A challenge for critical point of spin glass in ground state
Disordered Systems and Neural Networks
2013-05-21 v1 Statistical Mechanics
Quantum Physics
Abstract
We show several calculations to identify the critical point in the ground state in random spin systems including spin glasses on the basis of the duality analysis. The duality analysis is a profound method to obtain the precise location of the critical point in finite temperature even for spin glasses. We propose a single equality for identifying the critical point in the ground state from several speculations. The equality can indeed give the exact location of the critical points for the bond-dilution Ising model on several lattices and provides insight on further analysis on the ground state in spin glasses.
Keywords
Cite
@article{arxiv.1305.4469,
title = {A challenge for critical point of spin glass in ground state},
author = {Masayuki Ohzeki},
journal= {arXiv preprint arXiv:1305.4469},
year = {2013}
}
Comments
7 pages, 2 figures, to appear in Proceedings of 4th YSM-SPIP (Sendai, 14-16 December 2012)