Mutual Exclusion Statistics in the Exactly Solvable Model of the Mott Metal-Insulator Transition

TL;DR

This paper explores a solvable model of the Mott transition, revealing that the ground state can be described by a generalized ideal gas with mutual exclusion statistics, providing insights into spin-charge separation.

Contribution

It introduces an explicit example of mutual exclusion statistics in more than two dimensions within a solvable Mott transition model.

Findings

Ground state described by a generalized ideal gas of exclusons

Demonstrates mutual exclusion statistics between different species

Provides a new perspective on spin-charge separation

Abstract

We study statistical characterization of the many-body states in the exactly solvable model with internal degree of freedom in more than one dimension. The model exhibits the Mott metal-insulator transition. It is shown that the ground state is described by that of a generalized ideal gas of particles (called exclusons) which have mutual exclusion statistics between different species. In addition to giving a perspective view of spin-charge separation, the model constitutes an explicit example of mutual exclusion statistics in more than two dimensions.