2008/04/11 by W. Atisattapong, W Atisattapong, J. Poulter +1 · 2 citations
Mathematics · Physics and Astronomy · #Quantum many-body systems #Random Matrices and Applications #Theoretical and Computational Physics #cond-mat.dis-nn
paper · pdf · doi:10.1088/1367-2630/10/9/093012
published as New Journal of Physics 10 (2008) 093012 · 4 pages, 4 figures
arxiv created 2008/04/11 · openalex publication_date 2008/09/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
An exact algorithm is used to compute the degeneracies of the excited states of the bimodal Ising spin glass in two dimensions. It is found that the specific heat at arbitrary low temperature is not a self-averaging quantity and has a distribution that is neither normal nor lognormal. Nevertheless, it is possible to estimate the most likely value and this is found to scale as L 3 T -2 exp (−4 J / kT ), for a L × L lattice. Our analysis also explains, for the first time, why a correlation length ξ∼exp (2 J / kT ) is consistent with an energy gap of 2 J . Our method allows us to obtain results for up to 10 5 disorder realizations with L ⩽96. Distributions of second and third excitations are also shown.