Integrable chain models with staggered R-matrices

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.

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

References in corpus (7)

• Fermionic R-Operator and Integrability of the One-Dimensional Hubbard Model
• Integrable Chain Model with Additional Staggered Model Parameter
• Edge Excitations of an Incompressible Fermionic Liquid in a Disorder Magnetic Field
• Fermionisation of the Spin-S Uimin-Lai-Sutherland Model: Generalisation of Supersymmetric t-J Model to Spin-S
• Staggered Anisotropy Parameter Modification of the Anisotropic $t-J$ Model
• Integrable Ladder t-J Model with Staggered Shift of the Spectral Parameter
• Generalization of the U_q(gl(N)) algebra and staggered models

Cited by in corpus (4)

• On the theory of plateau-plateau transitions in Quantum Hall Effect
• Characteristics of 2D lattice models from fermionic realization: Ising and $XYZ$ models
• Multi-leg integrable ladder models
• An Integrable Model with non-reducible three particle R-Matrix