Overcoming system-size limitations in spin glasses

Katzgraber, Helmut G. and K├Ârner, Mathias and Liers, Frauke and Hartmann, Alexander K. (2005) Overcoming system-size limitations in spin glasses.
Published in: Progress of theoretical physics : Supplement (157). pp. 59-65.


In order to overcome the limitations of small system sizes in spin-glass simulations, we investigate the one-dimensional Ising spin chain with power-law interactions. The model has the advantage over traditional higher-dimensional Hamiltonians in that a large range of system sizes can be studied. In addition, the universality class of the model can be changed by tuning the power law exponent, thus allowing us to scan from the mean-field to long-range and short-range universality classes. We illustrate the advantages of this model by studying the nature of the spin glass state where our results hint towards a replica symmetry breaking scenario. We also compute ground-state energy distributions and show that mean-field and non-mean-field models are intrinsically different.

Download: [img] Postscript - Preprinted Version
Download (271kB) | Preview
Editorial actions: View Item View Item (Login required)
Deposit Information:
ZAIK Number: zaik2005-504
Depositing User: Frauke Liers
Date Deposited: 01 Dec 2005 00:00
Last Modified: 06 Feb 2012 16:13
URI: http://e-archive.informatik.uni-koeln.de/id/eprint/504