Overcoming system-size limitations in spin glasses

Details Overcoming system-size limitations in spin glasses Overcoming system-size limitations in spin glasses

2005-09-18

arxiv.org/abs/cond-mat/0509469v1

Progress of Theoretical Physics Supp. No. 157, 59 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 2x2 figures, proceedings of the 2004 SPDSA Conference in Hayama, Japan, July 12 - 15, 2004

Scientific paper

10.1143/PTPS.157.59

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.

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