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

1995/12/06 by Yasuhiro Hatsugai, Hatsugai, Yasuhiro, Mahito Kohmoto +5
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Condensed Matter (cond-mat) #FOS: Physical sciences #Quantum many-body systems #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.cond-mat/9512037

openalex publication_date 1995/12/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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