Tunneling spin current in a system with spin degeneracy

Abstract

We study theoretically spin current generation from a band insulator with PT symmetry, which is associated with Zener tunneling in strong dc electric fields. Each band in this system is doubly degenerate with opposite spins, but spin rotational symmetry is not preserved in general. We consider the condition for spin current generation in connection with the nature of the wave function, which ultimately depends on a geometric quantity known as the shift vector. From an analysis of a two-band model, we find that the shift vector is necessary for spin current generation in a PT symmetric system. We also present zigzag chain models that have shift vectors, and confirm from numerical calculations that a nonzero tunneling spin current occurs in spin-degenerate systems.

arXiv comment15 pages, 8 figures

References in corpus (21)

• Dissipationless Quantum Spin Current at Room Temperature
• Semiconductor Spintronics
• Nonequilibrium dynamical mean-field theory and its applications
• First principles calculations of the Shift Current Bulk Photovoltaic Effect in Ferroelectrics
• Topological nature of nonlinear optical effects in solids
• Hidden spin polarization in inversion-symmetric bulk crystals
• Design principles for shift current photovoltaics
• Symmetry-imposed shape of linear response tensors
• Ground-State Decay Rate for the Zener Breakdown in Band and Mott Insulators
• Chiral photocurrent in parity-violating magnet and enhanced response in topological antiferromagnet
• Magneto-Electric Effect in Three-dimensional Coupled Zigzag Chains
• Pure Spin Photocurrent in Non-centrosymmetric Crystals: Bulk Spin Photovoltaic Effect
• Multipole classification in 122 magnetic point groups for unified understanding of multiferroic responses and transport phenomena
• Nonlinear spin current generation in noncentrosymmetric spin-orbit coupled systems
• Uncovering and tailoring hidden Rashba spin-orbit splitting in centrosymmetric crystals
• Emergent spin-valley-orbital physics by spontaneous parity breaking
• Generation of spin currents and spin densities in systems with reduced symmetry
• Spontaneous multipole ordering by local parity mixing
• Nonreciprocal Landau-Zener tunneling
• Nonadiabatic Nonlinear Optics and Quantum Geometry -- Application to the Twisted Schwinger Effect
• Current response of nonequilibrium steady states in Landau-Zener problem: Nonequilibrium Green's function approach

Cited by in corpus (8)

• Nonlinear spin Hall effect in $\mathcal{P}\mathcal{T}$-symmetric collinear magnets
• Multifarious skyrmion phases on a trilayer triangular lattice
• Spin Conductivity Based on Magnetic Toroidal Quadrupole Hidden in Antiferromagnets
• Square skyrmion crystal in centrosymmetric systems with locally inversion-asymmetric layers
• Magnetic Toroidal Moment under Partial Magnetic Order in Hexagonal Zigzag-Chain Compound Ce${}_3$TiBi${}_5$
• Unexpected linear conductivity in Landau-Zener model: limitations and improvements of the relaxation time approximation in the quantum master equation
• Finite-$q$ antiferrotoroidal and ferritoroidal order in a distorted kagome structure
• Uniform and Staggered electric axial moment in zigzag chain