Strong disorder RG approach of random systems

F Iglói, C Monthus - Physics reports, 2005 - Elsevier
There is a large variety of quantum and classical systems in which the quenched disorder
plays a dominant rôle over quantum, thermal, or stochastic fluctuations: these systems …

Renormalization group study of the two-dimensional random transverse-field Ising model

IA Kovács, F Iglói - Physical Review B—Condensed Matter and Materials …, 2010 - APS
The infinite-disorder fixed point of the random transverse-field Ising model is expected to
control the critical behavior of a large class of random quantum and stochastic systems …

Inflexibility and independence: Phase transitions in the majority-rule model

N Crokidakis, PMC de Oliveira - Physical Review E, 2015 - APS
In this work we study opinion formation in a population participating in a public debate with
two distinct choices. We consider three distinct mechanisms of social interactions and …

Renormalization group study of random quantum magnets

IA Kovács, F Iglói - Journal of Physics: Condensed Matter, 2011 - iopscience.iop.org
We have developed a very efficient numerical algorithm of the strong disorder
renormalization group method to study the critical behaviour of the random transverse field …

Critical behavior and entanglement of the random transverse-field Ising model between one and two dimensions

IA Kovács, F Iglói - Physical Review B—Condensed Matter and Materials …, 2009 - APS
We consider disordered ladders of the transverse-field Ising model and study their critical
properties and entanglement entropy for varying width, w≤ 20, by numerical application of …

Random walks and polymers in the presence of quenched disorder

C Monthus - Letters in Mathematical Physics, 2006 - Springer
After a general introduction to the field, we describe some recent results concerning disorder
effects on both 'random walk models', where the random walk is a dynamical process …

Finite-size scaling of pseudocritical point distributions in the random transverse-field Ising chain

F Iglói, YC Lin, H Rieger, C Monthus - Physical Review B—Condensed Matter …, 2007 - APS
We study the distribution of finite-size pseudocritical points in a one-dimensional random
quantum magnet with a quantum phase transition described by an infinite randomness fixed …

Griffiths phase and critical behavior of the two-dimensional Potts models with long-range correlated disorder

C Chatelain - Physical Review E, 2014 - APS
The q-state Potts model with long-range correlated disorder is studied by means of large-
scale Monte Carlo simulations for q= 2, 4, 8, and 16. Evidence is given of the existence of a …

Softening of the first-order magnetic phase transition and magnetotransport properties of Sm0. 55Sr0. 45MnO3 manganite

M Egilmez, Z Salman, AI Mansour, KH Chow… - Journal of Applied …, 2008 - pubs.aip.org
We have investigated the changes in the magnetotransport properties of Sm 0.55 Sr 0.45
MnO 3 manganites caused by the disorder-induced softening of the first-order magnetic …

Critical and tricritical singularities of the three-dimensional random-bond Potts model for large

MT Mercaldo, JC Anglès d'Auriac, F Iglói - Physical Review E—Statistical …, 2006 - APS
We study the effect of varying strength δ of bond randomness on the phase transition of the
three-dimensional Potts model for large q. The cooperative behavior of the system is …