# Finite Temperature Properties of Geometrically Charge Frustrated Systems

## TL;DR

This study investigates how geometrical frustration and Coulomb interactions influence charge order and fluctuations in a two-dimensional fermion system at finite temperatures, revealing complex behaviors relevant to organic conductors.

## Contribution

It provides a detailed numerical analysis of charge order fluctuations and phase transitions in frustrated fermion systems with long-range interactions.

## Key findings

- Large charge fluctuations in highly frustrated regions
- Recovery of non-stripe charge order with long-range Coulomb interactions
- Relevance to glass-like behavior in organic conductors

## Abstract

We theoretically study finite temperature properties of interacting fermion systems under geometrical frustration in the charge degree of freedom. Physical quantities such as charge structure factors, the specific heat, and the entropy, of the two-dimensional model of interacting spinless fermions on an anisotropic triangular lattice are numerically calculated using the thermal pure quantum state. By considering the Coulomb interactions up to the next-nearest-neighbor bonds, we elucidate that in the highly frustrated region where a long-period stripe-type charge order (CO) is the ground state, fluctuations of different stripe-type CO patterns become large at finite temperatures. When we further introduce $1/r$-type long-range Coulomb interactions, the ground state unexpectedly recovers the non-stripe-type 3-fold CO pattern characteristic of triangular lattice models with short-range interactions. Our results imply that the BEDT-TTF-based organic conductors exhibiting glass-like behavior locates in the region of the intermediate strength of long-range interactions, where both the stripe- and non-stripe-type CO fluctuations are prominent.