Influences of the coordinate dependent noncommutative space on charged and spin currents

Ya-Jie Ren; Kai Ma

doi:10.1142/s0217751x18500938

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arXiv · 1802.10452

Influences of the coordinate dependent noncommutative space on charged and spin currents

Ya-Jie Ren·Kai Ma

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Abstract

We study the charged and spin currents on a coordinate dependent noncommutative space. Starting from the noncommutative extended relativistic equation of motion, the non-relativistic approximation is obtained by using the Foldy-Wouthuysen transformation, and then the charged and spin currents are derived by using the extended Drude model. We find that the charged current is twisted by modifying the off-diagonal elements of the Hall conductivity, however, the spin current is not affected up to leading order of the noncommutative parameter.

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Ya-Jie Ren, Kai Ma. 2018-02-26. Influences of the coordinate dependent noncommutative space on charged and spin currents. https://doi.org/10.1142/s0217751x18500938

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