Integrable models with staggered disposition of R-matrices:
Application to the Hall Effect
Starts 22 Jan 2004 11:00
Ends 22 Jan 2004 20:00
Central European Time
Strada Costiera, 11
I - 34151 Trieste (Italy)
A brief review of the Algebraic Bethe Ansatz (ABA) technique and
the application to integrable models with staggered disposition of
R-matrices will be presented.
A set of integrable ladder models based on this generalization of ABA
will be formulated.
The motivation for consideration of integrable models with staggered
disposition of R-matrices comes from the phenomenological
Chalker-Coddington (CC) model of edge excitations in quantum Hall effect,
responsible for plateau-plateau transitions. We present the Action
formulation of the CC model and average the Landauer resistance over U(1) phase
disorder. It appears, that the resultant model is integrable since
corresponding Yang-Baxter equations are satisfied.