Tunneling conductance of long-range Coulomb interacting Luttinger liquid

The theoretical model of the short-range interacting Luttinger liquid predicts a power-law scaling of the density of states and the momentum distribution function around the Fermi surface, which can be readily tested through tunneling experiments. However, some physical systems have long-range inter...

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Autores: Vu, DinhDuy, Iucci, Carlos Aníbal, Sarma, Sankar Das
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:Argentina
Institución:Universidad Nacional de La Plata
Repositorio:SEDICI (UNLP)
Idioma:inglés
OAI Identifier:oai:sedici.unlp.edu.ar:10915/124662
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/124662
Access Level:acceso abierto
Palabra clave:Física
Quantum tunnelling
Physics
Electron
Coulomb's law
Luttinger liquid
Fermi surface
Condensed matter physics
Density of states
Fermi gas
Coulomb
Voltage
Exponent
Range (particle radiation)
Tunneling conductance
Power law
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spelling Tunneling conductance of long-range Coulomb interacting Luttinger liquidVu, DinhDuyIucci, Carlos AníbalSarma, Sankar DasFísicaQuantum tunnellingPhysicsElectronCoulomb's lawLuttinger liquidFermi surfaceCondensed matter physicsDensity of statesFermi gasCoulombVoltageExponentRange (particle radiation)Tunneling conductancePower lawThe theoretical model of the short-range interacting Luttinger liquid predicts a power-law scaling of the density of states and the momentum distribution function around the Fermi surface, which can be readily tested through tunneling experiments. However, some physical systems have long-range interaction, most notably the Coulomb interaction, leading to significantly different behaviors from the short-range interacting system. In this paper, we revisit the tunneling theory for the one-dimensional electrons interacting via the long-range Coulomb force. We show that even though in a small dynamic range of temperature and bias voltage, the tunneling conductance may appear to have a power-law decay similar to short-range interacting systems, the effective exponent is scale-dependent and slowly increases with decreasing energy. This factor may lead to the sample-to-sample variation in the measured tunneling exponents. We also discuss the crossover to a free Fermi gas at high energy and the effect of the finite size. Our work demonstrates that experimental tunneling measurements in one-dimensional electron systems should be interpreted with great caution when the system is a Coulomb Luttinger liquid.Instituto de Física La Plata2020info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/124662enginfo:eu-repo/semantics/altIdentifier/issn/2643-1564info:eu-repo/semantics/altIdentifier/arxiv/1912.10379info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevresearch.2.023246info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2024-05-08T13:08:04Zoai:sedici.unlp.edu.ar:10915/124662Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292024-05-08 13:08:05.045SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Tunneling conductance of long-range Coulomb interacting Luttinger liquid
title Tunneling conductance of long-range Coulomb interacting Luttinger liquid
spellingShingle Tunneling conductance of long-range Coulomb interacting Luttinger liquid
Vu, DinhDuy
Física
Quantum tunnelling
Physics
Electron
Coulomb's law
Luttinger liquid
Fermi surface
Condensed matter physics
Density of states
Fermi gas
Coulomb
Voltage
Exponent
Range (particle radiation)
Tunneling conductance
Power law
title_short Tunneling conductance of long-range Coulomb interacting Luttinger liquid
title_full Tunneling conductance of long-range Coulomb interacting Luttinger liquid
title_fullStr Tunneling conductance of long-range Coulomb interacting Luttinger liquid
title_full_unstemmed Tunneling conductance of long-range Coulomb interacting Luttinger liquid
title_sort Tunneling conductance of long-range Coulomb interacting Luttinger liquid
dc.creator.none.fl_str_mv Vu, DinhDuy
Iucci, Carlos Aníbal
Sarma, Sankar Das
author Vu, DinhDuy
author_facet Vu, DinhDuy
Iucci, Carlos Aníbal
Sarma, Sankar Das
author_role author
author2 Iucci, Carlos Aníbal
Sarma, Sankar Das
author2_role author
author
dc.subject.none.fl_str_mv Física
Quantum tunnelling
Physics
Electron
Coulomb's law
Luttinger liquid
Fermi surface
Condensed matter physics
Density of states
Fermi gas
Coulomb
Voltage
Exponent
Range (particle radiation)
Tunneling conductance
Power law
topic Física
Quantum tunnelling
Physics
Electron
Coulomb's law
Luttinger liquid
Fermi surface
Condensed matter physics
Density of states
Fermi gas
Coulomb
Voltage
Exponent
Range (particle radiation)
Tunneling conductance
Power law
description The theoretical model of the short-range interacting Luttinger liquid predicts a power-law scaling of the density of states and the momentum distribution function around the Fermi surface, which can be readily tested through tunneling experiments. However, some physical systems have long-range interaction, most notably the Coulomb interaction, leading to significantly different behaviors from the short-range interacting system. In this paper, we revisit the tunneling theory for the one-dimensional electrons interacting via the long-range Coulomb force. We show that even though in a small dynamic range of temperature and bias voltage, the tunneling conductance may appear to have a power-law decay similar to short-range interacting systems, the effective exponent is scale-dependent and slowly increases with decreasing energy. This factor may lead to the sample-to-sample variation in the measured tunneling exponents. We also discuss the crossover to a free Fermi gas at high energy and the effect of the finite size. Our work demonstrates that experimental tunneling measurements in one-dimensional electron systems should be interpreted with great caution when the system is a Coulomb Luttinger liquid.
publishDate 2020
dc.date.none.fl_str_mv 2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/124662
url http://sedici.unlp.edu.ar/handle/10915/124662
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/2643-1564
info:eu-repo/semantics/altIdentifier/arxiv/1912.10379
info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevresearch.2.023246
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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