Decay of the supercurrent in tunnel junctions

Larkin, A. I.; Ovchinnikov, Yu. N.

doi:10.1103/physrevb.28.6281

Cited by 312 publications

(379 citation statements)

References 8 publications

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“…However, this simple estimate holds only in the weak coupling regime, g < 1, that assumes E c < ∆. At stronger coupling, the Coulomb energy E c is renormalized down to the value E c →Ẽ ∼ ∆/g, (Chakravarty et al, 1987;Larkin and Ovchinnikov, 1983) due to electron tunnelling between the neighboring grains. Therefore, in the limit of the strong coupling, g ≫ 1, the effective Coulomb energyẼ is always smaller than the Josephson coupling,Ẽ < J, implying the superconducting ground state.…”

Section: B Physical Quantities Characterizing Granular Materialsmentioning

confidence: 99%

Granular electronic systems

et al. 2007

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A granular metal is an array of metallic nano-particles imbedded into an insulating matrix. Tuning the intergranular coupling strength a granular system can be transformed into either a good metal or an insulator and, in case of superconducting particles, experience superconductor-insulator transition. The ease of adjusting electronic properties of granular metals makes them most suitable for fundamental studies of disordered solids and assures them a fundamental role for nanotechnological applications. This Review discusses recent important theoretical advances in the study of granular metals, emphasizing on the interplay of disorder, quantum effects, fluctuations and effects of confinement in formation of electronic transport and thermodynamic properties of granular materials.

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Section: B Physical Quantities Characterizing Granular Materialsmentioning

confidence: 99%

Granular electronic systems

et al. 2007

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“…The corresponding length l E = v F t E is much larger or of the order of the system size L. This time determines the crossover from the classical to the quantum regime 25,26 . The question about the Ehrenfest time is becoming popular in mesoscopic physics 27,28,29 .…”

Section: Periodic Orbitsmentioning

confidence: 99%

Nonlinearσmodel for long-range disorder and quantum chaos

Efetov

Kogan

2003

Phys. Rev. B

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We suggest a new scheme of derivation of a non-linear ballistic σ-model for a long range disorder and quantum billiards. The derivation is based on writing equations for quasiclassical Green functions for a fixed long range potential and exact represention of their solutions in terms of functional integrals over supermatrices Q with the constraint Q 2 = 1. Averaging over the long range disorder or energy we are able to write a ballistic σ-model for all distances exceeding the electron wavelength (Eq. 3.13). Neither singling out slow modes nor a saddle-point approximation are used in the derivation. Carrying out a course graining procedure that allows us to get rid off scales in the Lapunov region we come to a reduced σ-model containing a conventional collision term. For quantum billiards, we demonstrate that, at not very low frequencies, one can reduce the σ-model to a one-dimensional σ-model on periodic orbits. Solving the latter model, first approximately and then exactly, we resolve the problem of repetitions.PACS: 05.45. Mt, 73.23.Ad

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“…However, the function W 0 (ρ, t) plays very important role in the semiclassical approach to some quantum mechanical problems. One of such problems arose long time ago in the study 14 of break down of the method of the quasiclassical trajectories in the superconductivity theory 15 . Another problem is the weak localization in the quantum chaos and we turn to the study of this phenomenon now.…”

Section: /2mentioning

confidence: 99%

Divergence of classical trajectories and weak localization

1996

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We study the weak localization correction (WLC) to transport coefficients of a system of electrons in a static long-range potential (e.g. an antidot array or ballistic cavity). We found that the weak localization correction to the current response is delayed by the large time tE = λ −1 | lnh|, where λ is the Lyapunov exponent. In the semiclassical regime tE is much larger than the transport lifetime. Thus, the fundamental characteristic of the classical chaotic motion, Lyapunov exponent, may be found by measuring the frequency or temperature dependence of WLC.

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Decay of the supercurrent in tunnel junctions

Cited by 312 publications

References 8 publications

Granular electronic systems

Granular electronic systems

Nonlinearσmodel for long-range disorder and quantum chaos

Divergence of classical trajectories and weak localization

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