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

Beitrag in einer Fachzeitschrift
(Originalarbeit)


Details zur Publikation

Autorinnen und Autoren: Liers F, Lukic J, Marinari E, Pelissetto A, Vicari E
Zeitschrift: Physical Review B
Verlag: American Physical Society
Jahr der Veröffentlichung: 2007
Band: 76
Heftnummer: 17
ISSN: 1098-0121


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.



FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Liers-Bergmann, Frauke Prof. Dr.
Professur für Angewandte Mathematik (Ganzzahlige und robuste Optimierung)


Einrichtungen weiterer Autorinnen und Autoren

Università degli studi "La Sapienza"
University of Belgrade / Универзитет у Београду
University of Pisa / Università di Pisa (UniPi)


Zitierweisen

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).

BibTeX: 

Zuletzt aktualisiert 2018-29-10 um 20:50