Simulations for the Extended Hubbard Model Utilizing Nonextensive Statistical Mechanics

TL;DR

This paper uses nonextensive statistical mechanics to simulate thermodynamic and magnetic properties of a two-site Hubbard model with two electrons, exploring the effects of varying the entropic index q.

Contribution

It introduces a novel application of nonextensive statistical mechanics to simulate a two-electron Hubbard model, analyzing the impact of intersite interactions.

Findings

Intersite interaction shifts thermodynamic curves

Varying q affects magnetic and thermodynamic parameters

Simulations reveal sensitivity to nonextensive parameter q

Abstract

We introduce an investigation about M dimers through half-filled two-site Hubbard model, that is, with two electrons. We utilize the third version of nonextensive statistical mechanics as tool for cal-culating thermodynamical and magnetic parameters as entropy, internal energy and specific heat. By making computer simulations, we vary the q entropic index values between 1 and 2: q=1.1, 1.3, 1.5, 1.7 and 2.0. These values are interesting to study magnetic small systems. We find that the addition of intersite interaction term causes a shifting of all simulated curves in relation to simple Hubbard model.