Spinless fermion model on diamond chain

TL;DR

This paper extends the decoration transformation method to exactly solve the spinless fermion model on a diamond chain, analyzing its phase diagram and thermodynamic properties at zero temperature and various particle densities.

Contribution

It introduces a novel application of decoration transformation to interacting electron systems, specifically solving the spinless fermion model on a diamond chain exactly.

Findings

Exact solution of the model achieved

Phase diagram mapped at zero temperature

Thermodynamics analyzed for different densities

Abstract

The decoration or iteration transformation was widely applied to solve exactly the magnetic spin models in one-dimensional and two-dimensional lattice. The motif of this letter is to extend the decoration transformation approach for models that describe interacting electron systems instead of spin magnetic systems, one illustrative model to be studied, will be the spinless fermion model on diamond chain. Using the decoration transformation, we are able to solve this model exactly. The phase diagram of this model was explored at zero temperature as well as the thermodynamics properties of the model for any particle density. The particular case when particle-hole symmetry is satisfied was also discussed.