Magnetic properties of the spin-1/2 XXZ model on the Shastry-Sutherland lattice: Effect of long-range interactions

TL;DR

This study explores the magnetic behavior of the spin-1/2 XXZ model on the Shastry-Sutherland lattice with long-range interactions, revealing phase transitions and magnetization plateaus relevant to experimental materials.

Contribution

It introduces an analysis of long-range interactions in the XXZ model on the Shastry-Sutherland lattice using quantum Monte Carlo, highlighting new phase transition behaviors and magnetization plateaus.

Findings

Magnetization plateaus at 1/2 and 1/3 saturation levels.

First-order transition at 1/2 plateau, second-order at 1/3 plateau.

Two successive phase transitions with 2D Ising universality.

Abstract

We study magnetic properties of the $S=1/2$ Ising-like XXZ model on the Shastry-Sutherland lattices with long-range interactions, using the quantum Monte Carlo method. This model shows magnetization plateau phases at one-half and one-third of the saturation magnetization when additional couplings are considered. We investigate the finite temperature transition to one-half and one-third plateau phases. The obtained results suggest that the former case is of the first order and the latter case is of the second order. We also find that the system undergoes two successive transitions with the 2D Ising model universality, although there is a single phase transition in the Ising limit case. Finally, we estimate the coupling ratio to explain the magnetization process observed in ${\rm TmB_4}$