Cooper pairing and superconductivity on a spherical surface: Applying the Richardson model to a multielectron bubble in liquid helium

Tempere Jacques; Gladilin Vladimir; Silvera Isaac F.; Devreese Josef T.

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TEMPERE, Jacques, GLADILIN, Vladimir, SILVERA, Isaac F., DEVREESE, Josef T.. Cooper pairing and superconductivity on a spherical surface: Applying the Richardson model to a multielectron bubble in liquid helium. In: Physical Review B - Condensed Matter and Materials Physics, 2005, vol. 72, p. 0. ISSN 1098-0121. DOI: https://doi.org/10.1103/PhysRevB.72.094506

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Physical Review B - Condensed Matter and Materials Physics

Volumul 72 / 2005 / ISSN 1098-0121 /ISSNe 1550-235X

Cooper pairing and superconductivity on a spherical surface: Applying the Richardson model to a multielectron bubble in liquid helium

DOI:https://doi.org/10.1103/PhysRevB.72.094506

Pag. 0-0

Tempere Jacques¹², Gladilin Vladimir¹³, Silvera Isaac F.², Devreese Josef T.¹

¹ University of Antwerp,
² Howard University,
³ Moldova State University

Disponibil în IBN: 4 iulie 2023

Rezumat

Electrons in a multielectron bubble in helium form a spherical, two-dimensional system coupled to the ripplons at the bubble surface. The electron-ripplon coupling, known to lead to polaronic effects, is shown to give rise also to Cooper pairing. A Bardeen-Cooper-Schrieffer (BCS) Hamiltonian arises from the analysis of the electron-ripplon interaction in the bubble, and values of the coupling strength are obtained for different bubble configurations. The BCS Hamiltonian on the sphere is analyzed using the Richardson method. We find that although the typical ripplon energies are smaller than the splitting between electronic levels, a redistribution of the electron density over the electronic levels is energetically favorable as pairing correlations can be enhanced. The density of states of the system with pairing correlations is derived. No gap is present, but the density of states reveals a strong steplike increase at the pair-breaking energy. This feature of the density of states should enable the unambiguous detection of the proposed state with pairing correlations in the bubble, through either capacitance spectroscopy or tunneling experiments, and allow one to map out the phase diagram of the electronic system in the bubble.

Cuvinte-cheie
electron, Superfluidity, Electron Oscillations

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