Tangent space to the manifold of critical classical Hamiltonians representable by tensor networks.
basic_science · Level V
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- Record sourced from PubMed, PMID 31574761.
- Also identified by DOI 10.1103/PhysRevE.100.023306.
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Abstract
We introduce a scheme to perform Monte Carlo renormalization group with the coupling constants of the system Hamiltonian encoded in a tensor network. With this scheme we compute the tangent space to the manifold of the critical Hamiltonians representable by a tensor network at the nearest-neighbor critical coupling for three models: the two- and three-dimensional Ising models and the two-dimensional three-state Potts model.