Changing the universality class of the three-dimensional Edwards-Anderson spin-glass model by selective bond dilution

Abstract

The three-dimensional Edwards-Anderson spin-glass model present strong spatial heterogeneities well characterized by the so-called backbone, a magnetic structure that arises as a consequence of the properties of the ground state and the low-excitation levels of such a frustrated Ising system. Using extensive Monte Carlo simulations and finite size scaling, we study how these heterogeneities affect the phase transition of the model. Although, we do not detect any significant difference between the critical behavior displayed by the whole system and that observed inside and outside the backbone, surprisingly, a selective bond dilution of the complement of this magnetic structure induces a change of the universality class, whereas no change is noted when the backbone is fully diluted. This finding suggests that the region surrounding the backbone plays a more relevant role in determining the physical properties of the Edwards-Anderson spin-glass model than previously thought. Furthermore, we show that when a selective bond dilution changes the universality class of the phase transition, the ground state of the model does not undergo any change. The opposite case is also valid, i. e., a dilution that does not change the critical behavior significantly affects the fundamental level.

9 pages, 7 figures

References in corpus (8)

• Universality in three-dimensional Ising spin glasses: A Monte Carlo study
• The critical behavior of three-dimensional Ising spin glass models
• An in-depth view of the microscopic dynamics of Ising spin glasses at fixed temperature
• Temperature and Disorder Chaos in Three-Dimensional Ising Spin Glasses
• Finding Low-Temperature States with Parallel Tempering, Simulated Annealing and Simple Monte Carlo
• An Extended Scaling Scheme for Critically Divergent Quantities in Ferromagnets and Spin Glasses
• Heterogeneous dynamics of the three dimensional Coulomb glass out of equilibrium
• Ground-state topology of the Edwards-Anderson +/-J spin glass model