Solving the Schroedinger equation for the Sherrington-Kirkpatrick model in a transverse field

Details Solving the Schroedinger equation for the Sherrington-Kirkpatrick model in a transverse field Solving the Schroedinger equation for the Sherrington-Kirkpatrick model in a transverse field

1996-11-04

arxiv.org/abs/cond-mat/9611022v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 Pages + 4 figures, Revtex

Scientific paper

10.1088/0305-4470/30/4/001

By numerically solving the Schr\"oedinger equation for small sizes we investigate the quantum critical point of the infinite-range Ising spin glass in a transverse field at zero temperature. Despite its simplicity the method yields accurate information on the value of the critical field and critical exponents. We obtain $\Gamma_c=1.47\pm 0.01$ and check that exponents are in agreement with analytical approaches.

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