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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2010, Volume 92, Issue 8, Pages 590–595
(Mi jetpl1447)
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CONDENSED MATTER
Penetration of hot electrons through a cold disordered wire
A. S. Ioselevichab, D. I. Pikulinab a Moscow Institute of Physics and Technology, Moscow, Russia
b Landau Institute for Theoretical Physics RAS, Moscow, Russia
Abstract:
We study a penetration of an electron with high energy $E\gg T$ through strongly disordered wire of length $L\gg a$ ($a$ being the localization length). Such an electron can loose, but not gain the energy, when hopping from one localized state to another. We have found a distribution function for the transmission coefficient $\mathcal T$. The typical $\mathcal T$ remains exponentially small in $L/a$, but with the decrement, reduced compared to the case of direct elastic tunnelling: $\overline{\ln\mathcal T}\approx 0.237\cdot 2L/a$. The distribution function has a strong tail in the domain of anomalously high $\mathcal T$; the average $\overline{\mathcal T}\propto (a/L)^{2}$ is controlled by rare configurations of disorder, corresponding to this tail.
Received: 16.09.2010
Citation:
A. S. Ioselevich, D. I. Pikulin, “Penetration of hot electrons through a cold disordered wire”, Pis'ma v Zh. Èksper. Teoret. Fiz., 92:8 (2010), 590–595; JETP Letters, 92:8 (2010), 537–542
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https://www.mathnet.ru/eng/jetpl1447 https://www.mathnet.ru/eng/jetpl/v92/i8/p590
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Abstract page: | 229 | Full-text PDF : | 54 | References: | 62 |
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