Topological properties of Dirac and Weyl semimetals
Mesoscale and Nanoscale Physics
2023-01-18 v1 Strongly Correlated Electrons
Abstract
This chapter describes topological (Dirac and Weyl) semimetals from the viewpoint of their observable electromagnetic response. We argue that this response may be represented by topological terms with unquantized (non-integer) coefficients and make a connection with the Luttinger's theorem, which relates the size of the Fermi surface of an ordinary metal to the number of electrons per unit cell. We discuss observable transport phenomena, associated with this topological response.
Keywords
Cite
@article{arxiv.2205.09866,
title = {Topological properties of Dirac and Weyl semimetals},
author = {A. A. Burkov},
journal= {arXiv preprint arXiv:2205.09866},
year = {2023}
}
Comments
7 pages, 5 figures; chapter for Encyclopedia of Condensed Matter Physics, 2nd edition (Elsevier)