English

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

Mesoscale and Nanoscale Physics 2007-05-23 v2 Disordered Systems and Neural Networks

Abstract

In this study, an integrable vertex model based on the quantum affine superalgebra Uq(gl^(22))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 Uq(gl(22))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.

Keywords

Cite

@article{arxiv.cond-mat/9908421,
  title  = {An integrable model for the integer quantum Hall transition I: The vertex model},
  author = {R. M. Gade},
  journal= {arXiv preprint arXiv:cond-mat/9908421},
  year   = {2007}
}

Comments

21 pages, latex