Zero momentum topological insulator in 2D semi-Dirac materials

Semi-Dirac materials in 2D present an anisotropic dispersion relation, linear along one direction and quadratic along the perpendicular one. This study explores the topological properties and the influence of disorder in a 2D semi-Dirac Hamiltonian. Energy-dependent edge states appear only in one di...

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Main Authors: Marta García Olmos, Yuriko Baba, Mario Amado, Rafael A Molina
Format: Article
Language:English
Published: IOP Publishing 2024-01-01
Series:JPhys Materials
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Online Access:https://doi.org/10.1088/2515-7639/ad8378
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author Marta García Olmos
Yuriko Baba
Mario Amado
Rafael A Molina
author_facet Marta García Olmos
Yuriko Baba
Mario Amado
Rafael A Molina
author_sort Marta García Olmos
collection DOAJ
description Semi-Dirac materials in 2D present an anisotropic dispersion relation, linear along one direction and quadratic along the perpendicular one. This study explores the topological properties and the influence of disorder in a 2D semi-Dirac Hamiltonian. Energy-dependent edge states appear only in one direction, localized on either the upper or lower edge of the nanoribbon determined by their particle or hole character. Their topological protection can be rigorously founded on the Zak phase of the one-dimensional reduction of the semi-Dirac Hamiltonian, that depends parametrically on one of the momenta. In general, only a single value of the momentum, corresponding to a zero energy mode, is topologically protected. We explore the dependence on the disorder of the edge states and the robustness of the topological protection in these materials. We also explore the consequences of the topological protection of the zero-momentum state in the transport properties for a two-terminal configuration.
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institution OA Journals
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publisher IOP Publishing
record_format Article
series JPhys Materials
spelling doaj-art-71a9a532010447ceaf689af2e053d3072025-08-20T02:16:21ZengIOP PublishingJPhys Materials2515-76392024-01-017404500810.1088/2515-7639/ad8378Zero momentum topological insulator in 2D semi-Dirac materialsMarta García Olmos0https://orcid.org/0000-0001-7910-0423Yuriko Baba1https://orcid.org/0000-0003-0647-3477Mario Amado2https://orcid.org/0000-0002-3296-5064Rafael A Molina3https://orcid.org/0000-0001-5728-0734Nanotechnology Group, USAL-Nanolab and IUFFyM, University of Salamanca Plaza de la Merced , Edificio Trilingüe 37008, Spain; Instituto de Estructura de la Materia IEM-CSIC , Serrano 123, E-28006 Madrid, SpainDepartment of Theoretical Condensed Matter Physics, Condensed Matter Physics Center (IFIMAC) Universidad Autónoma de Madrid , E-28049 Madrid, Spain; GISC, Departamento de Física de Materiales, Universidad Complutense , E-28040 Madrid, SpainNanotechnology Group, USAL-Nanolab and IUFFyM, University of Salamanca Plaza de la Merced , Edificio Trilingüe 37008, SpainInstituto de Estructura de la Materia IEM-CSIC , Serrano 123, E-28006 Madrid, SpainSemi-Dirac materials in 2D present an anisotropic dispersion relation, linear along one direction and quadratic along the perpendicular one. This study explores the topological properties and the influence of disorder in a 2D semi-Dirac Hamiltonian. Energy-dependent edge states appear only in one direction, localized on either the upper or lower edge of the nanoribbon determined by their particle or hole character. Their topological protection can be rigorously founded on the Zak phase of the one-dimensional reduction of the semi-Dirac Hamiltonian, that depends parametrically on one of the momenta. In general, only a single value of the momentum, corresponding to a zero energy mode, is topologically protected. We explore the dependence on the disorder of the edge states and the robustness of the topological protection in these materials. We also explore the consequences of the topological protection of the zero-momentum state in the transport properties for a two-terminal configuration.https://doi.org/10.1088/2515-7639/ad8378topological materialssemi-Dirac materialsedge states2D materials
spellingShingle Marta García Olmos
Yuriko Baba
Mario Amado
Rafael A Molina
Zero momentum topological insulator in 2D semi-Dirac materials
JPhys Materials
topological materials
semi-Dirac materials
edge states
2D materials
title Zero momentum topological insulator in 2D semi-Dirac materials
title_full Zero momentum topological insulator in 2D semi-Dirac materials
title_fullStr Zero momentum topological insulator in 2D semi-Dirac materials
title_full_unstemmed Zero momentum topological insulator in 2D semi-Dirac materials
title_short Zero momentum topological insulator in 2D semi-Dirac materials
title_sort zero momentum topological insulator in 2d semi dirac materials
topic topological materials
semi-Dirac materials
edge states
2D materials
url https://doi.org/10.1088/2515-7639/ad8378
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AT yurikobaba zeromomentumtopologicalinsulatorin2dsemidiracmaterials
AT marioamado zeromomentumtopologicalinsulatorin2dsemidiracmaterials
AT rafaelamolina zeromomentumtopologicalinsulatorin2dsemidiracmaterials