Integer Spin Hall Effect in Ballistic Quantum Wires

Details Integer Spin Hall Effect in Ballistic Quantum Wires Integer Spin Hall Effect in Ballistic Quantum Wires

2005-12-21

arxiv.org/abs/cond-mat/0512543v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 5 figures, accepted for publication in Phys. Rev. B, PACS: 72.25.-b, 72.10.-d, 72.15.Rn, 73.23.-b, 71.10.Pm

Scientific paper

10.1103/PhysRevB.73.045329

We investigate the ballistic electron transport in a two dimensional Quantum Wire under the action of an electric field ($E_y$). We demonstrate how the presence of a Spin Orbit coupling, due to the uniform electric confinement field gives a non-commutative effect as in the presence of a transverse magnetic field. We discuss how the non commutation implies an edge localization of the currents depending on the electron spins also giving a semi-classical spin dependent Hall current. We also discuss how it is possible obtain a quantized Spin Hall conductance in the ballistic transport regime by developing the Landauer formalism and show the coupling between the spin magnetic momentum and the orbital one due to the presence of a circulating current.

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