Magnetic exponents of two-dimensional Ising spin glasses

Beitrag in einer Fachzeitschrift

Details zur Publikation

Autorinnen und Autoren: Liers F, Martin OC
Zeitschrift: Physical Review B
Verlag: American Physical Society
Jahr der Veröffentlichung: 2007
Band: 76
Heftnummer: 6
ISSN: 1098-0121


The magnetic critical properties of two-dimensional Ising spin glasses are controversial. Using an exact ground-state determination, we extract the properties of clusters flipped when a uniform field is increased continuously. We show that these clusters have many holes but otherwise have statistical properties similar to those of zero-field droplets. A detailed analysis gives for the magnetization exponent δ≈1.30±0.02 using lattice sizes up to 80×80; this is compatible with the droplet model prediction, δ=1.282. The reason for previous disagreements stems from the need to analyze both singular and analytic contributions in the low-field regime. © 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

University of Paris 11 - Paris-Sud / Université Paris XI Paris-Sud


Liers, F., & Martin, O.C. (2007). Magnetic exponents of two-dimensional Ising spin glasses. Physical Review B, 76(6).

Liers, Frauke, and Olivier C. Martin. "Magnetic exponents of two-dimensional Ising spin glasses." Physical Review B 76.6 (2007).


Zuletzt aktualisiert 2018-30-10 um 13:50