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Wigner Function Formalism for Zero Magnetic Field Spin Dependent Resonant Tunneling Structures

Mehmet Burcin Unlu·Hong-Liang Cui
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Abstract

We develop a Wigner function representation of the quantum transport theory of the conduction band electrons in Rashba effect resonant tunneling structures with a phonon bath. In narrow band gap heterostructures, spin splitting occurs mainly as a result of inversion asymmetry in the spatial dependence of the potential or as a result of external electric field. This "zero magnetic field spin splitting" is due to the Rashba term in the effective mass Hamiltonian. The quantum transport equations are derived using multi-band non-equilibrium Green's function formulation in generalized Kadanoff-Baym ansatz.

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Mehmet Burcin Unlu, Hong-Liang Cui. 2004-09-23. Wigner Function Formalism for Zero Magnetic Field Spin Dependent Resonant Tunneling Structures. https://arxiv.org/abs/cond-mat/0409595

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