Dynamical correlations in the Sherrington-Kirkpatrick model in a transverse field

Details Dynamical correlations in the Sherrington-Kirkpatrick model in a transverse field Dynamical correlations in the Sherrington-Kirkpatrick model in a transverse field

2008-09-10

arxiv.org/abs/0809.1730v2

Phys. Rev. B 78, 174415 (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, 5 figures; title changed, minor changes

Scientific paper

10.1103/PhysRevB.78.174415

We calculate the real-time-correlation function of the Sherrington-Kirkpatrick spin-glass model in a transverse field. Using a careful analysis of the perturbative expansion of the functional-integral representation, we derive the asymptotic form of the correlation function. In contrast to the previous works, we find for large transverse field a power-law decay of the correlation with time $t$ as $t^{-3/2}$ at zero temperature and $t^{-2}$ at infinite temperature. At the small field region, we also find a significant change in the correlation which comes from the structural difference between two paramagnetic phases.

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