Universität zu Köln

Liers, Frauke, Lukic, Jovanka, Marinari, Enzo, Pelissetto, Andrea and Vicari, Ettore (2007). Zero-temperature behavior of the random-anisotropy model in the strong-anisotropy limit. Physical Review B, 76 (17). p. 174423.

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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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Liers, Frauke UNSPECIFIED UNSPECIFIED UNSPECIFIED Lukic, Jovanka UNSPECIFIED UNSPECIFIED UNSPECIFIED Marinari, Enzo UNSPECIFIED UNSPECIFIED UNSPECIFIED Pelissetto, Andrea UNSPECIFIED UNSPECIFIED UNSPECIFIED Vicari, Ettore UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-549121
Journal or Publication Title:	Physical Review B
Volume:	76
Number:	17
Page Range:	p. 174423
Date:	2007
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Institute of Computer Science
Subjects:	Data processing Computer science
Refereed:	No
URI:	http://kups.ub.uni-koeln.de/id/eprint/54912