Valley- and spin-filter in monolayer MoS${}_2$

Abstract

We propose a valley- and spin-filter based on a normal/ferromagnetic/normal molybdenum disulfide (MoS${}_2$) junction where the polarizations of the valley and the spin can be inverted by reversing the direction of the exchange field in the ferromagnetic region. By using a modified Dirac Hamiltonian and the scattering formalism, we find that the polarizations can be tuned by applying a gate voltage and changing the exchange field in the structure. We further demonstrate that the presence of a topological term ($\beta$) in the Hamiltonian results in an enhancement or a reduction of the charge conductance depending on the value of the exchange field.

11 pages, 5 figures. arXiv admin note: text overlap with arXiv:1402.1840

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