Quantum fluctuation induced ordered phase in the Blume-Capel model

Details Quantum fluctuation induced ordered phase in the Blume-Capel model Quantum fluctuation induced ordered phase in the Blume-Capel model

2004-09-24

arxiv.org/abs/cond-mat/0409673v2

Journal of the Physical Society of Japan Vol. 74 No. 11, November, 2005 pp. 2957-2960

Physics

Condensed Matter

Statistical Mechanics

7 pages, 6 figures, corrected some typos

Scientific paper

10.1143/JPSJ.74.2957

We consider the Blume-Capel model with the quantum tunneling between the excited states. We find a magnetically ordered phase transition induced by quantum fluctuation in a model. The model has no phase transition in the corresponding classical case. Usually, quantum fluctuation breaks ordered phase as in the case of the transverse field Ising model. However, in present case, an ordered phase is induced by quantum fluctuation. Moreover, we find a phase transition between a quantum paramagnetic phase and a classical diamagnetic phase at zero temperature. We study the properties of the phase transition by using a mean field approximation (MFA), and then, by a quantum Monte Carlo method to confirm the result of the MFA.

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