Transient effects in the backscattered current of a Luttinger liquid

We study the backscattered current in a Luttinger liquid in the presence of a pointlike weak impurity switched on at finite time, taking into account finite-temperature effects. We show how the well-known results for a static impurity are distorted. We derive a dimensionless parameter τ<sub>R&...

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Detalhes bibliográficos
Autores: Salvay, Mariano J., Aita, Hugo Alberto, Naón, Carlos María
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2010
País:Argentina
Recursos:Universidad Nacional de La Plata
Repositorio:SEDICI (UNLP)
Idioma:inglés
OAI Identifier:oai:sedici.unlp.edu.ar:10915/126081
Acesso em linha:http://sedici.unlp.edu.ar/handle/10915/126081
Access Level:acceso abierto
Palavra-chave:Física
Physics
Current (mathematics)
Voltage
Luttinger liquid
Dimensionless quantity
Condensed matter physics
Luttinger parameter
Transient (oscillation)
Function (mathematics)
Quantum mechanics
Impurity
Descrição
Resumo:We study the backscattered current in a Luttinger liquid in the presence of a pointlike weak impurity switched on at finite time, taking into account finite-temperature effects. We show how the well-known results for a static impurity are distorted. We derive a dimensionless parameter τ<sub>R</sub> as a function of the electron-electron interaction and the temperature, such that for τ<sub>R</sub> <1(>1) the switching process is relevant (irrelevant). Our results suggest the possibility of determining the value of the Luttinger parameter K through time measurements in transport experiments at fixed voltage.