anderson Bernoulli model on the two dimensional lattice.Inventiones mathematicae, 219(2):467–506, 2020.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Localization near the edge for the Anderson Bernoulli model on the two dimensional lattice.Inventiones mathematicae, 219(2):467–506, 2020

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Observation 7b805b74-e1ae-44aa-bd93-13d563cf08c3 · outbound

This paper cites Microlocal analysis of the bulk-edge correspondence.Communications in Mathematical Physics, 383:2069–2112, 2021.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Microlocal analysis of the bulk-edge correspondence.Communications in Mathematical Physics, 383:2069–2112, 2021

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Observation de1d7240-a017-431b-a31a-b28d2848f078 · outbound

This paper cites The bulk-edge correspondence for curved interfaces, 2024.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems The bulk-edge correspondence for curved interfaces, 2024

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Observation 88f4013f-7346-4917-8c03-fe2c2dd7eccd · outbound

This paper cites Graf, and Jeffrey H.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Graf, and Jeffrey H

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Observation 78734b94-942a-4083-9b1d-38f1d40b4d39 · outbound

This paper cites Bulk-edge correspondence for two-dimensional topological insu- lators.Communications in Mathematical Physics, 324:851–895, 2013.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Bulk-edge correspondence for two-dimensional topological insu- lators.Communications in Mathematical Physics, 324:851–895, 2013

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Observation ef0d5eff-22c5-4304-97a3-61350f0f6352 · outbound

This paper cites The bulk-edge correspondence for disordered chiral chains.Com- munications in Mathematical Physics, 363:829–846, 2018.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems The bulk-edge correspondence for disordered chiral chains.Com- munications in Mathematical Physics, 363:829–846, 2018

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Observation b3ee9da6-6e05-4a2e-8caf-88d6e2990f2c · outbound

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Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Unresolved cited work

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Observation 6f2aae4d-8138-49f2-86f5-7a4d66daf514 · outbound

This paper cites Chern number and edge states in the integer quantum Hall effect.Phys.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Chern number and edge states in the integer quantum Hall effect.Phys

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Observation 306d2ba1-dc6c-4145-b01a-a48d241e35bc · outbound

This paper cites Estimating bulk and edge topological indices in finite open chiral chains.J.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Estimating bulk and edge topological indices in finite open chiral chains.J

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Observation edc336a1-d78a-4912-b3ba-dda723ab3acf · outbound

This paper cites Springer Science & Business Media, 2013.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Springer Science & Business Media, 2013

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Observation 478cfbe3-427b-4bb4-bdeb-50fe096c3858 · outbound

This paper cites Kellendonk, T.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Kellendonk, T

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Observation 4f0089db-f9e2-469b-8e9f-e89e1854662f · outbound

This paper cites Boundary maps for C*-crossed products with an ap- plication to the quantum Hall effect.Communications in Mathematical Physics, 249:611–637, 2004.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Boundary maps for C*-crossed products with an ap- plication to the quantum Hall effect.Communications in Mathematical Physics, 249:611–637, 2004

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Observation e4f434d3-1d20-4883-b0fb-8badd8b860dd · outbound

This paper cites Quantization of edge currents for continuous magnetic operators.Journal of Functional Analysis, 209:388–413, 06 2004.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Quantization of edge currents for continuous magnetic operators.Journal of Functional Analysis, 209:388–413, 06 2004

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Observation 2f9f7b98-7ba0-420e-946d-8f27e3acec9d · outbound

This paper cites An Invitation to Random Schroedinger operators.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems An Invitation to Random Schroedinger operators

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Observation 856203cb-f233-4db9-8a8f-37c9e3b36273 · outbound

This paper cites Anderson localization for random Schr¨ odinger oper- ators with long range interactions.Communications in mathematical physics, 195(3):495–507, 1998.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Anderson localization for random Schr¨ odinger oper- ators with long range interactions.Communications in mathematical physics, 195(3):495–507, 1998

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Observation e661fd80-14eb-43a0-ab78-f2e61c69a0fc · outbound

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Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Unresolved cited work

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Observation a349ddd5-fb9d-46d9-aa9a-b9307064a7d4 · outbound

This paper cites A note on Anderson localization for the random hopping model.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems A note on Anderson localization for the random hopping model

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Observation bf5e7418-ebaf-4ed3-a25b-b0707d59ddd2 · outbound

This paper cites Anderson localization for 2d discrete Schr¨ odinger operators with random magnetic fields.Annales Henri Poincar´ e, 4(4):795–811, 2003.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Anderson localization for 2d discrete Schr¨ odinger operators with random magnetic fields.Annales Henri Poincar´ e, 4(4):795–811, 2003

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Observation fbd33d1c-f87a-4c41-8ea0-998af81d10a9 · outbound

This paper cites Controlled topological phases and bulk-edge correspondence.Communications in Math- ematical Physics, 349(2):493–525, 2017.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Controlled topological phases and bulk-edge correspondence.Communications in Math- ematical Physics, 349(2):493–525, 2017

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Observation 4b1414c4-c511-4020-93c5-3eb49781eab3 · outbound

This paper cites Anderson–Bernoulli localization on the three-dimensional lattice and discrete unique continuation principle.Duke mathematical journal, 171(2):327–415, 2022.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Anderson–Bernoulli localization on the three-dimensional lattice and discrete unique continuation principle.Duke mathematical journal, 171(2):327–415, 2022

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Observation a23b1379-4ce3-4b41-b582-ff2c4db6f072 · outbound

This paper cites Mathematical theory for topological photonic materials in one dimension.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Mathematical theory for topological photonic materials in one dimension

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Observation 5fe0b934-e704-4c10-a639-04e0b9c1d7eb · outbound

This paper cites Cobordism invariance of topological edge-following states.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Cobordism invariance of topological edge-following states

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Observation 18de0b0c-4d5d-43f6-8fcd-6e240d1dc498 · outbound

This paper cites 2-dimensional localization of acoustic waves in random perturbation of periodic media.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems 2-dimensional localization of acoustic waves in random perturbation of periodic media

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Observation c895dbed-d7d9-48dc-abc4-bf20279eb0d7 · outbound

This paper cites Price, Alberto Amo, Nathan Goldman, Mohammad Hafezi, Ling Lu, Mikael C.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Price, Alberto Amo, Nathan Goldman, Mohammad Hafezi, Ling Lu, Mikael C

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Observation 511f6b4b-5b1c-4c16-b777-5ce76c40173e · outbound

This paper cites Prado, C´ esar R.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Prado, C´ esar R

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Observation 5de3697d-9392-4d1b-8007-a7e05814dd11 · outbound

This paper cites Prado, C´ esar R.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Prado, C´ esar R

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Observation 32b1f94b-af01-4bc1-b2e7-02bf9dcfdfd7 · outbound

This paper cites Bulk and boundary invariants for complex topological insula- tors.K, 2016.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Bulk and boundary invariants for complex topological insula- tors.K, 2016

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Observation 089a7f6f-8954-4f1d-9af0-5e3786e1e397 · outbound

This paper cites Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors.Physical Review B—Condensed Matter and Materials Physics, 74(8):085308, 2006.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors.Physical Review B—Condensed Matter and Materials Physics, 74(8):085308, 2006

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Observation d84f879c-0195-4a21-88ac-a390d978297f · outbound

This paper cites Topological insulators and superconductors.Rev.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Topological insulators and superconductors.Rev

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Observation 80f18cff-6937-4a2f-a6b9-d826aa08da5c · outbound

This paper cites Bulk-edge correspondence in finite photonic structure.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Bulk-edge correspondence in finite photonic structure

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Observation 575a3c1b-c26c-44eb-9c09-3e50a799f7a9 · outbound

This paper cites Generalized bulk-interface correspondence for non-quantized spin transport.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Generalized bulk-interface correspondence for non-quantized spin transport

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Observation a114a86d-34be-410d-a662-dfd053e92b79 · outbound

This paper cites Topological photonic alloy.Physical Review Letters, 132(22):223802, 2024.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Topological photonic alloy.Physical Review Letters, 132(22):223802, 2024

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Observation 7324c8a3-5084-47f4-8b64-5f8695cdec40 · outbound

This paper cites Richter and H.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Richter and H

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Observation 1deaf98b-7f1c-4c2f-9f0e-22f9758f8ce7 · outbound

This paper cites Band edge localization beyond regular Floquet eigenvalues.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Band edge localization beyond regular Floquet eigenvalues

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Observation 71a44640-1664-4ada-b391-be43bc2a5e08 · outbound

This paper cites Weinstein.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Weinstein

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Observation 2382650a-2246-453e-91d1-7cf47b0330c6 · outbound

This paper cites Silveirinha.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Silveirinha

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Observation 6ed1d970-bc84-48ba-b275-a558bbe3beab · outbound

This paper cites Nonlinearity- induced topological phase transition characterized by the nonlinear Chern number.Nature Physics, 20(7):1164–1170, 2024.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Nonlinearity- induced topological phase transition characterized by the nonlinear Chern number.Nature Physics, 20(7):1164–1170, 2024

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Observation 3b0f43ee-bcc9-4b18-abc1-5d53cd2b228f · outbound

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Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Springer Science & Business Media, 2001

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Observation 037e892d-0794-4a90-a2cb-280c2e2d4606 · outbound

This paper cites An introduction to the mathematics of Anderson localization.Entropy and the quantum II.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems An introduction to the mathematics of Anderson localization.Entropy and the quantum II

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Observation f545b9cf-80af-417c-b719-4f11423161cc · outbound

This paper cites Equality of bulk and edge Hall conductances for continuous magnetic random Schr¨ odinger operators, 2014.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Equality of bulk and edge Hall conductances for continuous magnetic random Schr¨ odinger operators, 2014

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Observation 4460cb5f-9314-4b6f-ac93-4189d7fa9730 · outbound

This paper cites Bulk-interface correspondences for one-dimensional topological ma- terials with inversion symmetry.Proceedings of the Royal Society A, 479(2270):20220675, 2023.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Bulk-interface correspondences for one-dimensional topological ma- terials with inversion symmetry.Proceedings of the Royal Society A, 479(2270):20220675, 2023

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Observation 0e8eb8c2-9642-4948-bc3e-117a999a08e7 · outbound

This paper cites Veseli´ c.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Veseli´ c

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Observation c6159634-7ae2-42c3-bb12-47f6b387a3df · outbound

This paper cites 40 years of the quantum Hall effect.Nature Reviews Physics, 2(8):397–401, Aug 2020.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems 40 years of the quantum Hall effect.Nature Reviews Physics, 2(8):397–401, Aug 2020

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Observation 2ebd1e93-405f-4a68-9ad4-2de5439940c0 · outbound

This paper cites Joannopoulos, and Marin Soljaˇ ci´ c.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Joannopoulos, and Marin Soljaˇ ci´ c

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Observation 59744b82-56e8-477a-9993-f1904a11f32c · outbound

This paper cites Zworski.Semiclassical Analysis.

Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Zworski.Semiclassical Analysis

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