Heat transport through quantum Hall edge states: tunneling versus capacitive coupling to reservoirs

We study the heat transport along an edge state of a two-dimensional electron gas in the quantum Hall regime, in contact to two reservoirs at different temperatures. We consider two exactly solvable models for the edge state coupled to the reservoirs. The first one corresponds to filling ν=1 and tun...

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Detalles Bibliográficos
Autores principales:	Aita, Hugo Alberto, arrechea, Liliana, Naón, Carlos María, Fradkin, Eduardo
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2013
Materias:	Física Coupling Quantum tunnelling Physics Ballistic conduction Quantum hall effect Capacitive sensing Condensed matter physics Capacitive coupling Fermi gas Thermal conductivity
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/125905
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-125905
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Física Coupling Quantum tunnelling Physics Ballistic conduction Quantum hall effect Capacitive sensing Condensed matter physics Capacitive coupling Fermi gas Thermal conductivity
spellingShingle	Física Coupling Quantum tunnelling Physics Ballistic conduction Quantum hall effect Capacitive sensing Condensed matter physics Capacitive coupling Fermi gas Thermal conductivity Aita, Hugo Alberto arrechea, Liliana Naón, Carlos María Fradkin, Eduardo Heat transport through quantum Hall edge states: tunneling versus capacitive coupling to reservoirs
topic_facet	Física Coupling Quantum tunnelling Physics Ballistic conduction Quantum hall effect Capacitive sensing Condensed matter physics Capacitive coupling Fermi gas Thermal conductivity
description	We study the heat transport along an edge state of a two-dimensional electron gas in the quantum Hall regime, in contact to two reservoirs at different temperatures. We consider two exactly solvable models for the edge state coupled to the reservoirs. The first one corresponds to filling ν=1 and tunneling coupling to the reservoirs. The second one corresponds to integer or fractional filling of the sequence ν = /m (with m odd), and capacitive coupling to the reservoirs. In both cases, we solve the problem by means of nonequilibrium Green function formalism. We show that heat propagates chirally along the edge in the two setups. We identify two temperature regimes, defined by Δ , the mean level spacing of the edge. At low temperatures, T < Δ , finite size effects play an important role in heat transport, for both types of contacts. The nature of the contacts manifests itself in different power laws for the thermal conductance as a function of the temperature. For capacitive couplings, a highly nonuniversal behavior takes place, through a prefactor that depends on the length of the edge as well as on the coupling strengths and the filling fraction. For larger temperatures, T >Δ , finite-size effects become irrelevant, but the heat transport strongly depends on the strength of the edge-reservoir interactions, in both cases. The thermal conductance for tunneling coupling grows linearly with T , whereas for the capacitive case, it saturates to a value that depends on the coupling strengths and the filling factors of the edge and the contacts.
format	Articulo Articulo
author	Aita, Hugo Alberto arrechea, Liliana Naón, Carlos María Fradkin, Eduardo
author_facet	Aita, Hugo Alberto arrechea, Liliana Naón, Carlos María Fradkin, Eduardo
author_sort	Aita, Hugo Alberto
title	Heat transport through quantum Hall edge states: tunneling versus capacitive coupling to reservoirs
title_short	Heat transport through quantum Hall edge states: tunneling versus capacitive coupling to reservoirs
title_full	Heat transport through quantum Hall edge states: tunneling versus capacitive coupling to reservoirs
title_fullStr	Heat transport through quantum Hall edge states: tunneling versus capacitive coupling to reservoirs
title_full_unstemmed	Heat transport through quantum Hall edge states: tunneling versus capacitive coupling to reservoirs
title_sort	heat transport through quantum hall edge states: tunneling versus capacitive coupling to reservoirs
publishDate	2013
url	http://sedici.unlp.edu.ar/handle/10915/125905
work_keys_str_mv	AT aitahugoalberto heattransportthroughquantumhalledgestatestunnelingversuscapacitivecouplingtoreservoirs AT arrechealiliana heattransportthroughquantumhalledgestatestunnelingversuscapacitivecouplingtoreservoirs AT naoncarlosmaria heattransportthroughquantumhalledgestatestunnelingversuscapacitivecouplingtoreservoirs AT fradkineduardo heattransportthroughquantumhalledgestatestunnelingversuscapacitivecouplingtoreservoirs
bdutipo_str	Repositorios
_version_	1764820452478287874

Heat transport through quantum Hall edge states: tunneling versus capacitive coupling to reservoirs

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