Dynamical exchange interaction between localized spins out of equilibrium

TL;DR

This paper investigates how non-equilibrium conditions affect the electron-mediated exchange interaction between localized spins on a 2D surface, revealing dependencies on substrate polarization and excitation spectra.

Contribution

It introduces a model for the dynamical exchange interaction under non-equilibrium, highlighting the influence of substrate spin-polarization and anisotropy on the interaction's spatial behavior.

Findings

Interaction depends on substrate spin-polarization and excitation spectrum.

Spatial dependence includes sin(2k_FR)/(2k_FR) and sin(2k_FR)/(2k_FR)^2 components.

Anisotropic spin-polarization affects the decay and oscillation of the interaction.

Abstract

The electron mediated exchange interaction between local spins adsorbed on two-dimensional surface is studied under non-equilibrium conditions. The effective spin-spin interaction is found to depend both on the spin-polarization of the substrate and the excitation spectrum of the local spins. For spatially anisotropic spin-polarization of the substrate, the spatial dependence of the interaction comprise components decaying as sin(2k_FR)/(2k_FR) and sin(2k_FR)/(2k_FR)^2.