2003/09/09 by J. Lukic, Anna Galluccio, A. Galluccio +6 · 3 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Binary number #Bioinformatics #Complex Network Analysis Techniques #Complex Systems and Time Series Analysis #Condensed matter physics #Degeneracy (biology) #Degenerate energy levels #Excited state #Ground state #Ising model #Ising spin #Materials science #Mathematics #Partition function (quantum field theory) #Physics #Quantum mechanics #Random Matrices and Applications #Specific heat #Spin (aerodynamics) #Spin glass #Statistical physics #Theoretical and Computational Physics #Thermodynamics #cond-mat.dis-nn
paper · pdf · doi:10.1103/physrevlett.92.117202
published in arXiv (Cornell University) 92(11), 117202 (Cornell University)
openalex publication_date 2003/09/09 · arxiv created 2004/02/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We compute the exact partition function of 2d Ising spin glasseswith binary couplings. In these systems, the ground state is highlydegenerate and is separated from the first excited state by a gap ofsize 4J. Nevertheless, we find that the low temperature specificheat density scales as exp(-2J/T), corresponding to an``effective'' gap of size 2J; in addition, an associated cross-overlength scale grows as exp(J/T). We justify these scalings viathe degeneracy of the low-lying excitations and by the way low energydomain walls proliferate in this model.