Topological Orbital Angular Momentum Hall Current

Details Topological Orbital Angular Momentum Hall Current Topological Orbital Angular Momentum Hall Current

2005-03-07

arxiv.org/abs/cond-mat/0503149v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 1 figure

Scientific paper

We show that there is a fundamental difference between spin Hall current and orbital angular momentum Hall current in Rashba- Dresselhaus spin orbit coupling systems. The orbital angular momentum Hall current has a pure topological contribution which is originated from the existence of magnetic flux in momentum space while there is no such topological nature for the spin Hall current. Moreover, we show that the orbital Hall conductance is always larger than the spin Hall conductance in the presence of both couplings. The topological part is expected to be free from the effect of disorder due to the topological nature. Therefore, the orbital angular momentum Hall current should be the major effect in real experiments.

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