Effect of Quantum Fluctuations in an Ising System on Small-World Networks

Details Effect of Quantum Fluctuations in an Ising System on Small-World Networks Effect of Quantum Fluctuations in an Ising System on Small-World Networks

2002-12-11

arxiv.org/abs/cond-mat/0212243v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures

Scientific paper

10.1103/PhysRevE.67.056125

We study quantum Ising spins placed on small-world networks. A simple model is considered in which the coupling between any given pair of spins is a nonzero constant if they are linked in the small-world network and zero otherwise. By applying a transverse magnetic field, we have investigated the effect of quantum fluctuations. Our numerical analysis shows that the quantum fluctuations do not alter the universality class at the ferromagnetic phase transition, which is of the mean-field type. The transition temperature is reduced by the quantum fluctuations and eventually vanishes at the critical transverse field $\Delta_c$. With increasing rewiring probability, $\Delta_c$ is shown to be enhanced.

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