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Quantum phase transition of the transverse-field quantum Ising model on scale-free networks
1Department of Physics, Soongsil University, Seoul 156-743, Korea and Institute for Integrative Basic Sciences, Soongsil University, Seoul 156-743, Korea.
Abstract:
I investigate the quantum phase transition of the transverse-field quantum Ising model in which nearest neighbors are defined according to the connectivity of scale-free networks. Using a continuous-time quantum Monte Carlo simulation method and the finite-size scaling analysis, I identify the quantum critical point and study its scaling characteristics. For the degree exponent λ=6, I obtain results that are consistent with the mean-field theory. For λ=4.5 and 4, however, the results suggest that the quantum critical point belongs to a non-mean-field universality class. Further simulations indicate that the quantum critical point remains mean-field-like if λ>5, but it continuously deviates from the mean-field theory as λ becomes smaller.
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