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Mutual Exclusion Statistics in the Exactly Solvable Model of the Mott Metal-Insulator Transition
Yasuhiro Hatsugai, Mahito Kohmoto, Tohru Koma +1
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…
Hidden Massive Spectators in the Effective Field Theory for Integral Quantum Hall Transitions
Yasuhiro Hatsugai, Mahito Kohmoto, Yong-Shi Wu
Integral quantum Hall plateau transitions in a planar lattice system due to gap collapse can be described by an effective field theory with Dirac fermions. We discuss how to reprod…
Quantum Group, Bethe Ansatz and Bloch Electrons in a Magnetic Field
Y. Hatsugai, M. Kohmoto, Y. -S. Wu
The wave functions for two dimensional Bloch electrons in a uniform magnetic field at the mid-band points are studied with the help of the algebraic structure of the quantum group…