The Tangent Space to the Manifold of Critical Classical Hamiltonians Representable by Tensor Networks

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.

References in corpus (5)

• Tensor renormalization group approach to 2D classical lattice models
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• A Variational Approach to Monte Carlo Renormalization Group
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Cited by in corpus (1)

• Continuous-time Monte Carlo Renormalization Group