Almeida-Thouless transition below six dimensions
arXiv:0809.1839 · doi:10.1103/PhysRevB.78.220401
Abstract
The existence of an Almeida-Thouless (AT) instability surface below the upper critical dimension 6 is demonstrated in the generic replica symmetric field theory. Renormalization flows from around the zero-field fixed point are investigated. By introducing the temperature and magnetic field dependence of the bare parameters, the fate of the AT line can be followed from mean field (infinite dimensions) down to d<6.
5 pages, 1 figure
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Cited by in corpus (10)
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- The three dimensional Ising spin glass in an external magnetic field: the role of the silent majority
- Dynamical transition in the D = 3 Edwards-Anderson spin glass in an external magnetic field
- Typical versus averaged overlap distribution in Spin-Glasses : Evidence for the droplet scaling theory
- Parallel Tempering Simulation of the three-dimensional Edwards-Anderson Model with Compact Asynchronous Multispin Coding on GPU
- Study of the de Almeida-Thouless line using one-dimensional power-law diluted Heisenberg Spin Glasses
- Hierarchical spin glasses in a magnetic field: A renormalization-group study
- The Ising spin glass in finite dimensions: a perturbative study of the free energy
- Physical observables of the Ising spin glass in 6-epsilon dimensions: asymptotical behavior around the critical fixed point