Numerical study of magnetization processes in rare-earth tetraborides

Abstract

We present a simple model for a description of magnetization processes in rare-earth tetraborides. The model is based on the coexistence of two subsystems, and namely, the spin subsystem described by the Ising model and the electronic subsystem described by the Falicov-Kimball model on the Shastry-Sutherland lattice (SSL). Moreover, both subsystems are coupled by the anisotropic spin-dependent interaction of the Ising type. We have found, that the switching on the spin-dependent interaction ($J_z$) between the electron and spin subsystems and taking into account the electron hopping on the nearest ($t$) and next-nearest ($t^{\prime }$) lattice sites of the SSL leads to a stabilization of new magnetization plateaus. In addition, to the Ising magnetization plateau at $m^{sp}/m_s^{sp}=1/3$ we have found three new magnetization plateaus located at $m^{sp}/m_s^{sp}=1/2$, 1/5 and 1/7 of the saturated spin magnetization $m_s^{sp}$. The ground-states corresponding to magnetization plateaus have the same spin structure consisting of parallel antiferromagnetic bands separated by ferromagnetic stripes.

5 pages, 6 figures

References in corpus (6)

• Fractional magnetization plateaus and magnetic order in the Shastry Sutherland magnet TmB4
• Effective Theory of Magnetization Plateaux in the Shastry-Sutherland Lattice
• 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
• Ground-state phase diagrams of the generalized Falicov-Kimball model with Hund coupling
• Charge Order in the Falicov-Kimball Model

Cited by in corpus (11)

• Ground States of the Ising Model on the Shastry-Sutherland Lattice and the Origin of the Fractional Magnetization Plateaus in Rare-Earth Tetraborides
• Ground states of an Ising model on an extended Shastry-Sutherland lattice and the 1/2-magnetization plateau in some rare-earth-metal tetraborides
• Exact ground states of a spin-1/2 Ising-Heisenberg model on the Shastry-Sutherland lattice in a magnetic field
• The competing spin orders and fractional magnetization plateaus of classical Heisenberg model on Shastry-Sutherland lattice: Consequence of long-range interactions
• Formation of charge and spin ordering in strongly correlated electron systems
• Simulations of Frustrated Ising Hamiltonians with Quantum Approximate Optimization
• Exact ground state of the Shastry-Sutherland lattice with classical Heisenberg spins
• Mutual information, quantum phase transition, and phase coherence in Kondo systems
• Fractional magnetization plateaux of a spin-1/2 Heisenberg model on the Shastry-Sutherland lattice: effect of quantum XY interdimer coupling
• Ground-state structures in Ising magnets on the Shastry-Sutherland lattice with long-range interactions and fractional magnetization plateaus in TmB4
• Magnetic phase diagram of the Ising model with the long-range RKKY interaction