ISSN:
1572-9613
Keywords:
spin glass
;
large-N
;
supersymmetry
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The large-N infinite-range spin glass is considered, in particular, the number of spin components k needed to form the ground state and the sample-to-sample fluctuations in the Lagrange multiplier field on each site. The physical significance of k for the correlation functions is discussed. The difference between the large-N and spherical spin glass is emphasized; a slight difference between the average Lagrange multiplier of the large-N and spherical spin glasses is derived, leading to a slight increase in the energy of the ground state compared to the naive expectation. Further, there is a change in the low-energy density of excitations in the large-N system. A form of level repulsion, similar to that found in random matrix theory, is found to exist in this system, surviving interactions. Even though the system is an interacting one, a supersymmetric formalism is developed to deal with the problem of averaging over disorder.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1018696623673
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