Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-12-17
Physics
Condensed Matter
Statistical Mechanics
5 pages, 1 figure, 2 tables, RevTeX
Scientific paper
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.
Burovski Evgeni
Cheianov Vadim V.
Fal'ko Vladimir
Sherkunov Yu.
Szyniszewski M.
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