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

R. M. Gade

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arXiv · cond-mat/9908421

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

R. M. Gade

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Abstract

In this study, an integrable vertex model based on the quantum affine superalgebra $U_q\bigl(\hat{gl}(2|2)\bigr)$ is constructed. The model is characterized by a particular assignment of spectral parameters and lowest as well as highest weight $U_q\bigl(gl(2|2) \bigr)$ 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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R. M. Gade. 2003-03-24. An integrable model for the integer quantum Hall transition I: The vertex model. https://arxiv.org/abs/cond-mat/9908421

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