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Holographic anyonization: a systematic approach

  • Matthias Ihl
  • Niko Jokela
  • Tobias Zingg
Open Access
Regular Article - Theoretical Physics

Abstract

Anyons have garnered substantial interest theoretically as well as experimentally. Due to the intricate nature of their interactions, however, even basic notions such as the equation of state for any kind of anyon gas have eluded a profound understanding so far. Using holography as a guiding principle, we propose a general method for an alternative quantization of electromagnetic degrees of freedom in the gravitational dual to obtain an effective physical description of strongly correlated anyonic systems. We then demonstrate the application of this prescription in a toy model of an anyonic fluid at finite charge density and magnetic field, dual to a dyonic black brane in AdS 4, and compute the equation of state and various transport coefficients explicitly.

Keywords

Holography and condensed matter physics (AdS/CMT) Anyons Gaugegravity correspondence 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2016

Authors and Affiliations

  1. 1.Centro de Física do Porto e Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do PortoPortoPortugal
  2. 2.Department of PhysicsUniversity of HelsinkiFinland
  3. 3.Helsinki Institute of PhysicsUniversity of HelsinkiFinland

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