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 $$\hbox {WS}_{2}$$ , 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.
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