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arXiv · 1612.03944

Green's functions of electrons in group-VI dichalcogenides in a magnetic field

Tomasz M Rusin·Wlodek Zawadzki
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Abstract

Closed expression for the Green's function of the stationary two-dimensional Schrodinger equation for an electron in group-VI dichalcogenides in the presence of a magnetic field is obtained in terms of the Whittaker functions. The resulting Green's function operator is a~$8 \times 8$ matrix consisting of four block-diagonal~$2\times 2$ matrices, each of them characterized by different values of valley index and electron spin. The obtained results are used to calculate local density of states induced by a neutral delta-like impurity in the presence of a magnetic field within the lowest Born approximation. The spatial electron density experiences either the Friedel-like oscillations or an exponential decay as a function of the distance from the impurity.

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Tomasz M Rusin, Wlodek Zawadzki. 2016-12-12. Green's functions of electrons in group-VI dichalcogenides in a magnetic field. https://arxiv.org/abs/1612.03944

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