Magnetic chains with twisted long range interactions in transition metal dichalcogenide flakes

Achieving tunable magnetic order in 1D magnetic chains could have important implications in systems which require custom-made order such as spin-wire bits, Majorana bound states, and time crystals. We present a study of an ensemble of magnetic impurities (MI) set close to the edges of MoS₂ flakes, showing that order is possible and tunable. It has been shown that these MIs interact effectively through the RKKY interaction, leading to large Dzyaloshinskii-Moriya and long-ranged interactions terms [1]. This behavior and the experimental availability of such flakes, make these systems a unique platform for the study of MI chains with long-range stable phases. We present here studies of the ground state of the system using a classical Hamiltonian with different parameters and compare them to fully quantum DMRG calculations for the same system. The ensemble of MIs along the edges results indeed in stable magnetic ordering with helical arrangements, with unique properties and defined phase transition points. We show that the ordering is tunable, via the concentration of MIs, their separation and/or the Fermi level of the flake, all experimentally achievable parameters.

[1] O. Ávalos-Ovando et al., PRB 93, 161404 (2016).