English

No bulk thermal currents in massive Dirac fermions

Mesoscale and Nanoscale Physics 2024-04-29 v1

Abstract

We calculate the energy current flowing in the bulk of a (2+1)-dimensional system of massive Dirac fermions and along a (1+1)-dimensional domain wall generated by flipping the sign of the particle mass. We show that, at low temperatures and in the long-wavelenghth limit, the system does not support a bulk thermal Hall current proportional to the temperature gradient. The only such contribution is due to states localised at the domain wall. This puts an end to a controversy existing in the literature and amends previous results obtained via first-order perturbation calculations.

Keywords

Cite

@article{arxiv.2404.16937,
  title  = {No bulk thermal currents in massive Dirac fermions},
  author = {Feng Liu and A. Daria Dumitriu-I. and Alessandro Principi},
  journal= {arXiv preprint arXiv:2404.16937},
  year   = {2024}
}
R2 v1 2026-06-28T16:06:54.953Z