Integer Spin Hall Effect in Ballistic Quantum Wires

Abstract

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.

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

References in corpus (14)

• Spin Hall effect
• Universal Intrinsic Spin-Hall Effect
• Dissipationless Quantum Spin Current at Room Temperature
• Quantum Transport in Semiconductor Nanostructures
• Spin Accumulation in Quantum Wires with Strong Rashba Spin-Orbit Coupling
• Spin-Hall effect in a disordered 2D electron-system
• The spin-orbit interaction as a source of new spectral and transport properties in quasi-one-dimensional systems
• Magnetoconductance of a two-dimensional metal in the presence of spin-orbit coupling
• Spin-orbit induced anisotropy in the magnetoconductance of two-dimensional metals
• Rashba effect in 2D mesoscopic systems with transverse magnetic field
• Magnetic field effects on low dimensional electron systems: Luttinger liquid behaviour in a Quantum Wire
• Spin-orbit coupling in a Quantum Dot at high magnetic field
• Transport through a double barrier for interacting quasi one-dimensional electrons in a Quantum Wire in the presence of a transverse magnetic field
• On the Non-invasive Measurement of the Intrinsic Quantum Hall Effect

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• Quenching of Spin Hall Effect in Ballistic nano-junctions
• Spin densities in parabolic quantum wires with Rashba spin-orbit interaction
• Spin separation in a T ballistic nanojunction due to lateral-confinement-induced spin-orbit-coupling
• Electron states in the quantum wire with periodic serial structure
• Ballistic 3-port interferometric logic gates in the quantum Hall regime