An integrable model for the integer quantum Hall transition I: The vertex model

1999/08/28 by R. M. Gade, Gade, R. M.
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.cond-mat/9908421

21 pages, latex

openalex publication_date 1999/08/28 · arxiv created 2003/03/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this study, an integrable vertex model based on the quantum affine superalgebra U_q(gl(2|2)) is constructed. The model is characterized by a particular assignment of spectral parameters and lowest as well as highest weight U_q(gl(2|2) ) modules to its lattice links. Solutions of the corresponding intertwining conditions yield the Boltzmann weights. The set of mutually commuting charges contains a quantity equivalent to the super spin chain Hamiltonian proposed for the description of the integer quantum Hall transition.

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