Adiabatic limit of RKKY range function in one dimension

Abstract

The RKKY interaction is an important theoretical model for indirect exchange interaction in magnetic multilayer. The expression for RKKY range function in three dimension and lower has been derived in the 1950s. However, the expression for one dimension is still studied in recent years, due to its strong singularity. By using an adiabatic limit of retarded Green's function form that directly related to RKKY interaction in one dimension, we decompose the singularity and recover the range function. Furthermore, we show in adiabatic limit, RKKY interaction also induces one-dimensional spin pumping and distance-dependent magnetic damping.

6+ pages, 4 figures

References in corpus (4)

• Crystal field effects on spin pumping
• Voltage control of interface rare-earth magnetic moments
• Spin pumping into two-dimensional electron systems
• Effects of screened Coulomb interaction on spin transfer torque

Cited by in corpus (6)

• Stabilization and helicity control of hybrid magnetic skyrmion
• Hidden hyperspace geometry and long-distance quantum coupling
• Enhancement of spin mixing conductance by $s$-$d$ orbital hybridization in heavy metals
• Electrically controllable exchange bias via interface magnetoelectric effect
• Enhancement of thermal spin pumping by orbital angular momentum of rare earth iron garnet
• Spin-orbit torque on nuclear spins exerted by a spin accumulation via hyperfine interactions