Snapshot Observation for 2D Classical Lattice Models by Corner Transfer Matrix Renormalization Group
arXiv:cond-mat/0409445 · doi:10.1143/JPSJS.74S.111
Abstract
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.
4 pages, 8figures
References in corpus (1)
Cited by in corpus (12)
- New Trends in Density Matrix Renormalization
- Minimally entangled typical quantum states at finite temperature
- Tensor Network Algorithms: a Route Map
- Corner Transfer Matrix Renormalization Group Method Applied to the Ising Model on the Hyperbolic Plane
- Optimal sampling of dynamical large deviations via matrix product states
- Weak correlation effects in the Ising model on triangular-tiled hyperbolic lattices
- Optimal sampling of dynamical large deviations in two dimensions via tensor networks
- Partial lifting of degeneracy in the Ising antiferromagnet on the kagome lattice
- Collective Monte Carlo updates through tensor network renormalization
- Efficient Representation of Minimally Entangled Typical Thermal States in two dimensions via Projected Entangled Pair States
- Limitations of tensor network approaches for optimization and sampling: A comparison to quantum and classical Ising machines
- Measurement of entanglement entropy in the two-dimensional Potts model using wavelet analysis