Critical behavior and universality in Lévy spin glasses
نویسندگان
چکیده
Juan Carlos Andresen,1 Katharina Janzen,2 and Helmut G. Katzgraber3,1 1Theoretische Physik, ETH Zurich, CH-8093 Zurich, Switzerland 2Institut für Physik, Carl-von-Ossietzky-Universität, 26111 Oldenburg, Germany 3Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843-4242, USA (Received 8 February 2011; revised manuscript received 18 March 2011; published 13 May 2011)
منابع مشابه
Ordering Temperatures and Critical Exponents in Ising Spin Glasses.
We propose a numerical criterion which can be used to obtain accurate and reliable values of the ordering temperatures and critical exponents of spin glasses. Using this method we find a value of the ordering temperature for the ±J Ising spin glass in three dimensions which is definitely non-zero and in good agreement with previous estimates. We show that the critical exponents of three dimensi...
متن کاملMulticritical point of Ising spin glasses on triangular and honeycomb lattices
The behavior of two-dimensional Ising spin glasses at the multicritical point on triangular and honeycomb lattices is investigated with the help of finite-size scaling and conformal-invariance concepts. We use transfermatrix methods on long strips to calculate domain-wall energies, uniform susceptibilities, and spin-spin correlation functions. Accurate estimates are provided for the location of...
متن کاملEvidence for nonuniversal scaling in dimension-four Ising spin glasses.
The critical behavior of the Binder cumulant for Ising spin glasses in dimension four is studied through simulation measurements. Data for the bimodal interaction model are compared with those for the Laplacian interaction model. Special attention is paid to scaling corrections. The limiting infinite size value at criticality for this dimensionless variable is a parameter characteristic of a un...
متن کاملChaos and universality in two-dimensional Ising spin glasses
Recently extended precise numerical methods and droplet scaling arguments allow for a coherent picture of the glassy states of two-dimensional Ising spin glasses to be assembled. The length scale at which entropy becomes important and produces “chaos”, the extreme sensitivity of the state to temperature, is found to depend on the type of randomness. For the ±J model this length scale dominates ...
متن کاملp-Spin model in finite dimensions and its relation to structural glasses.
The p-spin spin-glass model has been studied extensively at mean-field level because of the insights which it provides into the mode-coupling approach to structural glasses and the nature of the glass transition. We demonstrate explicitly that the finite-dimensional version of the three-spin model is in the same universality class as an Ising spin glass in a magnetic field. Assuming that the dr...
متن کامل