Y-B Chan (U of Melbourne)

Series expansions from the corner transfer matrix renormalization group method 

The corner transfer matrix renormalization group method is a powerful 
algorithm for evaluating physical quantities in statistical mechanical 
models. It was developed by Nishino and Okunishi in 1996, and
originates from Baxter's corner transfer matrix equations and method, 
which were developed in 1978. The method has been applied to numerous 
models since its development to great success, but as far as we know
has not been used to calculate series expansions 
(which Baxter did with his original method). In this talk, we discuss 
the CTM equations and method, the CTMRG method, and our work 
on this method which has enabled us to calculate series expansions from it.