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

Physics – Condensed Matter

Scientific paper

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Scientific paper

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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