Abstract
We investigate the phase transition of the dodecahedron model on the square lattice. The model is a discrete analog of the classical Heisenberg model, which has continuous symmetry. In order to treat the large on-site degree of freedom , we develop a massively parallelized numerical algorithm for the corner transfer matrix renormalization group method, incorporating EigenExa, the high-performance parallelized eigensolver. The scaling analysis with respect to the cutoff dimension reveals that there is a second-order phase transition at with the critical exponents and . The central charge of the system is estimated as .
- Received 20 April 2020
- Accepted 3 September 2020
DOI:https://doi.org/10.1103/PhysRevE.102.032130
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