RT Journal Article
T1 Phase Transitions in Disordered Systems: The Example of the Random-Field Ising Model in Four Dimensions
A1 Fytas, Nikolaos G.
A1 Martín Mayor, Víctor
A1 Picco, Marco
A1 Sourlas, Nicolas
AB By performing a high-statistics simulation of the D = 4 random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute to a high accuracy the complete set of critical exponents for this class, including the correction-to-scaling exponent. Our results indicate that in four dimensions (i) dimensional reduction as predicted by the perturbative renormalization group does not hold and (ii) three independent critical exponents are needed to describe the transition.
PB American Physical Society
SN 0031-9007
YR 2016
FD 2016-06-03
LK https://hdl.handle.net/20.500.14352/24562
UL https://hdl.handle.net/20.500.14352/24562
LA eng
NO © 2016 American Physical Society.Our L=52, 60 lattices were simulated in the MareNostrum and Picasso supercomputers (we thankfully acknowledge the computer resources and assistance provided by the staff at the Red Española de Supercomputación). N. G. F. was supported by Royal Society Research Grant No. RG140201 and from a Research Collaboration Fellowship Scheme of Coventry University. V. M.-M. was supported by MINECO (Spain) through research Contract No. FIS2012-35719C02-01.
NO Ministerio de Economía y Competitividad (MINECO)
NO Royal Society (Reino Unido)
NO Research Collaboration Fellowship Scheme of Coventry University
DS Docta Complutense
RD 13 abr 2025