ISSN:
1572-9613
Keywords:
Spin glasses
;
long-range interactions
;
freezing temperature
;
localized and extended states
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The onset of spin-glass freezing in dilute Ising systems with long-range interactions is investigated with the use of numerical simulations. We show that taking pair correlations explicitly into account results in the renormalization of the interaction matrix and suppression of the density of localized states compared with conventional mean field theory. Application of the theory to the RKKY interaction in the dilute limit raises the question of the appropriate boundary eigenvalue of the effective interaction matrix that separates localized and extended states. We identify the onset of spin-glass freezing with the temperature T g at which this boundary eigenvalue is equal to one. Numerical simulations reproduces the linear concentration dependence of T g in the very dilute limit, in agreement with scaling relations, and show a significant improvement over the conventional mean-field theory in the value obtained for the freezing temperature.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1023237306231
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