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# Zero- and Low-Temperature Behavior of the Two-Dimensional $\ifmmode±\else\textpm\fiJ$ Ising Spin Glass

Phys. Rev. Lett., Vol. 107 (2011), pp. 047203-047203, doi:10.1103/physrevlett.107.047203  Key: citeulike:11406698

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### Abstract

Scaling arguments and precise simulations are used to study the square lattice Â±J Ising spin glass, a prototypical model for glassy systems. Droplet theory explains, and our numerical results show, entropically stabilized long-range spin-glass order at zero temperature, which resembles the energetic stabilization of long-range order in higher-dimensional models at finite temperature. At low temperature, a temperature-dependent crossover length scale is used to predict the power-law dependence on temperature of the heat capacity and clarify the importance of disorder distributions.