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

R. M. Gade

paper

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

arXiv:cond-mat/9908421

Abstract

In this study, an integrable vertex model based on the quantum affine superalgebra $U_{q} (g l^(2∣2))$ is constructed. The model is characterized by a particular assignment of spectral parameters and lowest as well as highest weight $U_{q} (g l (2∣2))$ 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.

21 pages, latex