Year: 1980
Type: article
Abstract: A general theory to count the number of local minimum states in an Ising spin glass is developed. The problem is reduced to finding the partition function of an interacting non-random spin system with an imaginary spin weight function. For the infinite-ranged spin glass with Gaussian bond distribution, the authors find (g 0 )=2 0.28743N for the average number of the local minimum states. The distribution function for the energies of these states is also studied. The upper limit of the average ground state energy per spin of the infinite-ranged spin glass is found to be -J/ square root 2 pi .
Authors: F Tanaka, S F Edwards
Institution: University of Cambridge
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2059775469