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- W2890891130 abstract "A spin-glass transition has been investigated for a long time but we have not yet reached a conclusion due to difficulties in the simulations. They are slow dynamics, strong finite-size effects, and sample-to-sample dependences. We clarified that these difficulties are mainly caused by a competition between the spin-glass order and the boundary conditions. We also found that the spin-glass order grows fast and reaches the lattice boundary within a very short Monte Carlo step. A key to solve the difficulties is to eliminate the boundary effect first. It was made possible by a dynamic scaling analysis on nonequilibrium relaxation functions in a large-size and short-time regime. The observed quantity was also found to be self-averaging in a limit of large replica number. The spin-glass transition and the chiral-glass transition was clarified to occur at the same temperature in the Heisenberg spin-glass model in three dimensions. The estimated critical exponent $nu$ agrees with the experimental result." @default.
- W2890891130 created "2018-09-27" @default.
- W2890891130 creator A5051641380 @default.
- W2890891130 date "2019-02-04" @default.
- W2890891130 modified "2023-09-24" @default.
- W2890891130 title "Strategy for solving difficulties in spin-glass simulations" @default.
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- W2890891130 doi "https://doi.org/10.1103/physreve.99.023301" @default.
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- W2890891130 hasPublicationYear "2019" @default.
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