Thermodynamics of localized magnetic moments in a Dirac conductor

@article{Cheianov2011ThermodynamicsOL,
  title={Thermodynamics of localized magnetic moments in a Dirac conductor},
  author={Vadim V. Cheianov and Marcin Szyniszewski and Evgeni Burovski and Yury Sherkunov and Vladimir I. Fal’ko},
  journal={Physical Review B},
  year={2011},
  volume={86},
  pages={054424}
}
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… 

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References

SHOWING 1-10 OF 33 REFERENCES

Spatial correlation of conduction electrons in a metal with a complicated geometry of the Fermi surface

The 'density-density' correlation function (CF) of conduction electrons in a metal is investigated. It is shown that the asymptotic behaviour of the CF depends on the shape and the local geometry of

Ordering of magnetic impurities and tunable electronic properties of topological insulators.

It is found that the magnetic ordering is suppressed by potential scattering, and the ordered phase breaks time-reversal symmetry spontaneously, driving the surface states into a gapped state, which exhibits an anomalous quantum Hall effect and provides a realization of the parity anomaly.

Exchange interaction of magnetic impurities in graphene

The indirect exchange interaction between magnetic impurities localized in a graphene plane is considered theoretically, with the influence of intrinsic spin-orbit interaction taken into account.

Friedel oscillations, impurity scattering, and temperature dependence of resistivity in graphene.

Friedel oscillations in grapehene are strongly affected by the chirality of electrons in this material and the FO of the charge density around an impurity show a faster decay than in conventional 2D electron systems.

A topological Dirac insulator in a quantum spin Hall phase

The direct observation of massive Dirac particles in the bulk of Bi0.9Sb0.1 is reported, which suggests that the observed surface state on the boundary of the bulk insulator is a realization of the ‘topological metal’, which has potential application in developing next-generation quantum computing devices that may incorporate ‘light-like’ bulk carriers and spin-textured surface currents.

Massive Dirac Fermion on the Surface of a Magnetically Doped Topological Insulator

This work introduced magnetic dopants into the three-dimensional topological insulator dibismuth triselenide to break the time reversal symmetry and further position the Fermi energy inside the gaps by simultaneous magnetic and charge doping, thus achieving an insulating gapped Dirac state.

A topological insulator surface under strong Coulomb, magnetic and disorder perturbations

Topological insulators embody a state of bulk matter characterized by spin-momentum-locked surface states that span the bulk bandgap. This highly unusual surface spin environment provides a rich

Magnetism and magnetotransport in disordered graphene

We perform Monte Carlo simulations to study the interplay of structural and magnetic order in single layer graphene covered with magnetic adatoms. We propose that the presence of ripples in the

Diluted graphene antiferromagnet.

Interactions between local magnetic moments for both doped and undoped graphene suggest that at low temperature dilute magnetic moments embedded in graphene can order into a state analogous to that of a dilute antiferromagnet.

RKKY interaction in graphene

We consider RKKY interaction between two magnetic impurities in graphene. The consideration is based on the perturbation theory for the thermodynamic potential in the imaginary time representation.