Finite-temperature phase transition to $m=1/2$ plateau phase in a S=1/2 XXZ model on Shastry-Sutherland Lattices

Abstract

We study the finite-temperature transition to the $m=1/2$ magnetization plateau in a model of interacting $S=1/2$ spins with longer range interactions and strong exchange anisotropy on the geometrically frustrated Shastry-Sutherland lattice. This model was shown to capture the qualitative features of the field-induced magnetization plateaus in the rare-earth tetraboride, $\mathrm{Tm}{\mathrm{B}}_4$. Our results show that the transition to the plateau state occurs via two successive transitions with the two-dimensional Ising universality class, when the quantum exchange interactions are finite, whereas a single phase transition takes place in the purely Ising limit. To better understand these behaviors, we perform Monte Carlo simulations of the classical generalized four-state chiral clock model and compare the phase diagrams of the two models. Finally, we estimate a parameter set that can explain the magnetization curves observed in $\mathrm{Tm}{\mathrm{B}}_4$. The magnetic properties and critical behavior of the finite-temperature transition to the $m=1/2$ plateau state are also discussed.

11 pages, 15 figures

References in corpus (6)

• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Fractional magnetization plateaus and magnetic order in the Shastry Sutherland magnet TmB4
• Quantum Melting of Spin Ice: Emergent Cooperative Quadrupole and Chirality
• Order-N Cluster Monte Carlo Method for Spin Systems with Long-range Interactions
• Magnetization Plateau of Classical Ising Model on Shastry-Sutherland Lattice
• Magnetic properties of the spin-1/2 XXZ model on the Shastry-Sutherland lattice: Effect of long-range interactions

Cited by in corpus (13)

• Hysteretic magnetoresistance and unconventional anomalous Hall effect in the frustrated magnet TmB_4
• Ground states of an Ising model on an extended Shastry-Sutherland lattice and the 1/2-magnetization plateau in some rare-earth-metal tetraborides
• Origin of modulated phases and magnetic hysteresis in TmB_4
• The competing spin orders and fractional magnetization plateaus of classical Heisenberg model on Shastry-Sutherland lattice: Consequence of long-range interactions
• Columnar antiferromagnetic order and spin supersolid phase on the extended Shastry-Sutherland lattice
• Quadratic to linear magnetoresistance tuning in TmB4
• Magnetization plateaus and phase diagrams of the extended Ising model on the Shastry-Sutherland lattice: Effects of long-range interactions
• Noncollinear magnetic ordering in the Shastry-Sutherland Kondo lattice model: Insulating regime and the role of Dzyaloshinskii-Moriya interaction
• Phase Diagram of the Shastry-Sutherland Kondo Lattice Model with Classical Localized Spins: A Variational Calculation Study
• Magnetic phases in the S=1 Shastry-Sutherland model with uniaxial anisotropy
• Topological Hall effect in the Shastry-Sutherland lattice
• Observation of Unprecedented Fractional Magnetization Plateaus in a New Shastry-Sutherland Ising Compound
• Magnetization plateaus in generalized Shastry-Sutherland models