Thermodynamics of localized magnetic moments in a Dirac conductor

V. Cheianov, M. Szyniszewski, E. Burovski, Yu. Sherkunov, and V. Fal'ko
Phys. Rev. B 86, 054424 – Published 16 August 2012

Abstract

We show that the magnetic susceptibility of a dilute ensemble of magnetic impurities in a conductor with a relativistic electronic spectrum is nonanalytic in the inverse temperature at T10. We derive a general theory of this effect and construct the high-temperature expansion for the disorder averaged susceptibility to any order, convergent at all temperatures down to a possible ordering transition. When applied to Ising impurities on a surface of a topological insulator, the proposed general theory agrees with Monte Carlo simulations, and it allows us to find the critical temperature of the ferromagnetic phase transition.

  • Figure
  • Received 17 December 2011

DOI:https://doi.org/10.1103/PhysRevB.86.054424

©2012 American Physical Society

Authors & Affiliations

V. Cheianov, M. Szyniszewski, E. Burovski, Yu. Sherkunov, and V. Fal'ko

  • Physics Department, Lancaster University, Lancaster LA1 4YB, England, United Kingdom

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Issue

Vol. 86, Iss. 5 — 1 August 2012

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