# Magnetization plateau and supersolid phases in the spin-1/2 antiferromagnetic Heisenberg model on a tetragonally distorted fcc lattice

## TL;DR

This study explores the ground states of a spin-1/2 antiferromagnetic Heisenberg model on a tetragonally distorted fcc lattice, revealing five supersolid phases and potential experimental realization in related compounds.

## Contribution

It introduces a large-size cluster mean-field approach to identify multiple supersolid phases in a distorted fcc lattice model, expanding understanding of frustrated spin systems.

## Key findings

- Five supersolid phases identified in the model.
- One supersolid phase resembles the coplanar phase in the XXZ triangular lattice.
- Potential for observing supersolid phases in related compounds.

## Abstract

The Heisenberg model on a face center cubic (fcc) lattice is a typical three-dimensional frustrated spin system expected to have magnetization plateaus and supersolid phases. There are model compounds $A_2$CoTeO$_6$ ($A$ = Ca, Sr, Pb) for the fcc lattice but with lattice distortions. Motivated by the presence of the compounds, we investigate the ground state of the spin-1/2 antiferromagnetic Heisenberg model on a tetragonally distorted fcc lattice in the magnetic field using a large-size cluster mean-field method for the sake of finding new supersolid phases. We find five supersolid phases in the model, indicating possibility to observe supersolid phases in these compounds. We also find that one of the supersolid phases is similar to the nonclassical coplanar phase obtained in the XXZ model on the triangular lattice.