Cooper-pair delocalization in disordered media

@article{Arajo1998CooperpairDI,
  title={Cooper-pair delocalization in disordered media},
  author={Miguel A. N. Ara{\'u}jo and Michael Dzierzawa and Camellia Aebischer and Dionys Baeriswyl},
  journal={Physica B-condensed Matter},
  year={1998},
  volume={244},
  pages={9-14}
}
Abstract We discuss the effect of disorder on the coherent propagation of the bound state of two attracting particles. It is shown that a result analogous to the Anderson theorem for dirty superconductors is also valid for the Cooper problem, namely, that the pair wave function is extended beyond the single-particle localization length if the latter is large. A physical justification is given in terms of Thouless block-scaling picture of localization. These arguments are supplemented by… 
LOCALIZATION LENGTH IN THE COOPER PROBLEM WITH DISORDER
We study the localization properties of a bound state of two electrons in the presence of a Fermi sea of normal electrons which are Anderson localized due to disorder. We describe the bound state as
Phase de bi-particules localisées par interaction attractive dans un milieu aléatoire
Nous etudions dans cet ouvrage les effets conjugues de l'interaction et du desordre sur la localisation de particules fermioniques. Nous montrons que l'etablissement au-dessus du niveau de Fermi

References

SHOWING 1-10 OF 15 REFERENCES
Coherent Propagation of Two Interacting Particles in a Random Potential
A physical consideration is given to reinforce, interpret and generalize the result of Shepelyansky that a not too weak short-range interaction can cause correlated two-electron states to be
COMMENT ON : NO ENHANCEMENT OF THE LOCALIZATION LENGTH FOR TWO INTERACTINGPARTICLES IN A RANDOM POTENTIAL. AUTHORS REPLY
In a recent letter [Phys. Rev. Lett. 78, 515 (1997); cond-mat/9612034] Roemer and Schreiber report on numerical calculations that led them to conclude that the previously observed enhancement of the
No enhancement of the localization length for two interacting particles in a random potential
We study two interacting particles in a random potential chain by means of the transfer matrix method. The dependence of the two-particle localization length ${\ensuremath{\lambda}}_{2}$ on disorder
Two Interacting Quasiparticles Above the Fermi Sea
We study numerically the interaction and disorder effects for two quasiparticles in two and three dimensions. The dependence of the interaction-induced Breit-Wigner width on the excitation energy
Localization and interaction effects in ultrathin amorphous superconducting films
Ultrathin superconducting films of amorphous Mo-Ge were made that remain homogeneous down to approx.20 A. The expected localization behavior was observed in their resistivity-versus-temperature and
Semiconductor-superconductor transition in granular Al-Ge
The electrical resistance of granular Al-Ge specimens has been measured for various metal concentrations around the metal-insulator transition. We find that, in a narrow range of metal
Tunneling study of superconductivity near the metal-insulator transition
By electron tunneling we have studied the superconducting properties of granular aluminum as one approaches the metal-insulator transition. We find that with increasing sample resistivity, the
Coherent propagation of two interacting particles in a random potential.
It is shown that in a random potential two repulsing or attracting particles can propagate coherently on a distance ${l}_{c}$ much larger than one-particle localization length ${l}_{1}$. The
Logarithmic divergence of both in-plane and out-of-plane normal-state resistivities of superconducting La2-xSrxCuO4 in the zero-temperature limit.
The low-temperature normal-state resistivities of underdoped La2 Sr Cu04 crystals with T,. of 20 and 35 K were studied by suppressing the superconductivity with pulsed magnetic fields of 61 T. Both
Electron mobility, conductivity, and superconductivity near the metal-insulator transition
Mesure du parametre de desorder k F l dans InO x amorphe par une application nouvelle de l'effet de champ electrique de surface. Etude de sa variation par recuit thermique. Variation del la
...
1
2
...