Thermodynamics and phase transitions for the Heisenberg model on the pinwheel distorted kagome lattice

TL;DR

This study investigates the thermodynamic behavior and phase transitions of the Heisenberg model on a pinwheel distorted kagome lattice, providing insights into the stability of the ground state and the effects of lattice distortions.

Contribution

The paper introduces a numerical linked-cluster expansion approach for finite-temperature properties and a zero-temperature method to analyze phase transitions in the kagome lattice Heisenberg model.

Findings

Evidence of a phase transition before reaching the uniform kagome limit

The ground state is likely not pinwheel dimerized and remains stable against perturbations

Finite-temperature thermodynamic properties are computed for the model

Abstract

We study the Heisenberg model on the pinwheel distorted kagome lattice as observed in the material Rb_2Cu_3SnF_12. Experimentally relevant thermodynamic properties at finite temperatures are computed utilizing numerical linked-cluster expansions. We also develop a Lanczos-based, zero-temperature, numerical linked cluster expansion to study the approach of the pinwheel distorted lattice to the uniform kagome-lattice Heisenberg model. We find strong evidence for a phase transition before the uniform limit is reached, implying that the ground state of the kagome-lattice Heisenberg model is likely not pinwheel dimerized and is stable to finite pinwheel-dimerizing perturbations.