INTEGRABLE CHAIN MODELS WITH STAGGERED R-MATRICES

摘要

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