Adiabatic limit of RKKY range function in one dimension
Adam B. Cahaya
TL;DR
This paper derives the RKKY range function in one dimension using an adiabatic limit approach, addressing its singularity and revealing its effects on spin pumping and magnetic damping.
Contribution
It introduces a novel adiabatic limit method to analyze the one-dimensional RKKY interaction, resolving singularity issues and exploring its dynamic magnetic effects.
Findings
Derived the 1D RKKY range function using adiabatic limit
Resolved the singularity in the 1D RKKY expression
Showed RKKY interaction induces spin pumping and magnetic damping
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.
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