Ground states of an Ising model on an extended Shastry-Sutherland lattice and the 1/2-magnetization plateau in some rare-earth-metal tetraborides

Abstract

A complete solution of the ground-state problem for an Ising model on the Shastry-Sutherland lattice with an additional interaction along the diagonals of "empty" squares in an applied magnetic field is presented. A rigorous proof is given that this interaction gives rise to a plateau at one-half of the saturation magnetization. Such a fractional plateau has been observed in some rare-earth-metal tetraborides, in particular, in strong Ising magnets ErB4 (where it is the only one) and TmB4 (where it is the broadest one), but its origin has remained unclear. Our study sheds new light on the solution of this problem.

15 pages, 20 figures, submitted to Physical Review B

References in corpus (5)

• Fractional magnetization plateaus and magnetic order in the Shastry Sutherland magnet TmB4
• Ground States of the Ising Model on the Shastry-Sutherland Lattice and the Origin of the Fractional Magnetization Plateaus in Rare-Earth Tetraborides
• Magnetization Plateau of Classical Ising Model on Shastry-Sutherland Lattice
• Columnar antiferromagnetic order and spin supersolid phase on the extended Shastry-Sutherland lattice
• Chiral surfaces self-assembling in one-component systems with isotropic interactions

Cited by in corpus (9)

• Electronic Transport on the Shastry-Sutherland Lattice in Ising-type Rare Earth Tetraborides
• Exact ground states of a spin-1/2 Ising-Heisenberg model on the Shastry-Sutherland lattice in a magnetic field
• Field Induced Magnetic States in Holmium Tetraboride
• Magnetization plateaus and phase diagrams of the extended Ising model on the Shastry-Sutherland lattice: Effects of long-range interactions
• Ground-state structures in Ising magnets on the Shastry-Sutherland lattice with long-range interactions and fractional magnetization plateaus in TmB4
• Possible stripe phases in the multiple magnetization plateaus in TbB${}_4$ derived from single-crystal neutron diffraction under pulsed high magnetic fields
• Magnetic phase diagram of the Ising model with the long-range RKKY interaction
• Ashkin-Teller criticality and weak-first-order behavior of phase transition to four-fold degenerate state in two-dimensional frustrated Ising antiferromagnets
• Criticality and magnetic phases of Ising Shastry-Sutherland candidate holmium tetraboride