An integrable model for the integer quantum Hall transition I: The vertex model
Abstract
In this study, an integrable vertex model based on the quantum affine superalgebra Uq(gl(2|2)) is constructed. The model is characterized by a particular assignment of spectral parameters and lowest as well as highest weight Uq(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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