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

Liers, Frauke and Lukic, Jovanka and Marinari, Enzo and Pelissetto, Andrea and Vicari, Ettore
(2007)
*Zero-temperature behavior of the random-anisotropy model in the strong-anisotropy limit.*
**Published in: **
Physical Review B Vol. 76 (17).
p. 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 theta = -0.275(5) and theta approx 0.2 respectively in two and three dimensions. These results show 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.

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ZAIK Number: | zaik2007-556 |
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Depositing User: | Frauke Liers |

Date Deposited: | 19 Apr 2008 00:00 |

Last Modified: | 12 Jan 2012 09:03 |

URI: | http://e-archive.informatik.uni-koeln.de/id/eprint/556 |