Topological properties of Dirac and Weyl semimetals
arXiv:2205.09866 · doi:10.1016/B978-0-323-90800-9.00052-4
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.
arXiv comment7 pages, 5 figures; chapter for Encyclopedia of Condensed Matter Physics, 2nd edition (Elsevier)
References in corpus (9)
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Weyl Semimetal in a Topological Insulator Multilayer
- Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
- Observation of the chiral magnetic effect in ZrTe5
- Theory of the strongly disordered Weyl semimetal
- Elasticity tetrads, mixed axial-gravitational anomalies, and 3+1d quantum Hall effect
- Unquantized anomalies in topological semimetals
- Probing charge pumping and relaxation of the chiral anomaly in a Dirac semimetal
- Dynamical density response and optical conductivity in topological metals