Longitudinal and spin-Hall conductance of a two-dimensional Rashba system with arbitrary disorder

Abstract

We calculate the longitudinal and spin-Hall conductances in four-lead bridges with Rashba - Dresselhaus spin-orbit interactions. Numerical results are obtained both within Landauer-Buttiker formalism and by the direct evaluation of the Kubo formula. The microscopic Hamiltonian is obtained in the tight-binding approximation in terms of the neareast-neighbor hopping integral $t$, the Rashba spin-orbit coupling $V_R$, the Dresselhaus spin-orbit coupling $V_D$ and an Anderson-like, on-site disorder energy strength $W$. We reconfirm that below a critical disorder threshold, the spin-Hall effect is present. Further, we study the effect on the two conductivities of the Fermi energy, Rashba/Dresselhaus coefficient ratio, and system size.

arXiv comment7 pages, 9 figures

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Cited by in corpus (17)

• Imaging mesoscopic spin Hall flow: Spatial distribution of local spin currents and spin densities in and out of multiterminal spin-orbit coupled semiconductor nanostructures
• Spin Hall Effect
• Nature of Spin Hall Effect in a finite Ballistic Two-Dimensional System with Rashba and Dresselhaus spin-orbit interaction
• Opposite spin accumulations on the transverse edges by the confining potential
• Spin Hall effect in a Kagome lattice driven by Rashba spin-orbit interaction
• Finite-size Effects in a Two-Dimensional Electron Gas with Rashba Spin-Orbit Interaction
• Spin-Hall conductivity of a spin-polarized two-dimensional electron gas with Rashba spin-orbit interaction and magnetic impurities
• Nonlinear Hall effect in Rashba systems with hexagonal warping
• Landauer-Büttiker Study of the Anomalous Hall Effect
• Magnetic adatoms in two and four terminal graphene nanoribbons: A comparison between their spin polarized transport
• Local spin polarisation of electrons in Rashba semiconductor nanowires: effects of the bound state
• Spin polarization direction switch based on an asymmetrical quantum wire
• Spin Hall conductance in a Y-shaped junction device in presence of tunable spin-orbit coupling
• Resonant spin Hall and Nernst effect in a nanoribbon of a spin-orbit coupled electronic system
• Subband anticrossing and the spin Hall effect in quantum wires
• Anisotropic intrinsic spin Hall effect in quantum wires
• Interplay of Rashba spin orbit coupling and disorder in the conductance properties of a four terminal junction device