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 O(3) symmetry. In… Click to show full 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 O(3) symmetry. In order to treat the large on-site degree of freedom q=20, 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 T_{c}^{}=0.4398(8) with the critical exponents ν=2.88(8) and β=0.21(1). The central charge of the system is estimated as c=1.99(6).
               
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