Inhomogeneous charge ordering of a spinless fermionic system on the Bethe lattice

TL;DR

This paper investigates a spinless fermionic system on the Bethe lattice, revealing a phase transition to charge order and analyzing thermodynamic properties across the phase diagram.

Contribution

It introduces a detailed analysis of charge ordering and phase transitions in a spinless fermion model on the Bethe lattice, including thermodynamic behavior.

Findings

System exhibits a phase transition to charge order.

Derived the phase diagram in the particle density-temperature plane.

Analyzed thermodynamic quantities like free energy and specific heat.

Abstract

We show that a system of spinless Fermi particles, localized on the sites of the Bethe lattice with coordination number z and interacting through a repulsive nearest-neighbor interaction, exhibits a phase transition to a charge-ordered state. The phase diagram in the n-T plane is derived. Relevant thermodynamic quantities, such as the free energy, the specific heat, the entropy and the compressibility are analyzed in detail.