Geodesic
Stochastic equations for fluctuating potentials in the donor–acceptor systems with low compensation
Teoretičeskaâ i matematičeskaâ fizika, Tome 112 (1997) no. 2, pp. 295-307 
V. N. Likhachev; V. A. Onischuk. Stochastic equations for fluctuating potentials in the donor–acceptor systems with low compensation. Teoretičeskaâ i matematičeskaâ fizika, Tome 112 (1997) no. 2, pp. 295-307. http://geodesic.mathdoc.fr/item/TMF_1997_112_2_a6/
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     author = {V. N. Likhachev and V. A. Onischuk},
     title = {Stochastic equations for fluctuating potentials in the donor{\textendash}acceptor systems with low compensation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {295--307},
     year = {1997},
     volume = {112},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1997_112_2_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

To solve the stochastic equations for fluctuating potentials in donor?acceptor systems with low compensations $K$, an asymptotic perturbation theory is elaborated and a correction to the Fermi level of impurity electrons is calculated: $\delta\mu(K)=c_1K+c_2K^{3/2}+c_3K^2\log(1/K)+c_4K^2$. The constants $c_i$ are an asymptotic series in the powers of $\alpha=0.23$ with coefficients depending on $\Lambda$, where $1/\Lambda$ is the mean size of the local two-acceptor complex. The constant $c_1$ is proportional to $\Lambda$. Thus, despite the low compensation of two-acceptor local complexes, their structure determines the leading term of the asymptotic behavior of $\delta\mu(K)$.

[1] V. N. Likhachev, V. A. Onischuk, TMF, 111:2 (1997), 452–461 | DOI

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