LETTER TO THE EDITOR: Parisi states in a Heisenberg spinglass model in three dimensions
Abstract
Having developed a hybrid genetic algorithm, we have studied lowlying excited states of the ±J Heisenberg model in two (d = 2) and three (d = 3) dimensions. We have found evidence of the occurrence of the Parisi states in d = 3 but not in d = 2. That is, in L^{d} lattices, there exist metastable states with a finite excitation energy of DgrE ~ O(J) for L rarr infin, and energy barriers DgrW between the ground state and those metastable states are DgrW ~ O(JL^{thgr}) with thgr > 0 in d = 3 but with thgr < 0 in d = 2. This finding favours the replicasymmetrybreaking or the trivialnontrivial scenario of the SG phase over the droplet scenario.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 March 2004
 DOI:
 10.1088/03054470/37/9/L01
 arXiv:
 arXiv:condmat/0309576
 Bibcode:
 2004JPhA...37L..99M
 Keywords:

 Condensed Matter  Disordered Systems and Neural Networks
 EPrint:
 4 pages, 6 figures