Title
"Exact results on the Ising model with randomness on the hexagonal lattice"
Sei Suzuki (Saitama Medical University)
Abstract
We study an Ising model on the hexagonal lattice with randomness where the interactions on vertical zig-zag bonds are constant and ferromagnetic and those on horizontal bonds are random. By the use of the transfer matrix, the model is mapped to a product of random matrices. We determine the critical temperature of a paramagnetic-ferromagnetic transition, making use of the Lyapunov exponent formula of a random matrix product. We also discuss critical properties of a transition.
