Year: 1997
Type: article
Abstract: The multifractal properties of the Edwards-Anderson order parameter of the short-range Ising spin-glass model on d=3 diamond hierarchical lattices are studied via an exact recursion procedure. The profiles of the local order parameter are calculated and analyzed within a range of temperatures close to the critical point with four symmetric distributions of the coupling constants (Gaussian, bimodal, uniform, and exponential). Unlike the pure case, the multifractal analysis of these profiles reveals that a large spectrum of the \ensuremath{\alpha} H\"older exponent is required to describe the singularities of the measure defined by the normalized local order parameter, at and below the critical point. Minor changes in these spectra are observed for distinct initial distributions of coupling constants, suggesting a universal spectra behavior. For temperatures slightly above ${\mathrm{T}}_{\mathrm{c}}$, a dramatic change in the F(\ensuremath{\alpha}) function is found, signaling the transition.
Authors: E. Nogueira Jr., S. Coutinho, F. D. Nobre, E. M. F. Curado, J. R. L. de Almeida
Institution: Universidade Federal do Rio Grande do Norte
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2001208607