Snapshot Observation for 2D Classical Lattice Models by Corner Transfer Matrix Renormalization Group

摘要

We report a way of obtaining a spin configuration snapshot, which is one ofthe representative spin configurations in canonical ensemble, in a finite areaof infinite size two-dimensional (2D) classical lattice models. The cornertransfer matrix renormalization group (CTMRG), a variant of the density matrixrenormalization group (DMRG), is used for the numerical calculation. The matrixproduct structure of the variational state in CTMRG makes it possible tostochastically fix spins each by each according to the conditional probabilitywith respect to its environment.