Numerical study of magnetization plateaux in the spin-1/2 Heisenberg antiferromagnet on the checkerboard lattice

Abstract

We present numerical evidence that the spin-1/2 Heisenberg model on the two-dimensional checkerboard lattice exhibits several magnetization plateaux for m=0, 1/4, 1/2 and 3/4, where m is the magnetization normalized by its saturation value. These incompressible states correspond to somehow similar valence-bond crystal phases that break lattice symmetries, though they are different from the already established plaquette phase for m=0. Our results are based on Exact Diagonalization as well as Density Matrix Renormalization Group large-scale simulations, and interpreted in terms of simple trial wavefunctions.

published version

References in corpus (15)

• Identifying Topological Order by Entanglement Entropy
• Exact eigenstates and macroscopic magnetization jumps in strongly frustrated spin lattices
• Cyclic exchange, isolated states and spinon deconfinement in an XXZ Heisenberg model on the checkerboard lattice
• Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet
• Simplex solids in SU(N) Heisenberg models on the kagome and checkerboard lattices
• Bond order from disorder in the planar pyrochlore magnet
• Interfaces, Strings, and a Soft Mode in the Square Lattice Quantum Dimer Model
• The spin-1/2 Kagome XXZ model in a field: competition between lattice nematic and solid orders
• Bond order wave instabilities in doped frustrated antiferromagnets: "Valence bond solids" at fractional filling
• XY checkerboard antiferromagnet in external field
• Staircase of crystal phases of hard-core bosons on the Kagome lattice
• Multiple Magnetization Plateaus and the Magnetic Structures in $S=1/2$ Heisenberg Model on the Checkerboard Lattice
• Plaquette bond order wave in the quarter-filled extended Hubbard model on the checkerboard lattice
• Selection of factorizable ground state in a frustrated spin tube: Order by disorder and hidden ferromagnetism
• Exotic Mott phases of the extended t--J model on the checkerboard lattice at commensurate densities

Cited by in corpus (5)

• Quantum Skyrmion Lattices in Heisenberg Ferromagnets
• Magnetization plateau and supersolid phases in the spin-1/2 antiferromagnetic Heisenberg model on a tetragonally distorted fcc lattice
• Strong ferromagnetic fluctuations in a doped checkerboard lattice
• Magnetization Plateaus in the Two-dimensional S = 1/2 Heisenberg Model with a 3$\times$3 Checkerboard Structure
• Simplex Crystal Ground State and Magnetization Plateaus in the Spin-$1/2$ Heisenberg Model on the Ruby Lattice