Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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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 -