Rectification induced by geometry in two-dimensional quantum spin lattices

Abstract

We address the role of geometrical asymmetry in the occurrence of spin rectification in two-dimensional quantum spin chains subject to two reservoirs at the boundaries, modeled by quantum master equations. We discuss the differences in the rectification for some one-dimensional cases, and present numerical results of the rectification coefficient R for different values of the anisotropy parameter of the XXZ model, and different configurations of boundary drives, including both local and non-local dissipators. Our results also show that geometrical asymmetry, along with inhomogeneous magnetic fields, can induce spin current rectification even in the XX model, indicating that the phenomenon of rectification due to geometry may be of general occurrence in quantum spin systems.

6 pages, 11 figures

References in corpus (6)

• Thermal Conductivity and Thermal Rectification in Graphene Nanoribbons: a Molecular Dynamics Study
• Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
• Energy Rectification in Quantum Graded Spin Chains: Analysis of the XXZ Model
• Control of heat transport in quantum spin systems
• Rectification and One-Way Street for the Energy Current in Boundary-Driven Asymmetric Quantum Spin Chains
• One-way street for the energy current: A ubiquitous phenomenon in boundary-driven quantum spin chains