Energetics and geometry of excitations in random systems

Details Energetics and geometry of excitations in random systems Energetics and geometry of excitations in random systems

2000-07-24

arxiv.org/abs/cond-mat/0007375v1

Physical Review B 63, 060202(R) (2001) (4 pages)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, eps files included

Scientific paper

10.1103/PhysRevB.63.060202

Methods for studying droplets in models with quenched disorder are critically examined. Low energy excitations in two dimensional models are investigated by finding minimal energy interior excitations and by computing the effect of bulk perturbations. The numerical data support the assumptions of compact droplets and a single exponent for droplet energy scaling. Analytic calculations show how strong corrections to power laws can result when samples and droplets are averaged over. Such corrections can explain apparent discrepancies in several previous numerical results for spin glasses.

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