Thermodynamics of localized magnetic moments in a Dirac conductor

Cheianov, V. and Szyniszewski, Marcin and Burovski, E. and Sherkunov, Yury and Falko, Vladimir (2012) Thermodynamics of localized magnetic moments in a Dirac conductor. Physical review B, 86 (5). -. ISSN 1098-0121

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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 T-1 -> 0. 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.

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Journal Article
Journal or Publication Title:
Physical review B
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Deposited On:
09 Oct 2012 13:44
Last Modified:
01 Jan 2022 10:50