Entangled end states with fractionalized spin projection in a time-reversal-invariant topological superconducting wire

Autores
Aligia, Armando Angel; Arrachea, Liliana del Carmen
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the ground state and low-energy subgap excitations of a finite wire of a time-reversalinvariant topological superconductor (TRITOPS) with spin-orbit coupling. We solve the problem analytically for a long chain of a specific one-dimensional lattice model in the electron-hole symmetric configuration and numerically for other cases of the same model. We present results for the spin density of excitations in long chains with an odd number of particles. The total spin projection along the axis of the spin-orbit coupling Sz = ±1/2 is distributed with fractions ±1/4 localized at both ends, and shows even-odd alternation along the sites of the chain. We calculate the localization length of these excitations and find that it can be well approximated by a simple analytical expression. We show that the energy E of the lowest subgap excitations of the finite chain defines tunneling and entanglement between end states. We discuss the effect of a Zeeman coupling ∆Z on one of the ends of the chain only. For ∆Z < E, the energy difference of excitations with opposite spin orientation is ∆Z /2, consistent with a spin projection ±1/4. We argue that these physical features are not model dependent and can be experimentally observed in TRITOPS wires under appropriate conditions.
Fil: Aligia, Armando Angel. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro | Universidad Nacional de Cuyo. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Arrachea, Liliana del Carmen. Universidad Nacional de San Martín; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Topological
Superconductivity
Majorana
Excitations
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/177794
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Entangled end states with fractionalized spin projection in a time-reversal-invariant topological superconducting wireAligia, Armando AngelArrachea, Liliana del CarmenTopologicalSuperconductivityMajoranaExcitationshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the ground state and low-energy subgap excitations of a finite wire of a time-reversalinvariant topological superconductor (TRITOPS) with spin-orbit coupling. We solve the problem analytically for a long chain of a specific one-dimensional lattice model in the electron-hole symmetric configuration and numerically for other cases of the same model. We present results for the spin density of excitations in long chains with an odd number of particles. The total spin projection along the axis of the spin-orbit coupling Sz = ±1/2 is distributed with fractions ±1/4 localized at both ends, and shows even-odd alternation along the sites of the chain. We calculate the localization length of these excitations and find that it can be well approximated by a simple analytical expression. We show that the energy E of the lowest subgap excitations of the finite chain defines tunneling and entanglement between end states. We discuss the effect of a Zeeman coupling ∆Z on one of the ends of the chain only. For ∆Z < E, the energy difference of excitations with opposite spin orientation is ∆Z /2, consistent with a spin projection ±1/4. We argue that these physical features are not model dependent and can be experimentally observed in TRITOPS wires under appropriate conditions.Fil: Aligia, Armando Angel. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro | Universidad Nacional de Cuyo. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Arrachea, Liliana del Carmen. Universidad Nacional de San Martín; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaAmerican Physical Society2018-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/177794Aligia, Armando Angel; Arrachea, Liliana del Carmen; Entangled end states with fractionalized spin projection in a time-reversal-invariant topological superconducting wire; American Physical Society; Physical Review B; 98; 17; 11-2018; 1-152469-99502469-9969CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.98.174507info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:57:14Zoai:ri.conicet.gov.ar:11336/177794instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:57:15.02CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Entangled end states with fractionalized spin projection in a time-reversal-invariant topological superconducting wire
title Entangled end states with fractionalized spin projection in a time-reversal-invariant topological superconducting wire
spellingShingle Entangled end states with fractionalized spin projection in a time-reversal-invariant topological superconducting wire
Aligia, Armando Angel
Topological
Superconductivity
Majorana
Excitations
title_short Entangled end states with fractionalized spin projection in a time-reversal-invariant topological superconducting wire
title_full Entangled end states with fractionalized spin projection in a time-reversal-invariant topological superconducting wire
title_fullStr Entangled end states with fractionalized spin projection in a time-reversal-invariant topological superconducting wire
title_full_unstemmed Entangled end states with fractionalized spin projection in a time-reversal-invariant topological superconducting wire
title_sort Entangled end states with fractionalized spin projection in a time-reversal-invariant topological superconducting wire
dc.creator.none.fl_str_mv Aligia, Armando Angel
Arrachea, Liliana del Carmen
author Aligia, Armando Angel
author_facet Aligia, Armando Angel
Arrachea, Liliana del Carmen
author_role author
author2 Arrachea, Liliana del Carmen
author2_role author
dc.subject.none.fl_str_mv Topological
Superconductivity
Majorana
Excitations
topic Topological
Superconductivity
Majorana
Excitations
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study the ground state and low-energy subgap excitations of a finite wire of a time-reversalinvariant topological superconductor (TRITOPS) with spin-orbit coupling. We solve the problem analytically for a long chain of a specific one-dimensional lattice model in the electron-hole symmetric configuration and numerically for other cases of the same model. We present results for the spin density of excitations in long chains with an odd number of particles. The total spin projection along the axis of the spin-orbit coupling Sz = ±1/2 is distributed with fractions ±1/4 localized at both ends, and shows even-odd alternation along the sites of the chain. We calculate the localization length of these excitations and find that it can be well approximated by a simple analytical expression. We show that the energy E of the lowest subgap excitations of the finite chain defines tunneling and entanglement between end states. We discuss the effect of a Zeeman coupling ∆Z on one of the ends of the chain only. For ∆Z < E, the energy difference of excitations with opposite spin orientation is ∆Z /2, consistent with a spin projection ±1/4. We argue that these physical features are not model dependent and can be experimentally observed in TRITOPS wires under appropriate conditions.
Fil: Aligia, Armando Angel. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro | Universidad Nacional de Cuyo. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Arrachea, Liliana del Carmen. Universidad Nacional de San Martín; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We study the ground state and low-energy subgap excitations of a finite wire of a time-reversalinvariant topological superconductor (TRITOPS) with spin-orbit coupling. We solve the problem analytically for a long chain of a specific one-dimensional lattice model in the electron-hole symmetric configuration and numerically for other cases of the same model. We present results for the spin density of excitations in long chains with an odd number of particles. The total spin projection along the axis of the spin-orbit coupling Sz = ±1/2 is distributed with fractions ±1/4 localized at both ends, and shows even-odd alternation along the sites of the chain. We calculate the localization length of these excitations and find that it can be well approximated by a simple analytical expression. We show that the energy E of the lowest subgap excitations of the finite chain defines tunneling and entanglement between end states. We discuss the effect of a Zeeman coupling ∆Z on one of the ends of the chain only. For ∆Z < E, the energy difference of excitations with opposite spin orientation is ∆Z /2, consistent with a spin projection ±1/4. We argue that these physical features are not model dependent and can be experimentally observed in TRITOPS wires under appropriate conditions.
publishDate 2018
dc.date.none.fl_str_mv 2018-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/177794
Aligia, Armando Angel; Arrachea, Liliana del Carmen; Entangled end states with fractionalized spin projection in a time-reversal-invariant topological superconducting wire; American Physical Society; Physical Review B; 98; 17; 11-2018; 1-15
2469-9950
2469-9969
CONICET Digital
CONICET
url http://hdl.handle.net/11336/177794
identifier_str_mv Aligia, Armando Angel; Arrachea, Liliana del Carmen; Entangled end states with fractionalized spin projection in a time-reversal-invariant topological superconducting wire; American Physical Society; Physical Review B; 98; 17; 11-2018; 1-15
2469-9950
2469-9969
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.98.174507
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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