English

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

Disordered Systems and Neural Networks 2009-10-28 v1

Abstract

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 Γc=1.47±0.01\Gamma_c=1.47\pm 0.01 and check that exponents are in agreement with analytical approaches.

Keywords

Cite

@article{arxiv.cond-mat/9611022,
  title  = {Solving the Schroedinger equation for the Sherrington-Kirkpatrick model in a transverse field},
  author = {David Lancaster and Felix Ritort},
  journal= {arXiv preprint arXiv:cond-mat/9611022},
  year   = {2009}
}

Comments

4 Pages + 4 figures, Revtex