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

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arxiv cond-mat/0409445 v1 pith:CESKX4LA submitted 2004-09-17 cond-mat.stat-mech

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

classification cond-mat.stat-mech
keywords matrixgrouprenormalizationclassicalcornerctmrglatticemodels
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We report a way of obtaining a spin configuration snapshot, which is one of the representative spin configurations in canonical ensemble, in a finite area of infinite size two-dimensional (2D) classical lattice models. The corner transfer matrix renormalization group (CTMRG), a variant of the density matrix renormalization group (DMRG), is used for the numerical calculation. The matrix product structure of the variational state in CTMRG makes it possible to stochastically fix spins each by each according to the conditional probability with respect to its environment.

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