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

David Lancaster, Felix Ritort

cond-mat.dis-nnarXiv:cond-mat/9611022

Abstract

By numerically solving the Schröedinger 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 Γc=1.47 0.01 and check that exponents are in agreement with analytical approaches.

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