ISSN:
1572-9613
Keywords:
Spin glass
;
Bethe lattice
;
bifurcation
;
critical phenomena
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We present a rigorous analysis of the ±J Ising spin-glass model on the Bethe lattice with fixed uncorrelated boundary conditions. Phase diagrams are derived as a function of temperature vs. concentration of ferromagnetic bonds and, for a symmetric distribution of bonds, external field vs. temperature. In this part we characterize the bulk ordered phases using bifurcation theory: we prove the existence of a distribution of single-site magnetizations far inside the lattice which is stable with respect to changes in the boundary conditions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01014364