Determination of the Coherence Length and the Cooper-Pair Size in Unconventional Superconductors by Tunnelling Spectroscopy

Abstract

The main purpose of the paper is to discuss a possibility of the determination of the values of the coherence length and the Cooper-pair size in unconventional superconductors by using tunnelling spectroscopy. In the mixed state of type-II superconductors, an applied magnetic field penetrates the superconductor in the form of vortices which form a regular lattice. In unconventional superconductors, the inner structure of a vortex core has a complex structure which is determined by the order parameter of the superconducting state and by the pairing wavefunction of the Cooper pairs. In clean superconductors, the spatial variations of the order parameter and the pairing wavefunction occur over the distances of the order of the coherence length and the Cooper-pair size, respectively. Therefore, by performing tunnelling spectroscopy along a line passing through a vortex core, one is able, in principle, to estimate the values of the coherent length and the Cooper-pair size.

13 pages, including 17 figures

References in corpus (5)

• Vortex Imaging in the pi-Band of Magnesium Diboride
• Ginzburg-Landau theory of vortices in a multi-gap superconductor
• STM study of multiband superconductivity in NbSe2 using a superconducting tip
• Room-Temperature Superconductivity
• Quasi-One-Dimensional Topological-Excitation Liquid in Bi2212 from Tunneling Spectroscopy

Cited by in corpus (4)

• Fabrication of high-temperature quasi-two-dimensional superconductors at the interface of a ferroelectric Ba${}_{0.8}$Sr${}_{0.2}$TiO${}_3$ film and an insulating parent compound of La${}_2$CuO${}_4$
• Aharonov-Bohm and Aharonov-Casher effects for local and nonlocal Cooper pairs
• Anisotropy of Yu-Shiba-Rusinov states in NbSe${}_2$
• An exotic proposal on Cooper pairing in high-$T_c$ supercondutors