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• W4366086474 abstract "The phase transition of the classical Ising model on the Sierpiński carpet, which has the fractal dimension log_{3}^{}8≈1.8927, is studied by an adapted variant of the higher-order tensor renormalization group method. The second-order phase transition is observed at the critical temperature T_{c}^{}≈1.478. Position dependence of local functions is studied through impurity tensors inserted at different locations on the fractal lattice. The critical exponent β associated with the local magnetization varies by two orders of magnitude, depending on lattice locations, whereas T_{c}^{} is not affected. Furthermore, we employ automatic differentiation to accurately and efficiently compute the average spontaneous magnetization per site as a first derivative of free energy with respect to the external field, yielding the global critical exponent of β≈0.135." @default.
• W4366086474 created "2023-04-19" @default.
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• W4366086474 date "2023-04-17" @default.
• W4366086474 modified "2023-10-13" @default.
• W4366086474 title "Local and global magnetization on the Sierpiński carpet" @default.
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• W4366086474 doi "https://doi.org/10.1103/physreve.107.044108" @default.
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