Electron propagation in a Markovian time-fluctuating medium: A dynamical generalization of the coherent-potential approximation

作者: D. Paquet , P. Leroux-Hugon

DOI: 10.1103/PHYSREVB.29.593

关键词:

摘要: We present a generalization of the coherent-potential approximation which allows one to describe average propagation in disordered medium on-site potential fluctuates time according Markov process. This method appears useful discuss dynamics some manybody problems. By extending Kubo treatment motional narrowing, averages over histories are performed with use projection techniques rely on augmented-space formalism. Both binary noise and Gauss-Markov treated. The one-particle two-particle Green functions derived each case.

参考文章(25)
H. Sumi, Exciton–lattice interaction and the line shape of exciton absorption in molecular crystals Journal of Chemical Physics. ,vol. 67, pp. 2943- 2954 ,(1977) , 10.1063/1.435259
D. Paquet, P. Leroux Hugon, Stochastic Approach to the Dynamics of the Hubbard Model Physical Review Letters. ,vol. 49, pp. 1023- 1026 ,(1982) , 10.1103/PHYSREVLETT.49.1023
Electron Correlations in Narrow Energy Bands. III. An Improved Solution Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 281, pp. 401- 419 ,(1964) , 10.1098/RSPA.1964.0190
S. M. Girvin, M. Jonson, Dynamical electron-phonon interaction and conductivity in strongly disordered metal alloys Physical Review B. ,vol. 22, pp. 3583- 3597 ,(1980) , 10.1103/PHYSREVB.22.3583
M. Lax, H. J. Carmichael, W. J. Shugard, Nonadiabatic formulation for radiationless transitions induced by classical lattice vibrations Physical Review B. ,vol. 26, pp. 3547- 3558 ,(1982) , 10.1103/PHYSREVB.26.3547
Kazuo Kitahara, J. W. Haus, Memory effects on the quantum diffusion of a particle in a fluctuating medium Zeitschrift für Physik B Condensed Matter and Quanta. ,vol. 32, pp. 419- 423 ,(1979) , 10.1007/BF02109472
N. Ohata, A Stochastic Model of a System of Electrons with Dynamical Interactions Progress of Theoretical Physics. ,vol. 51, pp. 1332- 1347 ,(1974) , 10.1143/PTP.51.1332
Hiroshi Miyazaki, Eiichi Hanamura, Optical Response of Exciton-Phonon System. II. Formulation of Emission Spectrum Journal of the Physical Society of Japan. ,vol. 51, pp. 818- 827 ,(1982) , 10.1143/JPSJ.51.818