Rectification induced by geometry in two-dimensional quantum spin lattices

TL;DR

This paper investigates how geometrical asymmetry influences spin current rectification in two-dimensional quantum spin lattices, revealing that geometry and magnetic fields can induce rectification even in simple models.

Contribution

It demonstrates that geometrical asymmetry and inhomogeneous magnetic fields can induce spin rectification in quantum spin systems, including the XX model, expanding understanding of rectification mechanisms.

Findings

Rectification depends on boundary conditions and anisotropy parameters.

Geometrical asymmetry can induce rectification even in the XX model.

Rectification is influenced by boundary drive configurations.

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.