Tensor network simulation of phase diagram of frustrated J1-J2 Heisenberg model on a checkerboard lattice

Abstract

We use the recently developed tensor network algorithm based on infinite projected entangled pair states (iPEPS) to study the phase diagram of frustrated antiferromagnetic J1-J2 Heisenberg model on a checkerboard lattice. The simulation indicates a Neel ordered phase when J2 < 0.88J1, a plaquette valence bond solid state when 0.88 < J2/J1 < 1.11, and a stripe phase when J2 > 1.11J1, with two first-order transitions across the phase boundaries. The calculation shows the cross-dimer state proposed before is unlikely to be the ground state of the model, although such a state indeed arises as a metastable state in some parameter region.

4 pages, 5 figures

References in corpus (4)

• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet
• Bond order from disorder in the planar pyrochlore magnet
• Assessing the accuracy of projected entangled-pair states on infinite lattices

Cited by in corpus (13)

• The frustrated Heisenberg antiferromagnet on the checkerboard lattice: the $J_1$--$J_2$ model
• Abundance of hard-hexagon crystals in the quantum pyrochlore antiferromagnet
• Free coherent spinons in quantum square ice
• Numerical study of magnetization plateaux in the spin-1/2 Heisenberg antiferromagnet on the checkerboard lattice
• A frustrated spin-1/2 Heisenberg antiferromagnet on a chevron-square lattice
• Quantum phase diagram of two-dimensional transverse field Ising model: unconstrained tree tensor network and mapping analysis
• Phase diagram of J1-J2 transverse field Ising model on the checkerboard lattice: a plaquette-operator approach
• Evidence of spin liquid with hard-core bosons in a square lattice
• Fractionalized Altermagnets: from neighboring and altermagnetic spin-liquids to spin-symmetric band splitting
• Nearly degenerate ground states of a checkerboard antiferromagnet and their bosonic interpretation
• Ground-state phase structure of the spin-$\frac{1}{2}$ anisotropic planar pyrochlore
• Multi-$Q$ magnetic phases from frustration and chiral interactions
• A frustrated spin-1 $J_1$--$J_2$ Heisenberg antiferromagnet: An anisotropic planar pyrochlore model