Indirect exchange interaction between magnetic adatoms in a monolayer MoS2

TL;DR

This paper investigates the RKKY interaction in monolayer MoS2, revealing how spin-orbit coupling and doping influence the magnetic interactions between adatoms, including oscillation patterns and decay behavior.

Contribution

It provides a detailed analysis of the RKKY interaction in monolayer MoS2, highlighting the effects of spin-orbit coupling and doping on the interaction's form and oscillation characteristics.

Findings

Interaction includes Heisenberg, Dzyaloshinsky-Moriya, and Ising terms.

Doping causes oscillations of the interaction with impurity distance.

Interaction decays as R^{-2} at long distances.

Abstract

We study the Ruderman-Kittle-Kasuya-Yosida (RKKY) interaction in a monolayer MoS$_2$. We show that the rotation of the itinerant electron spin due to the spin-orbit coupling causes a twisted interaction between two magnetic adatoms which consists of different RKKY coupling terms, the Heisenberg, Dzyaloshinsky-Moriya and Ising interactions. We find that the interaction terms are very sensitive to the Fermi energy values and change dramatically from doped to undoped systems. A finite doping causes that all parts of the interaction oscillate with the distance of two magnetic impurities, $R$ and the interaction behaves like $R^{-2}$ for the long distance between two localized spins. We explore a beating pattern of oscillations of the RKKY interaction which occurs for the doped system.