Determination of Dynamical exponents of Graphene at quantum critical point by holography

We calculate the transport of a theory with two conserved currents by holographic method and compare it with graphene data to determine its dynamical exponents \((z,\theta)\) which characterizes a QCP. As a result, we find that the electric and the thermal conductivity data can be fit much more natu...

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Bibliographic Details
Published in:arXiv.org 2020-12
Main Authors: Song, Geunho, Seo, Yunseok, Sang-Jin, Sin
Format: Article
Language:English
Subjects:
Critical point
Exponents
Graphene
High temperature
Holography
Strong interactions (field theory)
Thermal conductivity
Online Access:Get full text
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Summary:We calculate the transport of a theory with two conserved currents by holographic method and compare it with graphene data to determine its dynamical exponents \((z,\theta)\) which characterizes a QCP. As a result, we find that the electric and the thermal conductivity data can be fit much more naturally if we assume \((z,\theta)=(3/2,1)\) rather than \((1,0)\). Furthermore, we find that thermoelectric power data at high temperature can be fit if we use \((3/2,1)\) but not at all by \((1,0)\). The \(\theta=1\) result can be interpreted as taking into account the fermionic nature of the electrons and \(z=3/2\) can be interpreted as the flattened band by the strong interaction.
ISSN:2331-8422
DOI:10.48550/arxiv.2007.08143