Clifford statistics and the temperature limit in the theory of fractional quantum Hall effect

2002/01/09 by Andrei Galiautdinov, Galiautdinov, Andrei A.
Physics and Astronomy · Computer Science · Mathematics · #Quantum and electron transport phenomena #Quantum Computing Algorithms and Architecture #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.hep-th/0201052

Abstract

Using the recently discovered Clifford statistics we propose a simple model for the grand canonical ensemble of the carriers in the theory of fractional quantum Hall effect. The model leads to a temperature limit associated with the permutational degrees of freedom of such an ensemble. We also relate Schur's theory of projective representations of the permutation groups to physics, and remark on possible extensions of the second quantization procedure.

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