SOLVING THE SCHRODINGER-EQUATION FOR THE SHERRINGTON-KIRKPATRICK MODEL IN A TRANSVERSE FIELD

Authors
LANCASTER D RITORT F
Citation
D. Lancaster et F. Ritort, SOLVING THE SCHRODINGER-EQUATION FOR THE SHERRINGTON-KIRKPATRICK MODEL IN A TRANSVERSE FIELD, Journal of physics. A, mathematical and general, 30(4), 1997, pp. 41-47
Citations number
19
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
4
Year of publication
1997
Pages
41 - 47
Database
ISI
SICI code
0305-4470(1997)30:4<41:STSFTS>2.0.ZU;2-R
Abstract
By numerically solving the Schrodinger equation for-small sizes we inv estigate the quantum critical point of the infinite-range Ising spin g lass in a transverse held at zero temperature. Despite its simplicity the method yields accurate information on the value of the critical fi eld and critical exponents. We obtain Gamma(c) = 1.47 +/- 0.01 and che ck that exponents are in agreement with analytical approaches.