Optical conductivity, Drude weight and plasmons in twisted graphene bilayers

We numerically calculate the optical conductivity of twisted graphene bilayers within the continuum model. To obtain the imaginary part, we employ the regularized Kramers–Kronig relation, allowing us to discuss arbitrary twist angles, chemical potential and temperature. We find that the Drude weight...

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Detalles Bibliográficos
Autores: Stauber, Tobias, San-Jose, Pablo, Brey, Luis
Tipo de recurso: artículo
Fecha de publicación:2013
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/667549
Acceso en línea:http://hdl.handle.net/10486/667549
https://dx.doi.org/10.1088/1367-2630/15/11/113050
Access Level:acceso abierto
Palabra clave:Tight binding model
Band structure
Graphene
Dielectric function
Random phase approximation
Plasmons
Dispersion relations
Rhenium
Optical absorption
Física
Descripción
Sumario:We numerically calculate the optical conductivity of twisted graphene bilayers within the continuum model. To obtain the imaginary part, we employ the regularized Kramers–Kronig relation, allowing us to discuss arbitrary twist angles, chemical potential and temperature. We find that the Drude weight D as a function of the chemical potential μ closely follows the shell structure of a twisted bilayer displayed by the density of states. For certain angles, this results in a transport gap D = 0 at finite μ. We also discuss the loss function which, for low doping, is characterized by acoustic interband ‘plasmons’ and transitions close to the van Hove singularities. For larger doping, the plasmon mode of a decoupled graphene bilayer is recovered that is damped especially for small wave numbers