Electronic structure, magnetic properties, spin orientation, and doping effect in Mn$_3$Si$_2$Te$_6$

TL;DR

This study uses density functional theory and Monte Carlo methods to explore the electronic, magnetic, and doping effects in Mn$_3$Si$_2$Te$_6$, revealing insulator-metal transitions, magnetic phase behavior, and doping impacts on properties.

Contribution

It provides a comprehensive analysis of Mn$_3$Si$_2$Te$_6$'s electronic and magnetic properties, including the effects of spin orientation and doping, which were not previously detailed.

Findings

Spin orientation controls insulator-metal transition.

Doping alters magnetic anisotropy and electronic phases.

Colossal angular magnetoresistance is affected by doping.

Abstract

The layered material Mn$_3$Si$_2$Te$_6$, with alternating stacking honeycomb and triangular layers, is attracting considerable attention due to its rich physical properties. Here, using density functional theory and classical Monte Carlo (MC) methods, we systematically study this system. Near the Fermi level, the states are mainly contributed by Te $5p$ orbitals hybridized with Mn $3d$ orbitals, resembling a charge transfer system. Furthermore, the spin orientations of the ferrimagnetic (FiM) ground state display different conductive behaviors when along the $ab$ plane or out-of-plane directions: insulating vs. metallic states. The energy difference between the FiM [110] insulating and FiM [001] metallic phases is very small($ \sim 0.71$ meV/Mn). Changing the angle $\theta$ of spin orientation from in-plane to out-of-plane directions, the band gaps of this system are gradually reduced, leading to an insulator-metal transition, resulting in an enhanced electrical conductivity, related to the colossal angular magnetoresistance (MR) effect. In addition, we also constructed the magnetic phase diagram using the classical $XY$ spin model studied with the MC method. Three magnetic phases were obtained including antiferromagnetic order, noncollinear spin patterns, and FiM order. Moreover, we also investigated the Se- and Ge- doping into the Mn$_3$Si$_2$Te$_6$ system: the FiM state has the lowest energy among the magnetic candidates for both Se- or Ge- doped cases. The magnetic anisotropy energy (MAE) decreases in the Se-doped case because the Mn orbital moment is reduced as the doping $x$ increases. Due to the small spin-orbital coupling effect of Se, the insulator-metal transition caused by the spin orientation disappears in the Se-doped case, resulting in an insulating phase in the FiM [001] phase. This causes a reduced colossal angular MR.