Magnetoelectric torque and edge currents caused by spin-orbit coupling
arXiv:2107.04665 · doi:10.1103/PhysRevB.104.155309
Abstract
Using a tight-biding model, we elaborate that the previously discovered out-of-plane polarized helical edge spin current caused by Rashba spin-orbit coupling can be attributed to the fact that in a strip geometry, a positive momentum eigenstate does not always have the same spin polarization at the edge as the corresponding negative momentum eigenstate. In addition, in the presence of a magnetization pointing perpendicular to the edge, an edge charge current is produced, which can be chiral or nonchiral depending on whether the magnetization lies in-plane or out-of-plane. The spin polarization near the edge develops a transverse component orthogonal to the magnetization, which is antisymmetric between the two edges and tends to cause a noncollinear magnetic order between the two edges. If the magnetization only occupies a region near one edge, or in an irregular shaped quantum dot, this transverse component has a nonzero average, rendering a gate voltage-induced magnetoelectric torque without the need of a bias voltage. We also argue that other types of spin-orbit coupling that can be obtained from the Rashba type through a unitary transformation, such as the Dresselhaus spin-orbit coupling, will have similar effects too.
arXiv comment10 pages, 4 figures
References in corpus (61)
- The electronic properties of graphene
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Graphene: Status and Prospects
- Quantum Spin Hall Effect in Graphene
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Electronic transport in two dimensional graphene
- Spin Hall effect
- Quantum Spin Hall Effect
- Universal Intrinsic Spin-Hall Effect
- Direct electronic measurement of the spin Hall effect
- On-surface synthesis of graphene nanoribbons with zigzag edge topology
- Electronic Properties of Disordered Two-Dimensional Carbon
- Electronic States of Graphene Nanoribbons
- Electronic and Magnetic Properties of Nanographite Ribbons
- Giant Spin-splitting in the Bi/Ag(111) Surface Alloy
- Peculiar Width Dependence of the Electronic Property of Carbon Nanoribbons
- Spatially Resolving Spin-split Edge States of Chiral Graphene Nanoribbons
- Strong spin-orbit splitting on Bi surfaces
- Electronic structure and magnetic properties of graphitic ribbons
- Ab-initio calculations of exchange interactions, spin-wave stiffness constants, and Curie temperatures of Fe, Co, and Ni
- Proximity-induced ferromagnetism in graphene revealed by anomalous Hall effect
- First direct observation of Dirac fermions in graphite
- Boundary conditions for Dirac fermions on a terminated honeycomb lattice
- Large tuneable Rashba spin splitting of a two-dimensional electron gas in Bi2Se3
- Gate-Controlled Spin-Orbit Quantum Interference Effects in Lateral Transport
- On A Proper Definition of Spin Current
- Trivial and inverted Dirac bands, and emergence of quantum spin Hall states in graphene on transition-metal dichalcogenides
- Room temperature spin Hall effect in graphene/MoS van der Waals heterostructures
- Charge-to-Spin Conversion by the Rashba-Edelstein Effect in 2D van der Waals Heterostructures up to Room Temperature
- Rashba spin-splitting control at the surface of the topological insulator Bi2Se3
- Tunable room-temperature spin galvanic and spin Hall effects in van der Waals heterostructures
- Strong tuning of Rashba spin orbit interaction in single InAs nanowires
- Origin and magnitude of 'designer' spin-orbit interaction in graphene on semiconducting transition metal dichalcogenides
- Tunable spin-orbit coupling and symmetry-protected edge states in graphene/WS
- Quantum Kinetic Theory of Current-Induced Torques in Rashba Ferromagnets
- Ultrafast Hole Spin Qubit with Gate-Tunable Spin-Orbit Switch
- The angular spin current and its physical consequences
- The definition of the spin current: The angular spin current and its physical consequences
- Proximity induced room-temperature ferromagnetism in graphene probed with spin currents
- Strong electron-hole symmetric Rashba spin-orbit coupling in graphene/monolayer transition metal dichalcogenide heterostructures
- Current-induced torques and interfacial spin-orbit coupling
- Equilibrium spin currents: Non-Abelian gauge invariance and color diamagnetism in condensed matter
- SU(2)xU(1) unified theory for charge, orbit and spin currents
- Persistent spin current in nano-devices and definition of the spin current
- Current-induced torques in the presence of spin-orbit coupling
- Gate-controlled spin-orbit interaction in a parabolic GaAs/AlGaAs quantum well
- Gate-tunable spin-charge conversion and a role of spin-orbit interaction in graphene
- Large voltage-induced modification of spin-orbit torques in Pt/Co/GdOx
- Control of current-induced spin-orbit effects in a ferromagnetic heterostructure by electric field
- Spin Accumulation and Equilibrium Currents at the Edge of 2DEGs with Spin-Orbit Coupling
- Tunable inverse spin Hall effect in nanometer-thick platinum films by ionic gating
- Spin Dynamics and Spin Transport
- Equilibrium spin currents in the Rashba medium
- Tunable spin-gaps in a quantum-confined geometry
- Theory of Edge States in Systems with Rashba Spin-Orbit Coupling
- Absence of equilibrium edge currents in theoretical models of topological insulators
- Equilibrium edge spin currents in two-dimensional electron systems with spin-orbit interaction
- Spin edge states: an exact solution and oscillations of the spin current
- Spin torque and persistent currents caused by percolation of topological surface states
- Persistent currents and spin torque caused by percolated quantum spin Hall state