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- W2019989205 abstract "In a number of classical statistical-physical models, there exists a characteristic dimensionality called the upper critical dimension above which one observes the mean-field critical behavior. Instead of constructing high-dimensional lattices, however, one can also consider infinite-dimensional structures, and the question is whether this mean-field character extends to quantum-mechanical cases as well. We therefore investigate the transverse-field quantum Ising model on the globally coupled network and the Watts-Strogatz small-world network by means of quantum Monte Carlo simulations and the finite-size scaling analysis. We confirm that both the structures exhibit critical behavior consistent with the mean-field description. In particular, we show that the existing cumulant method has a difficulty in estimating the correct dynamic critical exponent and suggest that an order parameter based on the quantum-mechanical expectation value can be a practically useful numerical observable to determine critical behavior when there is no well-defined dimensionality." @default.
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- W2019989205 date "2011-11-18" @default.
- W2019989205 modified "2023-09-23" @default.
- W2019989205 title "Quantum Monte Carlo study of the transverse-field quantum Ising model on infinite-dimensional structures" @default.
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- W2019989205 doi "https://doi.org/10.1103/physrevb.84.174419" @default.
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