Local spin Hall conductivity

Abstract

The spin Hall conductivity is usually calculated for periodic solids, while the knowledge of local contributions from inhomogeneous regions like interfaces or surfaces would be desirable. In this work we derive a local expression for the spin Hall conductivity of two-dimensional systems in analogy to the local anomalous Hall conductivity discussed recently. Our approach is applicable to heterogeneous fully bounded systems and nanoribbons with both open and periodic boundary conditions.

References in corpus (14)

• Quantum Spin Hall Effect in Graphene
• Universal Intrinsic Spin-Hall Effect
• Experimental observation of the spin-Hall effect in a two dimensional spin-orbit coupled semiconductor system
• Spin-orbit torques induced by interface-generated spin currents
• Mapping topological order in coordinate space
• Spin Transport at Interfaces with Spin-Orbit Coupling: Phenomenology
• Giant room temperature interface spin Hall and inverse spin Hall effects
• Spin-orbit torques in Co/Pt(111) and Mn/W(001) magnetic bilayers from first principles
• Spin Transport at Interfaces with Spin-Orbit Coupling: Formalism
• Direct and inverse spin-orbit torques
• Locality of the anomalous Hall conductivity
• Edge states reconstruction from strong correlations in quantum spin Hall insulators
• Theory of conserved spin current and its application to two dimensional hole gas
• Geometric and nongeometric contributions to the surface anomalous Hall conductivity

Cited by in corpus (5)

• Discovery of Higher-Order Topological Insulators using the Spin Hall Conductivity as a Topology Signature
• Non-Collinear Spin Current for Switching of Chiral Magnetic Textures
• Theory of local ${\mathbb{Z}}_2$ topological markers for finite and periodic two-dimensional systems
• Staggered spin Hall conductivity
• Topological characterization of modified Kane-Mele-Rashba models via local spin Chern marker