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

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

2004-09-22

arxiv.org/abs/cond-mat/0409595v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages

Scientific paper

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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