We study the properties under duality transformations of the general random spin systems with bimodal randomness to derive conjecture which relates the two multicritical points of dual random model pairs. The validity of the conjecture is checked for several cases by numerical results. We also discuss that the duality and our conjecture are useful for investigating the accuracy threshold of the toric codes in various dimensions.
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)