Energy-gap analysis of quantum spin-glass transitions at zero temperature

Details Energy-gap analysis of quantum spin-glass transitions at zero temperature Energy-gap analysis of quantum spin-glass transitions at zero temperature

2010-04-13

arxiv.org/abs/1004.2221v1

J. Phys.: Conf. Ser. 233, 012008 (2010)

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 8 figures, Proceedings of the IW-SMI2010

Scientific paper

10.1088/1742-6596/233/1/012008

We study for random quantum spin systems the energy gap between the ground and first excited states to clarify a relation to the spin-glass-paramagnetic phase transition. We find that for the transverse Sherrington-Kirkpatrick model the vanishing of the averaged gap does not identify the transition. A power-law form of the gap distribution function leads to power-law distributions of the linear, spin-glass, and nonlinear susceptibilities. They diverge at different points, which we attribute to a quantum Griffiths mechanism. On the other hand, the classical treatment is justified for the transverse random energy model and the phase transition can be found by a sudden change of the ground state.

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