Universiteit Utrecht   Faculteit Natuur- en Sterrenkunde

Aging in two-dimensional Ising spin glasses

A. G. Schins, E. M. Dons, A. F. M. Arts, and H. W. de Wijn
Faculty of Physics and Astronomy, and Debye Institute, Utrecht University, P.O. Box 80.000, 3508 TA Utrecht, The Netherlands

E. Vincent, L. Leylekian, and J. Hammann
Service de Physique de l'Etat Condensé, Orme des Merisiers, Commissariat à l'Energie Atomique, Saclay, 91191 Gif-sur-Yvette Cedex, France

Aging of two-dimensional (2D) Ising spin glasses with short-range interactions Rb2Cu1-xCoxF4 (Tc = 0) is studied in the critical regime via the low-frequency ac susceptibility and via the dc magnetization for x = 0.22 and 0.33. After quenching to low temperatures, slow logarithmic relaxation is observed for both the in-phase and out-of-phase ac susceptibilities. Using the droplet scaling model, the spin-glass correlation length R is concluded to increase after a temperature quench as R \propto (ln t)1/\psi, with t in units of some microscopic time. The exponent \psi = 1.0 ± 0.1 compares with recent theoretical results and numerical simulations for 2D short-range Ising spin glasses. The waiting-time dependence found for the field-cooled and zero-field-cooled dc magnetizations points to a markedly slower crossover from the quasiequilibrium to the nonequilibrium regime than in 3D. From experiments with different cooling histories, finally, the equilibrium spin-glass state is inferred to be strongly dependent on the temperature.