Zero-temperature behavior of the random-anisotropy model in the strong-anisotropy limit

Liers F, Lukic J, Marinari E, Pelissetto A, Vicari E (2007)


Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2007

Journal

Publisher: American Physical Society

Book Volume: 76

Article Number: 174423

Journal Issue: 17

DOI: 10.1103/PhysRevB.76.174423

Abstract

We consider the random-anisotropy model on the square and on the cubic lattice in the strong-anisotropy limit. We compute exact ground-state configurations, and we use them to determine the stiffness exponent at zero temperature; we find θ=-0.275 (5) and θ 0.2, respectively, in two and three dimensions. These results strongly suggest that the low-temperature phase of the model is the same as that of the usual Ising spin-glass model. We also show that no magnetic order occurs in two dimensions, since the expectation value of the magnetization is zero and spatial correlation functions decay exponentially. In three dimensions, our data strongly support the absence of spontaneous magnetization in the infinite-volume limit. © 2007 The American Physical Society.

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APA:

Liers, F., Lukic, J., Marinari, E., Pelissetto, A., & Vicari, E. (2007). Zero-temperature behavior of the random-anisotropy model in the strong-anisotropy limit. Physical Review B, 76(17). https://dx.doi.org/10.1103/PhysRevB.76.174423

MLA:

Liers, Frauke, et al. "Zero-temperature behavior of the random-anisotropy model in the strong-anisotropy limit." Physical Review B 76.17 (2007).

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