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Author |
Sergeev, A.; Mitin, V. |
Title |
Electron-phonon interaction in disordered conductors: Static and vibrating scattering potentials |
Type |
Journal Article |
Year |
2000 |
Publication |
Phys. Rev. B. |
Abbreviated Journal |
Phys. Rev. B. |
Volume |
61 |
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9 |
Pages |
6041-6047 |
Keywords |
disordered conductors, scattering potential, electron-phonon interaction |
Abstract |
Employing the Keldysh diagram technique, we calculate the electron-phonon energy relaxation rate in a conductor with the vibrating and static δ-correlated random electron-scattering potentials. If the scattering potential is completely dragged by phonons, this model yields the Schmid’s result for the inelastic electron-scattering rate τ−1e−ph. At low temperatures the effective interaction decreases due to disorder, and τ−1e−ph∝T4l (l is the electron mean-free path). In the presense of the static potential, quantum interference of numerous scattering processes drastically changes the effective electron-phonon interaction. In particular, at low temperatures the interaction increases, and τ−1e−ph∝T2/l. Along with an enhancement of the interaction, which is observed in disordered metallic films and semiconducting structures at low temperatures, the suggested model allows us to explain the strong sensitivity of the electron relaxation rate to the microscopic quality of a particular film. |
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0163-1829 |
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307 |
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Author |
Bell, M.; Sergeev, A.; Mitin, V.; Bird, J.; Verevkin, A.; Gol’tsman, G. |
Title |
One-dimensional resistive states in quasi-two-dimensional superconductors: Experiment and theory |
Type |
Journal Article |
Year |
2007 |
Publication |
Phys. Rev. B |
Abbreviated Journal |
Phys. Rev. B |
Volume |
76 |
Issue ![sorted by Issue field, descending order (down)](img/sort_desc.gif) |
9 |
Pages |
094521 (1 to 5) |
Keywords |
uasi-two-dimensional superconductors, NbN |
Abstract |
We investigate competition between one- and two-dimensional topological excitations—phase slips and vortices—in the formation of resistive states in quasi-two-dimensional superconductors in a wide temperature range below the mean-field transition temperature TC0. The widths w=100nm of our ultrathin NbN samples are substantially larger than the Ginzburg-Landau coherence length ξ=4nm, and the fluctuation resistivity above TC0 has a two-dimensional character. However, our data show that the resistivity below TC0 is produced by one-dimensional excitations—thermally activated phase slip strips (PSSs) overlapping the sample cross section. We also determine the scaling phase diagram, which shows that even in wider samples the PSS contribution dominates over vortices in a substantial region of current and/or temperature variations. Measuring the resistivity within 7 orders of magnitude, we find that the quantum phase slips can only be essential below this level. |
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1098-0121 |
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1423 |
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Author |
Usadel, Klaus D. |
Title |
Generalized diffusion equation for superconducting alloys |
Type |
Journal Article |
Year |
1970 |
Publication |
Phys. Rev. Lett. |
Abbreviated Journal |
Phys. Rev. Lett. |
Volume |
25 |
Issue ![sorted by Issue field, descending order (down)](img/sort_desc.gif) |
8 |
Pages |
507 |
Keywords |
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Abstract |
Eilenberger's transportlike equations for a superconductor of type II can be simplified very much in the dirty limit. In this limit a diffusionlike equation is derived which is the generalization of the de Gennes-Maki theory for dirty superconductors to arbitrary values of the order parameter. |
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920 |
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Santhanam, P.; Wind, S.; Prober, D. E. |
Title |
Localization, superconducting fluctuations, and superconductivity in thin films and narrow wires of aluminum |
Type |
Journal Article |
Year |
1987 |
Publication |
Phys. Rev. B |
Abbreviated Journal |
Phys. Rev. B |
Volume |
35 |
Issue ![sorted by Issue field, descending order (down)](img/sort_desc.gif) |
7 |
Pages |
3188-3206 |
Keywords |
Al films; electron-phonon scattering; electron-electron scattering; Disordered structures; amorphous and glassy solids, Relaxation times and mean free paths, Galvanomagnetic and other magnetotransport effects |
Abstract |
We report a comprehensive set of experiments on wide and narrow thin-film strips of aluminum which test the predictions of recent localization theory. The experiments on wide films in the two-dimensional regime confirm the theoretical predictions and also yield insight into inelastic mechanisms and spin-orbit scattering rates. Our extension of the existing theory for one-dimensional systems to include spin-orbit scattering and Maki-Thompson superconducting fluctuations is verified by the experiments. We find clear evidence for one-dimensional localization, with inferred inelastic rates identical to those in two-dimensional films. The prediction of the localization theory for a dimensional crossover from two-dimensional to one-dimensional behavior is also confirmed. We have reanalyzed the results of some previous experiments on thin films and narrow wires in light of these results. |
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RPLAB @ gujma @ |
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757 |
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Author |
Romijn, J.; Klapwijk, T. M.; Renne, M. J.; Mooij, J. E. |
Title |
Critical pair-breaking current in superconducting aluminum strips far below Tc |
Type |
Journal Article |
Year |
1982 |
Publication |
Phys. Rev. B |
Abbreviated Journal |
Phys. Rev. B |
Volume |
26 |
Issue ![sorted by Issue field, descending order (down)](img/sort_desc.gif) |
7 |
Pages |
3648-3655 |
Keywords |
superconducting nanowire |
Abstract |
Critical currents of narrow, thin aluminum strips have been measured as a function of temperature. For the smallest samples uniformity of the current density is obtained over a large temperature range. Hence the intrinsic limit on the currentcarrying capacity of the superconductor was measured outside the Ginzburg-Landau -regime. The experimental values are compared with recent theoretical predictions by Kupriyanov and Lukichev. An approximate method of solving their equations is given, the results of which agree with the exact solution to within 1%. Experimental data are in excellent agreement with theoretical predictions. The absolute values agree if one assumes a Ïl value of 4×10–16 Ωm2 with vF=1.3×106 m/s. This value for Ïl is the same as that found from measurements of the anomalous skin effect but differs from values extracted from size-effect-limited resistivity. |
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Recommended by Klapwijk |
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925 |
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