English

Integrable chain models with staggered R-matrices

Mesoscale and Nanoscale Physics 2007-05-23 v1 Disordered Systems and Neural Networks High Energy Physics - Theory Exactly Solvable and Integrable Systems

Abstract

The technique of construction on Manhattan lattice (ML) the fermionic action for Integrable models is presented. The Sign-Factor of 3D Ising model (SF of 3DIM) and Chalker-Coddington-s phenomenological model (CCM) for the edge excitations in Hall effect are formulated in this way. The second one demonstrates the necessity to consider the inhomogeneous models with staggered R-matrices. The disorder over the U(1) phases is taken into account and staggered Hubbard type of model is obtained. The technique is developed to construct the integrable models with staggered R-matrices. The disorder over the U(1) phases is taken into account and staggered Hubbard type of model is obtained. The technique is developed to construct the integrable models with staggered disposition of R-matrices.

Cite

@article{arxiv.cond-mat/0112077,
  title  = {Integrable chain models with staggered R-matrices},
  author = {A. Sedrakyan},
  journal= {arXiv preprint arXiv:cond-mat/0112077},
  year   = {2007}
}

Comments

12 pages, 2 figures, contribution to the proceedings of Advanced NATO Workshop on Statistical Field Theories, Como, June 18-23, 2001