Monte Carlo studies of the one-dimensional Ising spin glass with power-law interactions

Article

关键词: WALL RENORMALIZATION-GROUP;    LONG-RANGE INTERACTIONS;    CRITICAL-BEHAVIOR;    ORDER-PARAMETER;    GROUND-STATE;    MODEL;    PHASE;    SIMULATIONS;    ULTRAMETRICITY;    ABSENCE;   

DOI  :  10.1103/PhysRevB.67.134410

来源: SCIE

【 摘 要 】

We present results from Monte Carlo simulations of the one-dimensional Ising spin glass with power-law interactions at low temperature, using the parallel tempering Monte Carlo method. For a set of parameters where the long-range part of the interaction is relevant, we find evidence for large-scale dropletlike excitations with an energy that is independent of system size, consistent with replica symmetry breaking. We also perform zero-temperature defect energy calculations for a range of parameters and find a stiffness exponent for domain walls in reasonable but by no means perfect agreement with analytic predictions.

【 授权许可】

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