Multicritical point of spin glasses
arXiv:0911.5561 · doi:10.1016/j.physa.2010.01.025
Abstract
We present a theoretical framework to accurately calculate the location of the multicritical point in the phase diagram of spin glasses. The result shows excellent agreement with numerical estimates. The basic idea is a combination of the duality relation, the replica method, and the gauge symmetry. An additional element of the renormalization group, in particular in the context of hierarchical lattices, leads to impressive improvements of the predictions.
6 pages, 3 figures, Dedicated to Prof. A. Nihat Berker on the occasion of his sixtieth birthday. to appear in Physica A
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Cited by in corpus (4)
- Renormalization Group on hierarchical lattices in finite dimensional disordered Ising and Blume-Emery-Griffiths Models
- Zero-temperature spinglass-ferromagnetic transition : scaling analysis of the domain-wall energy
- High-precision phase diagram of spin glasses from duality analysis with real-space renormalization and graph polynomials
- An extension of estimation of critical points in ground state for random spin systems