Thermodynamics of localized magnetic moments in a Dirac conductor

Abstract

We show that the magnetic susceptibility of a dilute ensemble of magnetic impurities in a conductor with a relativistic electronic spectrum is non-analytic in the inverse tempertature at $1/T\to 0$. 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 tempertaures 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.

5 pages, 1 figure, 2 tables, RevTeX

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Cited by in corpus (4)

• Chiral Hall effect in the kink states in topological insulators with magnetic domain walls
• Tuning topological surface magnetism by bulk alloying
• Transmission of charge and spin in a topological-insulator-based magnetic structure
• Localized magnetic moments in a Dirac semimetal as a spin model with long--range interactions