TY - JOUR

T1 - Thermodynamics of localized magnetic moments in a Dirac conductor

AU - Cheianov, V.

AU - Szyniszewski, Marcin

AU - Burovski, E.

AU - Sherkunov, Yury

AU - Falko, Vladimir

PY - 2012/8/16

Y1 - 2012/8/16

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevB.86.054424

DO - 10.1103/PhysRevB.86.054424

M3 - Journal article

VL - 86

SP - -

JO - Physical review B

JF - Physical review B

SN - 1098-0121

IS - 5

M1 - 054424

ER -