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Thermodynamics of localized magnetic moments in a Dirac conductor

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Thermodynamics of localized magnetic moments in a Dirac conductor. / Cheianov, V.; Szyniszewski, Marcin; Burovski, E. et al.
In: Physical review B, Vol. 86, No. 5, 054424, 16.08.2012, p. -.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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@article{de7ffe8369ba498b9a60f3d734618363,
title = "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 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.",
author = "V. Cheianov and Marcin Szyniszewski and E. Burovski and Yury Sherkunov and Vladimir Falko",
year = "2012",
month = aug,
day = "16",
doi = "10.1103/PhysRevB.86.054424",
language = "English",
volume = "86",
pages = "--",
journal = "Physical review B",
issn = "1098-0121",
publisher = "AMER PHYSICAL SOC",
number = "5",

}

RIS

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 -