Critical phenomena and renormalization-group theory

A Pelissetto, E Vicari - Physics Reports, 2002 - Elsevier
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 …

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 …

Scaling and universality in the phase diagram of the 2D Blume-Capel model

J Zierenberg, NG Fytas, M Weigel, W Janke… - The European Physical …, 2017 - Springer
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 …

Critical behavior of the three-dimensional Ising spin glass

HG Ballesteros, A Cruz, LA Fernandez, V Martín-Mayor… - Physical Review B, 2000 - APS
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 …

Critical exponents of the three-dimensional diluted Ising model

HG Ballesteros, LA Fernández, V Martín-Mayor… - Physical review B, 1998 - APS
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 …

Universality in the three-dimensional random-field Ising model

NG Fytas, V Martín-Mayor - Physical review letters, 2013 - APS
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 …

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 …

Finite size effects on measures of critical exponents in d= 3 O (N) models

HG Ballesteros, LA Fernandez, V Martín-Mayor… - Physics Letters B, 1996 - Elsevier
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 …

Critical parameters of the three-dimensional Ising spin glass

M Baity-Jesi, RA Baños, A Cruz, LA Fernandez… - Physical Review B, 2013 - APS
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 …

Finite-size scaling of the random-field Ising model above the upper critical dimension

NG Fytas, V Martín-Mayor, G Parisi, M Picco, N Sourlas - Physical Review E, 2023 - APS
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 …