2013/05/20 by Masayuki Ohzeki, Ohzeki, Masayuki
Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.dis-nn #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.48550/arxiv.1305.4469
7 pages, 2 figures, to appear in Proceedings of 4th YSM-SPIP (Sendai, 14-16 December 2012)
arxiv created 2013/05/20 · arxiv updated 2013/05/21
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.