Superconductivity at very low density: the case of strontium titanate

TL;DR

This paper investigates how plasmon-mediated superconductivity can occur at very low electron densities in doped strontium titanate, providing a controllable theoretical framework that explains observed transition temperatures and features in tunneling spectra.

Contribution

It introduces a theory of plasmon-mediated superconductivity at low densities, showing it can account for experimental transition temperatures and tunneling features in strontium titanate.

Findings

Plasmon-mediated pairing explains observed superconducting transition temperatures.

Reduced screening enhances plasmon coupling in doped samples.

The mechanism accounts for surface and interface superconductivity in oxides.

Abstract

Doped strontium titanate becomes superconducting at a density as low as n = 5 x 10^17 cm^-3, where the Fermi energy is orders of magnitude smaller than the longitudinal-optical-phonon frequencies. In this limit the only optical mode with a frequency which is smaller than the Fermi energy is the plasmon. In contrast to metals, the interaction strength is weak due to screening by the crystal, which allows the construction of a controllable theory of plasmon superconductivity. We show that plasma mediated pairing alone can account for the observed transition temperatures if the screening by the crystal is reduced in the slightly doped samples compared with the insulating ones. This mechanism can also explain the pairing in the two-dimensional superconducting states observed at surfaces and interfaces with other oxides. We also discuss unique features of the plasmon mechanism, which appear in the tunneling density of states above the gap.