Conductivities in an anisotropic medium

Sunly Khimphun, Bum-Hoon Lee, and Chanyong Park
Phys. Rev. D 94, 086005 – Published 14 October 2016

Abstract

In order to imitate the anisotropic medium of a condensed matter system, we take into account an Einstein-Maxwell-dilaton-axion model as a dual gravity theory where the anisotropy is caused by different momentum relaxations. This gravity model allows an anisotropic charged black hole solution. On this background, we investigate how the linear responses of vector modes like electric, thermoelectric, and thermal conductivities rely on the anisotropy. We find that the electric conductivity in the low frequency limit shows a Drude peak and that, in the intermediate frequency regime, it reveals the power law behavior. Specifically, when the anisotropy increases, the exponent of the power law becomes smaller. In addition, we find that a critical value for the anisotropy exists at which the dc conductivity reaches to its maximum value.

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  • Received 13 May 2016

DOI:https://doi.org/10.1103/PhysRevD.94.086005

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Sunly Khimphun1,*, Bum-Hoon Lee1,2,†, and Chanyong Park2,3,‡

  • 1Department of Physics, Sogang University, Seoul 121-742, Korea
  • 2Asia Pacific Center for Theoretical Physics, Pohang 790-784, Korea
  • 3Department of Physics, Postech, Pohang 790-784, Korea

  • *kpslourk@yahoo.com
  • bhl@sogang.ac.kr
  • chanyong.park@apctp.org

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Issue

Vol. 94, Iss. 8 — 15 October 2016

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