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Thermodynamics of localized magnetic moments in a Dirac conductor

Research output: Contribution to journalJournal article


Article number054424
Journal publication date16/08/2012
JournalPhysical review b
Number of pages5
Original languageEnglish


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.