Planar QED at finite temperature and density: Hall conductivity, Berry's phases and minimal conductivity of graphene

We study 1-loop effects for massless Dirac fields in two spatial dimensions, coupled to homogeneous electromagnetic backgrounds, both at zero and at finite temperature and density. In the case of a purely magnetic field, we analyze the relationship between the invariance of the theory under large ga...

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Autores principales: Beneventano, Carlota Gabriela, Giacconi, Paola, Santángelo, Eve Mariel, Soldati, Roberto
Formato: Articulo
Lenguaje:Español
Publicado: 2009
Materias:
Física
Minimal conductivity
Graphene
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/123899
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-123899
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Español
topic Física
Minimal conductivity
Graphene
spellingShingle Física
Minimal conductivity
Graphene
Beneventano, Carlota Gabriela
Giacconi, Paola
Santángelo, Eve Mariel
Soldati, Roberto
Planar QED at finite temperature and density: Hall conductivity, Berry's phases and minimal conductivity of graphene
topic_facet Física
Minimal conductivity
Graphene
description We study 1-loop effects for massless Dirac fields in two spatial dimensions, coupled to homogeneous electromagnetic backgrounds, both at zero and at finite temperature and density. In the case of a purely magnetic field, we analyze the relationship between the invariance of the theory under large gauge transformations, the appearance of Chern-Simons terms and of different Berry's phases. In the case of a purely electric background field, we show that the effective Lagrangian is independent of the chemical potential and of the temperature. More interesting: we show that the minimal conductivity, as predicted by the quantum field theory, is the right multiple of the conductivity quantum and is, thus, consistent with the value measured for graphene, with no extra factor of pi in the denominator.
format Articulo
Articulo
author Beneventano, Carlota Gabriela
Giacconi, Paola
Santángelo, Eve Mariel
Soldati, Roberto
author_facet Beneventano, Carlota Gabriela
Giacconi, Paola
Santángelo, Eve Mariel
Soldati, Roberto
author_sort Beneventano, Carlota Gabriela
title Planar QED at finite temperature and density: Hall conductivity, Berry's phases and minimal conductivity of graphene
title_short Planar QED at finite temperature and density: Hall conductivity, Berry's phases and minimal conductivity of graphene
title_full Planar QED at finite temperature and density: Hall conductivity, Berry's phases and minimal conductivity of graphene
title_fullStr Planar QED at finite temperature and density: Hall conductivity, Berry's phases and minimal conductivity of graphene
title_full_unstemmed Planar QED at finite temperature and density: Hall conductivity, Berry's phases and minimal conductivity of graphene
title_sort planar qed at finite temperature and density: hall conductivity, berry's phases and minimal conductivity of graphene
publishDate 2009
url http://sedici.unlp.edu.ar/handle/10915/123899
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AT santangeloevemariel planarqedatfinitetemperatureanddensityhallconductivityberrysphasesandminimalconductivityofgraphene
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