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Quantum-inspired search method for low-energy states of classical Ising Hamiltonians
Hiroshi Ueda, Yuichi Otsuka, Seiji Yunoki
We develop a quantum-inspired numerical procedure for searching low-energy states of a classical Hamiltonian composed of two-body fully-connected random Ising interactions and a ra…
Corner transfer matrix renormalization group analysis of the two-dimensional dodecahedron model
Hiroshi Ueda, Kouichi Okunishi, Seiji Yunoki +1
We investigate the phase transition of the dodecahedron model on the square lattice. The model is a discrete analogue of the classical Heisenberg model, which has continuous …
Finite- scaling analysis of Berezinskii-Kosterlitz-Thouless phase transitions and entanglement spectrum for the six-state clock model
Hiroshi Ueda, Kouichi Okunishi, Kenji Harada +4
We investigate the Berezinskii-Kosterlitz-Thouless transitions for the square-lattice six-state clock model with the corner-transfer matrix renormalization group (CTMRG). Scaling a…
Critical behavior of the two-dimensional icosahedron model
Hiroshi Ueda, Kouichi Okunishi, Roman Krčmár +3
In the context of a discrete analogue of the classical Heisenberg model, we investigate critical behavior of the icosahedron model, where the interaction energy is defined as the i…