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Thermodynamics of localized magnetic moments in a Dirac conductor

Research output: Contribution to journalJournal article


Article number054424
<mark>Journal publication date</mark>16/08/2012
<mark>Journal</mark>Physical review b
Issue number5
Number of pages5
Pages (from-to)-
<mark>Original language</mark>English


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.