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.

[thumbnail of zaik2007-556.pdf]
Preview
 PDF
zaik2007-556.pdf - Draft Version
Download (184kB) | Preview

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: 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

Downloads

Downloads per month over past year

Export

Actions (login required)

View Item View Item