On the coherent potential approximation in the functional integral approach to itinerant electron magnetism

1990 ◽  
Vol 2 (3) ◽  
pp. 763-770
Author(s):  
S Hirooka ◽  
M Shimizu
Keyword(s):  
Functional Integral ◽  
Coherent Potential Approximation ◽  
Integral Approach ◽  
Itinerant Electron ◽  
Potential Approximation

scholarly journals Absorption Spectrum and Density of States of Square, Rectangular, and Triangular Frenkel Exciton Systems with Gaussian Diagonal Disorder

2017 ◽  
Vol 2017 ◽  
pp. 1-5
Author(s):  
Ibrahim Avgin ◽  
David Huber
Keyword(s):  
Density Of States ◽  
Nearest Neighbor ◽  
Elliptic Integral ◽  
Coherent Potential Approximation ◽  
Square Lattice ◽  
Integral Approach ◽  
Frenkel Exciton ◽  
Potential Approximation ◽  
Effects Of Disorder ◽  
Diagonal Disorder

Using the coherent potential approximation, we investigate the effects of disorder on the optical absorption and the density of states of Frenkel exciton systems on square, rectangular, and triangular lattices with nearest-neighbor interactions and a Gaussian distribution of transition energies. The analysis is based on an elliptic integral approach that gives results over the entire spectrum. The results for the square lattice are in good agreement with the finite-array calculations of Schreiber and Toyozawa. Our findings suggest that the coherent potential approximation can be useful in interpreting the optical properties of two-dimensional systems with dominant nearest-neighbor interactions and Gaussian diagonal disorder provided the optically active states are Frenkel excitons.

Reaction diffusion with initially separated reactants: Functional integral approach

1997 ◽  
Vol 56 (1) ◽  
pp. 708-711 ◽  
Author(s):  
Victor Malyutin ◽  
Savely Rabinovich ◽  
Shlomo Havlin
Keyword(s):  
Reaction Diffusion ◽  
Functional Integral ◽  
Integral Approach
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