2005/06/05 by Jian‐Sheng Wang, Jian-Sheng Wang · 18 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Boundary (topology) #Combinatorics #Condensed matter physics #Coupling constant #Mathematical analysis #Mathematics #Partition (number theory) #Partition function (quantum field theory) #Physics #Quantum mechanics #Spin (aerodynamics) #Spin glass #Square lattice #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamics #Topological and Geometric Data Analysis #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.72.036706
published in Physical Review E 72(3), 036706 (American Physical Society) · 4 pages, 3 figures
arxiv created 2005/06/05 · openalex publication_date 2005/09/28 · arxiv updated 2010/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A worm algorithm is proposed for the two-dimensional spin glasses. The method is based on a low-temperature expansion of the partition function. The low-temperature configurations of the spin glass on square lattice can be viewed as strings connecting pairs of frustrated plaquettes. The worm algorithm directly manipulates these strings. It is shown that the worm algorithm is efficient, particularly if free boundary conditions are used. We obtain accurate low-temperature specific heat data consistent with a form c approximately T-2 exp [-2J/( kB T) ] , where T is temperature and J is coupling constant, for the two-dimensional +/- J spin glass.