Thermodynamics of the 2D Hubbard model

TL;DR

This paper uses the composite operator method to analyze the thermodynamic response functions of the 2D Hubbard model, successfully reproducing quantum Monte Carlo data and explaining anomalous properties in high-Tc cuprates, revealing multiple energy scales.

Contribution

It introduces a theoretical framework that explains thermodynamic features of the 2D Hubbard model and matches numerical data, highlighting multiple energy scales in the system.

Findings

Quantum Monte Carlo data for energy and specific heat are well reproduced.

The model explains anomalous properties of hole-doped cuprates.

Response functions show crossing points indicating multiple energy scales.

Abstract

A theoretical analysis of the thermodynamic response functions of the 2D single-band Hubbard model is realized by means of the composite operator method. It is shown that all the features of these quantities can be explained by looking at the dependence of the thermodynamic variables on their conjugate ones. It is found that the numerical data from quantum Monte Carlo techniques for the internal energy and electronic specific heat are well reproduced. The anomalous normal state properties in hole-doped cuprate high Tc superconductors are also well described. Actually, the results for the linear coefficient of the electronic specific heat are in agreement with those obtained by using a pure fermionic theoretical scheme. Finally, we obtain several characteristic crossing points for the response functions when reported as functions of some thermodynamic variables. These peculiar features indicate the existence of more than one energy scale competing with thermal excitations in the 2D Hubbard model.