Europhys. Lett.
Volume 74, Number 2, April 2006
Page(s) 195 - 201
Section General
Published online 24 March 2006
Europhys. Lett., 74 (2), pp. 195-201 (2006)
DOI: 10.1209/epl/i2006-10007-y

Free-energy barriers in the Sherrington-Kirkpatrick model

E. Bittner and W. Janke

Institut für Theoretische Physik and Centre for Theoretical Sciences (NTZ) Universität Leipzig - Augustusplatz 10/11, D-04109 Leipzig, Germany

received 20 January 2005; accepted in final form 27 February 2006
published online 24 March 2006

The Sherrington-Kirkpatrick spin-glass model is investigated by means of Monte Carlo simulations by employing a combination of the multi-overlap algorithm with parallel tempering methods. We investigate the finite-size scaling behaviour of the free-energy barriers which are visible in the probability density of the Parisi overlap parameter. Assuming that the mean barrier height diverges with the number of spins N as $N^\alpha$, our data show good agreement with the theoretical value $\alpha = 1/3$.

02.70.Uu - Applications of Monte Carlo methods.
75.10.Nr - Spin-glass and other random models.

© EDP Sciences 2006