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

TL;DR

This paper employs tensor network algorithms to map out the phase diagram of the frustrated J1-J2 Heisenberg model on a checkerboard lattice, identifying distinct magnetic and valence bond phases with phase transitions.

Contribution

It introduces a tensor network approach to accurately determine the phase diagram of the J1-J2 model on a checkerboard lattice, clarifying the nature of various phases and transitions.

Findings

Identifies Neel, plaquette valence bond solid, and stripe phases.

Detects first-order phase transitions between these phases.

Rules out the cross-dimer state as the ground state.

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.