Four-Step Evolution of Spin-Hall Conductance: Tight-Binding Electrons with Rashba Coupling in a Magnetic Field

Abstract

An intriguing magneto-transport property is demonstrated by tight-binding lattice electrons with Rashba spin-orbit coupling (SOC) in a magnetic field. With the flux strength $\varphi =2\pi /N$ ($N$ is an integer) and the Zeeman splitting fixed, when increasing the Rashba SOC $\lambda$, the spin-Hall and charge-Hall conductances (SHC and CHC) undergo four-step evolutions: the SHC shows size-dependent resonances and jumps at three critical ${\lambda }_c$'s, and changes its sign at ${\lambda }_{c1}$ and ${\lambda }_{c3}$; while the CHC exhibits three quantum jumps by $-N{e}^2/h$, $+2N{e}^2/h$ and $-N{e}^2/h$. Such four-step evolutions are also reflected in topological characters and spin polarizations of edge states of a cylindrical system, and are robust against weak disorder.

4 pages, 5 figures

References in corpus (25)

• Spintronics: Fundamentals and applications
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Spin Hall effect
• Universal Intrinsic Spin-Hall Effect
• Dissipationless Quantum Spin Current at Room Temperature
• Direct electronic measurement of the spin Hall effect
• Experimental observation of the spin-Hall effect in a two dimensional spin-orbit coupled semiconductor system
• Room Temperature Reversible Spin Hall Effect
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Spin Filtered Edge States and Quantum Hall Effect in Graphene
• An exact chiral spin liquid with non-Abelian anyons
• Measurement of Rashba and Dresselhaus spin-orbit magnetic fields
• Nondissipative Spin Hall Effect via Quantized Edge Transport
• Resonant Spin Hall Conductance in Two-Dimensional Electron Systems with Rashba Interaction in a Perpendicular Magnetic Field
• Edge solitons of topological insulators and fractionalized quasiparticles in two dimensions
• Spin-Hall Effect in Two-Dimensional Electron Systems with Rashba Spin-Orbit Coupling and Disorder
• Non-equilibrium spin dynamics in a trapped Fermi gas with effective spin-orbit interaction
• Sum rules for spin-Hall conductivity cancelation
• Quantum Hall - insulator transitions in lattice models with strong disorder
• Spin Hall Effect and Spin Transfer in Disordered Rashba Model
• Redistributing Chern numbers of Landau subbands: tight-binding electrons under staggered-modulated magnetic fields
• Theory of resonant spin Hall effect

Cited by in corpus (2)

• Topological-Fermi-Liquid to Quantum-Hall-Liquid Transitions: $p$-Band and $d$-Band Fermions in a Magnetic Field
• Local spin polarisation of electrons in Rashba semiconductor nanowires: effects of the bound state