Support for the value 5/2 for the spin glass lower critical dimension at zero magnetic field.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 29717042.
- Also identified by DOI 10.1073/pnas.1720832115 and PMC identifier 5960301.
- No licence information is recorded for this record.
- Because redistribution is not established, this page shows the abstract only. Follow the links below for the full text.
Abstract
We study numerically various properties of the free energy barriers in the Edwards-Anderson model of spin glasses in the low-temperature region in both three and four spatial dimensions. In particular, we investigated the dependence of height of free energy barriers on system size and on the distance between the initial and final states (i.e., the overlap distance). A related quantity is the distribution of large local fluctuations of the overlap in large 3D samples at equilibrium. Our results for both quantities (barriers and large deviations) are in agreement with the prediction obtained in the framework of mean-field theory. In addition, our result supports [Formula: see text] as the lower critical dimension of the model.