Magnetic exponents of two-dimensional Ising spin glasses

Liers F, Martin OC (2007)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2007

Journal

Physical Review B American Physical Society

Publisher: American Physical Society

Book Volume: 76

Article Number: 060405

Journal Issue: 6

DOI: 10.1103/PhysRevB.76.060405

Abstract

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.

Authors with CRIS profile

Frauke Liers-Bergmann Professur für Optimization under Uncertainty & Data Analysis

Involved external institutions

University of Paris 11 - Paris-Sud / Université Paris XI Paris-Sud FR France (FR)

How to cite

APA:

Liers, F., & Martin, O.C. (2007). Magnetic exponents of two-dimensional Ising spin glasses. Physical Review B, 76(6). https://doi.org/10.1103/PhysRevB.76.060405

MLA:

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

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