Critical phenomena and renormalization-group theory
We review results concerning the critical behavior of spin systems at equilibrium. We
consider the Ising and the general O (N)-symmetric universality classes, including the N→ 0 …
consider the Ising and the general O (N)-symmetric universality classes, including the N→ 0 …
The quantum transition of the two-dimensional Ising spin glass
M Bernaschi, I González-Adalid Pemartín… - Nature, 2024 - nature.com
Quantum annealers are commercial devices that aim to solve very hard computational
problems, typically those involving spin glasses,. Just as in metallurgic annealing, in which a …
problems, typically those involving spin glasses,. Just as in metallurgic annealing, in which a …
Scaling and universality in the phase diagram of the 2D Blume-Capel model
We review the pertinent features of the phase diagram of the zero-field Blume-Capel model,
focusing on the aspects of transition order, finite-size scaling and universality. In particular …
focusing on the aspects of transition order, finite-size scaling and universality. In particular …
Critical behavior of the three-dimensional Ising spin glass
We have simulated, using parallel tempering, the three-dimensional Ising spin glass model
with binary couplings in a helicoidal geometry. The largest lattice (L= 20) has been studied …
with binary couplings in a helicoidal geometry. The largest lattice (L= 20) has been studied …
Critical exponents of the three-dimensional diluted Ising model
We study the phase diagram of the site-diluted Ising model in a wide dilution range, through
Monte Carlo simulations and finite-size scaling techniques. Our results for the critical …
Monte Carlo simulations and finite-size scaling techniques. Our results for the critical …
Universality in the three-dimensional random-field Ising model
We solve a long-standing puzzle in statistical mechanics of disordered systems. By
performing a<? format?> high-statistics simulation of the D= 3 random-field Ising model at …
performing a<? format?> high-statistics simulation of the D= 3 random-field Ising model at …
Scaling corrections: site percolation and Ising model in three dimensions
HG Ballesteros, LA Fernández… - Journal of Physics A …, 1999 - iopscience.iop.org
Using finite-size scaling techniques we obtain accurate results for critical quantities of the
Ising model and the site percolation, in three dimensions. We pay special attention to …
Ising model and the site percolation, in three dimensions. We pay special attention to …
Finite size effects on measures of critical exponents in d= 3 O (N) models
We study the critical properties of three-dimensional O (N) models, for N= 2, 3, 4.
Parameterizing the leading corrections-to-scaling for the η exponent, we obtain a reliable …
Parameterizing the leading corrections-to-scaling for the η exponent, we obtain a reliable …
Critical parameters of the three-dimensional Ising spin glass
We report a high-precision finite-size scaling study of the critical behavior of the three-
dimensional Ising Edwards-Anderson model (the Ising spin glass). We have thermalized …
dimensional Ising Edwards-Anderson model (the Ising spin glass). We have thermalized …
Finite-size scaling of the random-field Ising model above the upper critical dimension
Finite-size scaling above the upper critical dimension is a long-standing puzzle in the field of
statistical physics. Even for pure systems various scaling theories have been suggested …
statistical physics. Even for pure systems various scaling theories have been suggested …