scholarly journals On the critical behavior of the XX spin-1/2 chain under correlated quenched disorder

2016 ◽  
Author(s):  
João Carlos de Andrade Getelina
Keyword(s):  
Critical Behavior ◽  
Quenched Disorder

Critical behavior of a cubic-lattice 3D Ising model for systems with quenched disorder

2004 ◽  
Vol 99 (6) ◽  
pp. 1201-1206 ◽  
Author(s):  
A. K. Murtazaev ◽  
I. K. Kamilov ◽  
A. B. Babaev
Keyword(s):  
Ising Model ◽  
Critical Behavior ◽  
Quenched Disorder ◽  
Cubic Lattice ◽  
3D Ising Model

scholarly journals WEAK QUENCHED DISORDER AND CRITICALITY: RESUMMATION OF ASYMPTOTIC(?) SERIES

2002 ◽  
Vol 16 (27) ◽  
pp. 4027-4079 ◽  
Author(s):  
YU. HOLOVATCH ◽  
V. BLAVATS'KA ◽  
M. DUDKA ◽  
C. VON FERBER ◽  
R. FOLK ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Critical Behavior ◽  
Asymptotic Series ◽  
Analytical Description ◽  
Quenched Disorder ◽  
Site Disorder ◽  
Disordered Models ◽  
Random Site ◽  
Theoretical Results ◽  
Theory Series

In this review paper, we discuss the influence of weak quenched disorder on the critical behavior in condensed matter and give a brief review of the available experimental and theoretical results as well as results of MC simulations of these phenomena. We concentrate on three cases: (i) uncorrelated random-site disorder, (ii) long-range correlated random-site disorder, and (iii) random anisotropy. Today, the standard analytical description of critical behavior is given by renormalization group results refined by resummation of the perturbation theory series. The convergence properties of the series are unknown for most disordered models. The main object of this review is to discuss the peculiarities of the application of resummation techniques to perturbation theory series of disordered models.

The critical behavior of the two-dimensional three-state Potts model on a triangular lattice with quenched disorder

2019 ◽  
Vol 238 ◽  
pp. 321-323 ◽  
Author(s):  
Akai K. Murtazaev ◽  
Albert B. Babaev
Keyword(s):  
Critical Behavior ◽  
Potts Model ◽  
Triangular Lattice ◽  
Quenched Disorder ◽  
Two Dimensional

Critical behavior induced by quenched disorder

1993 ◽  
Vol 194 (1-4) ◽  
pp. 72-76 ◽  
Author(s):  
A. Nihat Berker
Keyword(s):  
Critical Behavior ◽  
Quenched Disorder

Spin-glass effects on critical behavior in systems with extended quenched disorder

1999 ◽  
Vol 59 (2) ◽  
pp. 855-860 ◽  
Author(s):  
L. De Cesare ◽  
M. T. Mercaldo
Keyword(s):  
Spin Glass ◽  
Critical Behavior ◽  
Quenched Disorder

Exact critical behavior of two-dimensional wetting problems with quenched disorder

1988 ◽  
Vol 51 (1-2) ◽  
pp. 29-56 ◽  
Author(s):  
G. Forgacs ◽  
J. M. Luck ◽  
Th. M. Nieuwenhuizen ◽  
H. Orland
Keyword(s):  
Critical Behavior ◽  
Quenched Disorder ◽  
Two Dimensional

Superuniversal Critical Behavior in Two-Dimensional Random Anisotropic Models with Discrete Symmetries

1998 ◽  
Vol 12 (12n13) ◽  
pp. 1301-1309
Author(s):  
G. Jug ◽  
B. N. Shalaev
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Ising Model ◽  
Critical Behavior ◽  
Quenched Disorder ◽  
Two Dimensional ◽  
Anisotropic Models ◽  
Conformal Field ◽  
Logarithmic Corrections ◽  
Anisotropic Systems

We study the critical behavior of two-dimensional (2D) anisotropic systems with weak quenched disorder described by the Ising model (IM) with random bonds, the dilute N-color Ashkin–Teller model (ATM) and some its generalizations. It is shown that all these models exhibit the same critical behavior as that of the 2D-IM apart from some logarithmic corrections. The minimal conformal field theory (CFT) models with randomness are found to be described by critical exponents which are numerically very close to those of the pure 2D-IM.

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