Mesoscopic Spin Hall Effect

Abstract

We investigate the spin Hall effect in ballistic chaotic quantum dots with spin-orbit coupling. We show that a longitudinal charge current can generate a pure transverse spin current. While this transverse spin current is generically nonzero for a fixed sample, we show that when the spin-orbit coupling time is large compared to the mean dwell time inside the dot, it fluctuates universally from sample to sample or upon variation of the chemical potential with a vanishing average. For a fixed sample configuration, the transverse spin current has a finite typical value ~e^2 V/h, proportional to the longitudinal bias V on the sample, and corresponding to about one excess open channel for one of the two spin species. Our analytical results are in agreement with numerical results in a diffusive system [W. Ren et al., Phys. Rev. Lett. 97, 066603 (2006)] and are further confirmed by numerical simulation in a chaotic cavity.

4 pages, 2 figures

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• Quantum transport in Rashba spin-orbit materials: A review
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• Zeeman ratchets: pure spin current generation in mesoscopic conductors with non-uniform magnetic fields
• Spin Accumulation in Diffusive Conductors with Rashba and Dresselhaus Spin-Orbit Interaction
• Measuring Spin Accumulations with Current Noise
• Generation and Detection of Spin Currents in Semiconductor Nanostructures with Strong Spin-Orbit Interaction
• Universal Spin Hall Conductance Fluctuations in Chaotic Dirac Quantum Dots
• Extracting current-induced spins: spin boundary conditions at narrow Hall contacts
• Orbital Hall effect in mesoscopic devices
• Electrical probing of the spin conductance of mesoscopic cavities
• Generalized correlation functions for conductance fluctuations and the mesoscopic spin Hall effect
• Spin-to-Charge Conversion of Mesoscopic Spin Currents
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• Spin-to-Charge Conversion in 2D Electron Gas and Single-layer Graphene Devices
• Mesoscopic fluctuations of spin currents
• Dynamical spin Hall conductivity in a magnetic disordered system
• Spin Hall angle fluctuations in a disorder device
• Presence of asymmetric noise in multi-terminal chaotic cavities
• Mesoscopic fluctuations in the spin-electric susceptibility due to Rashba spin-orbit interaction
• Statistical properties of electrochemical capacitance in disordered mesoscopic capacitors
• Fluctuations of spin transport through chaotic quantum dots with spin-orbit coupling
• Quantum Dot Spin Filter in Resonant Tunneling and Kondo Regimes
• Numerical study of resonant spin relaxation in quasi-1D channels
• Spin and Charge Shot Noise in Mesoscopic Spin Hall Systems
• Universal Features of Spin Transport and Breaking of Unitary Symmetries
• Detection of spin bias in four-terminal quantum-dot ring
• Spin-Orbit Based Coherent Spin Ratchets
• Rashba-induced transverse pure spin currents in a four-terminal quantum dot ring
• Spin Hall angle in single-layer graphene
• Orbital Hall effect and topology on a two-dimensional triangular lattice: from bulk to edge
• Spin conductances and magnetization production in chiral molecular junctions
• Scattering Theory of Current-Induced Spin Polarization
• Generation of spin-polarized current using multi-terminated quantum dot with spin-orbit interaction
• Non-linear spin filter for non-magnetic materials at zero magnetic field
• Dipole-like dynamical nuclear spin polarization around a quantum point contact
• Coexistent multifractal mesoscopic fluctuations in Integer Quantum Hall Transition and in Orbital Hall Transition
• Fermi energy sensitive universal conductance fluctuations in anisotropic materials