Resonant spin Hall and Nernst effect in a nanoribbon of a spin-orbit coupled electronic system

Abstract

We present a theoretical study of spin Hall phenomenon in a nanoribbon of a two-dimensional electronic system with Rashba and Dresselhaus spin-orbit coupling. We model the electronic system by a square lattice in real space. We show that such nanoribbon can give rise to a number of additional spin degeneracy points as well as anticrossing points, apart from the $\Gamma$ point, between two opposite spin subbands. We compute the SHC and demonstrate that it diverges and gives rise to a resonance when the chemical potential passes through those spin degenerate or anticrossing points. Contrary to the previous studies, here such resonance emerges even without any external perturbation like magnetic field or light. We also examine the spin Nernst effect and find that it shows clear peaks at the anticrossing and spin degeneracy points, consistent with the Mott relation at low temperature. Finally, we also investigate the signature of such additional spin degeneracy and anticrossing points in the longitudinal conductance by using the retarded Green function approach in lattice model. The finite width induced subbands are reflected in the longitudinal conductance, which takes quantized values of $2n{e}^2/h$ where $n$ denotes the number of bands occupied by the chemical potential with each band having spin split subbands. We also note that anticrossing that occurs at low energy between two opposite spin subbands could be also detected via longitudinal conductance.

8 pages, 8 figures. Comments are welcome

References in corpus (21)

• Dissipationless Quantum Spin Current at Room Temperature
• Direct electronic measurement of the spin Hall effect
• Valley-Polarized Metals and Quantum Anomalous Hall Effect in Silicene
• An Exact SU(2) Symmetry and Persistent Spin Helix in a Spin-Orbit Coupled System
• Strong tuning of Rashba spin orbit interaction in single InAs nanowires
• Resonant Spin Hall Conductance in Two-Dimensional Electron Systems with Rashba Interaction in a Perpendicular Magnetic Field
• Spin-Hall transport of heavy holes in III-V semiconductor quantum wells
• Absence of vertex correction for the spin Hall effect in p-type semiconductors
• Spin Nernst effect and Nernst effect in two-dimensional electron systems
• Tunable large spin Hall and spin Nernst effects in Dirac semimetals ZrXY (X=Si, Ge; Y=S, Se, Te)
• Spin Hall effect in a two-dimensional electron gas in the presence of a magnetic field
• Large spin-Hall effect in Si at room temperature
• Sign changes and resonance of intrinsic spin Hall effect in two-dimensional hole gas
• Theory of the inverse Faraday effect in dissipative Rashba electron systems: Floquet engineering perspective
• Weyl Semimetallic State in the Rashba-Hubbard Model
• Photoinduced spin-Hall resonance in a k^3-Rashba spin-orbit coupled two dimensional hole system
• Magnetotransport properties of two-dimensional fermions with $k$-cubic Rashba spin-orbit interaction
• Resonant Spin Polarization and Hall Effects in a Two-Dimensional Electron Gas
• Microscopic theory of spin Nernst effect
• Theory of charge-to-spin conversion under quantum confinement
• Electrically tunable spin-orbit interaction in an InAs nanosheet