Probability current in presence of Spin-Orbit Interaction

Federico Bottegoni; Henri-Jean Drouhin; Guy Fishman; Jean-Eric Wegrowe

doi:10.1117/12.893592

15 September 2011 Probability current in presence of Spin-Orbit Interaction

Federico Bottegoni, Henri-Jean Drouhin, Guy Fishman, Jean-Eric Wegrowe

Proceedings Volume 8100, Spintronics IV; 810012 (2011) https://doi.org/10.1117/12.893592
Event: SPIE NanoScience + Engineering, 2011, San Diego, California, United States

Abstract

We propose a procedure, based on momentum power series expansion Hamiltonian of nth general order, to obtain a coherent expression of the probability current operator that is valid also when Spin-Orbit Interaction (SOI) terms are included. We prove that we recover the standard definition when the free electron-like term is included in the Hamiltonian, but when taking into account higher order Spin-Orbit Interaction (SOI) terms, a more general definition of the probability current operator is mandatory, due to its different symmetrization, compared to the Hermitian velocity operator expression.

Citation Download Citation

Federico Bottegoni, Henri-Jean Drouhin, Guy Fishman, and Jean-Eric Wegrowe "Probability current in presence of Spin-Orbit Interaction", Proc. SPIE 8100, Spintronics IV, 810012 (15 September 2011); https://doi.org/10.1117/12.893592

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