Self-consistent description of Andreev bound states in Josephson quantum dot devices

By T. Meng, P. Simon, S. Florens. 2009

135 citations recorded by the source corpus.

We develop a general perturbative framework based on a superconducting atomic limit for the description of Andreev bound states (ABS) in interacting quantum dots connected to superconducting leads. A local effective Hamiltonian for dressed ABS, including both the atomic (or molecular) levels and the induced proximity effect on the dot is argued to be a natural starting point. A self-consistent expansion in single-particle tunneling events is shown to provide accurate results even in regimes where the superconducting gap is smaller than the atomic energies, as demonstrated by a comparison to recent numerical renormalization group calculations. This simple formulation may have bearings for interpreting Andreev spectroscopic experiments in superconducting devices, such as scanning tunnel microscope measurements on carbon nanotubes or radiative emission in optical quantum dots.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/d537f929e9af359200b0eef262fc4c948aa640c9

Citations in the corpus

• Andreev bound states in supercurrent-carrying carbon nanotubes revealed (2010, unknown): “For sufficiently large Ũ (respectively, E), however, the two outer (respectively, all) ABS merge with the continuum and are no longer visible in the spectrum [24–26].”