Statistical properties of one-point Green functions in disordered systems and critical behavior near the Anderson transition

1994 ◽  
Vol 4 (5) ◽  
pp. 655-673 ◽  
Author(s):  
Alexander D. Mirlin ◽  
Yan V. Fyodorov
Keyword(s):  
Critical Behavior ◽  
Disordered Systems ◽  
Statistical Properties ◽  
Green Functions ◽  
Anderson Transition

scholarly journals EFFECT OF FIELD DIRECTION AND FIELD INTENSITY ON DIRECTED SPIRAL PERCOLATION

2006 ◽  
Vol 17 (09) ◽  
pp. 1285-1302 ◽  
Author(s):  
SANTANU SINHA ◽  
S. B. SANTRA
Keyword(s):  
Phase Diagram ◽  
Critical Behavior ◽  
Disordered Systems ◽  
Universality Class ◽  
Two Dimensions ◽  
Percolation Model ◽  
Field Direction ◽  
Critical Properties ◽  
External Bias ◽  
Directional Field

Directed spiral percolation (DSP) is a new percolation model with crossed external bias fields. Since percolation is a model of disorder, the effect of external bias fields on the properties of disordered systems can be studied numerically using DSP. In DSP, the bias fields are an in-plane directional field (E) and a field of rotational nature (B) applied perpendicular to the plane of the lattice. The critical properties of DSP clusters are studied here varying the direction of E field and intensities of both E and B fields in two-dimensions. The system shows interesting and unusual critical behavior at the percolation threshold. Not only the DSP model is found to belong in a new universality class compared to that of other percolation models but also the universality class remains invariant under the variation of E field direction. Varying the intensities of the E and B fields, a crossover from DSP to other percolation models has been studied. A phase diagram of the percolation models is obtained as a function of intensities of the bias fields E and B.

scholarly journals Critical behavior of ac conductivity near the Anderson transition

1999 ◽  
Vol 60 (20) ◽  
pp. 14066-14071 ◽  
Author(s):  
Hiroyuki Shima ◽  
Tsuneyoshi Nakayama
Keyword(s):  
Critical Behavior ◽  
Ac Conductivity ◽  
Anderson Transition

Non-Equilibrium Critical Dynamics of Ferromagnets with Long Range Correlated Defects

2012 ◽  
Vol 190 ◽  
pp. 31-34
Author(s):  
Dmitry N. Kulikov ◽  
Pavel V. Prudnikov
Keyword(s):  
Critical Exponent ◽  
Long Range ◽  
Critical Behavior ◽  
Disordered Systems ◽  
Asymptotic Series ◽  
Three Dimensional ◽  
Time Regime ◽  
Short Time ◽  
Short Time Evolution ◽  
Non Equilibrium

The simultaneous effect of non-equilibrium initial states and correlation betweendefects of the structure on the evolution of anisotropic disordered systems at the critical pointwas analyzed. The field theory description of the non-equilibrium critical behavior of three-dimensional disordered systems with the long-range correlated defects was given and the dy-namical critical exponent of the short-time evolution was calculated in the two-loop approxima-tion without the use of the "-expansion. The values of the dynamical critical exponent obtainedby using various methods for summing asymptotic series were compared with the results ofthe computer simulation of the non-equilibrium critical behavior of the three-dimensional dis-ordered Ising model in the short-time regime.

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