# Similarity of thermodynamic properties of Heisenberg model on triangular and kagome lattices

## TL;DR

This study develops a unified reduced model for the $J_1$-$J_2$ Heisenberg model on triangular and kagome lattices, showing that low-temperature thermodynamic properties and spin-liquid behavior are similar in both systems.

## Contribution

It introduces a simplified effective model that accurately captures low-temperature thermodynamics of both lattices, revealing shared spin-liquid characteristics.

## Key findings

- Low-$T$ thermodynamic properties are well represented by the reduced model.
- Similar variation of entropy and susceptibility in both models at low temperatures.
- Spin liquid characterized by vanishing Wilson ratio at low $T$.

## Abstract

Derivation of a reduced effective model allows for a unified treatment and discussion of the $J_1$-$J_2$ Heisenberg model on a triangular and kagome lattice. Calculating thermodynamic quantities, i.e. the entropy $s(T)$ and uniform susceptibility $\chi_0(T)$, numerically on systems up to effectively $N=48$ sites we show by comparing to full-model results that low-$T$ properties are well represented within the reduced model. Moreover, we find in the spin-liquid regime similar variation of $s(T)$ as well as $\chi_0(T)$ in both models down to $T \ll J_1$. In particular, the spin liquid appears to be characterized by Wilson ratio vanishing at low $T$, indicating on the low-lying singlet dominating over the triplet excitations.