# Relativistic Wigner functions in transition metal dichalcogenides

Relativistic Wigner functions in transition metal dichalcogenides The Wigner function has been proven useful in many studies of transport as well as quantum coherence in experimental situations. When we deal with Dirac bands, this function becomes a matrix function. Here, we study the Wigner matrix for a situation in a transition metal dichacogenides with a dominant spin–orbit interaction. Here, we discuss $$\hbox {WS}_{2}$$ WS 2 , where the bands can be described with the Dirac equation, and a unique spin-valley coupling arises. This leads to a 2X2 Wigner matrix for either the conduction band or the valence band. The off-diagonal elements display interference phenomena from the two diagonal components. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Computational Electronics Springer Journals

# Relativistic Wigner functions in transition metal dichalcogenides

, Volume 17 (1) – Oct 19, 2017
8 pages

/lp/springer_journal/relativistic-wigner-functions-in-transition-metal-dichalcogenides-1w6m8z7JlT
Publisher
Springer US
Subject
Engineering; Mathematical and Computational Engineering; Electrical Engineering; Theoretical, Mathematical and Computational Physics; Optical and Electronic Materials; Mechanical Engineering
ISSN
1569-8025
eISSN
1572-8137
D.O.I.
10.1007/s10825-017-1094-4
Publisher site
See Article on Publisher Site

### Abstract

The Wigner function has been proven useful in many studies of transport as well as quantum coherence in experimental situations. When we deal with Dirac bands, this function becomes a matrix function. Here, we study the Wigner matrix for a situation in a transition metal dichacogenides with a dominant spin–orbit interaction. Here, we discuss $$\hbox {WS}_{2}$$ WS 2 , where the bands can be described with the Dirac equation, and a unique spin-valley coupling arises. This leads to a 2X2 Wigner matrix for either the conduction band or the valence band. The off-diagonal elements display interference phenomena from the two diagonal components.

### Journal

Journal of Computational ElectronicsSpringer Journals

Published: Oct 19, 2017

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