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Green's Functions Approach to the Theory of Hopping Conductivity in Disordered Semiconductors
Author(s) -
Manucharyants E. O.,
Zvyagin I. P.
Publication year - 1974
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220650225
Subject(s) - decoupling (probability) , condensed matter physics , conductivity , semiconductor , phonon , order (exchange) , physics , quantum mechanics , materials science , mathematics , economics , engineering , control engineering , finance
It is shown that care should be taken when the phonon‐assisted hopping conductivity is evaluated using the formal expansion in powers of the electron–phonon coupling constant g . This expansion appears to be divergent in the low‐frequency range, and the divergent terms should be partially summed up to give a correct lowest‐order contribution to the conductivity. The resulting expressions can be obtained as well by using a standard decoupling procedure in the equations for the higher‐order Green's functions.