Chiaki Yamaguchi
Published 2011-08-04, updated 2012-07-26Version 4
We investigate an extended +-J Ising spin glass model by using a gauge symmetry. This model has +-J1 interactions and +-J2 interactions. We show that a gauge symmetry is usable to study this model. The exact internal energy, the rigorous upper bound of the specific heat and some rigorous relations for correlation functions and order parameters are shown by using the gauge symmetry. The results are rigorous, and do not depend on any lattice shape. A part of our results, e.g., the value of the exact internal energy should be useful for checking the computer programs for investigating this model. In addition, we find that the present solutions are general solutions which include the solutions on the so-called Nishimori line for the conventional +-J Ising spin glass model and the solutions for the bond-diluted +-J Ising spin glass model.
Comments: 6 pages, no figures. v4: minor corrections/additions
Proposal of a new quantum annealing schedule for studying transverse-field-based quantum versus classical annealing of the Ising model: a case study of the Ising spin glass model on the square lattice by the Monte Carlo simulation
Ising spin glass models versus Ising models: an effective mapping at high temperature III. Rigorous formulation and detailed proof for general graphs
Conjectured Exact Percolation Thresholds of the Fortuin-Kasteleyn Cluster for the +-J Ising Spin Glass Model
![QR code for arXiv:1108.1117 [cond-mat.dis-nn]](http://oss.arxitics.com/images/favicon.svg)