Bound states in a superfluid vortex: A detailed study along the BCS-BEC crossover
arXiv:1904.03883 · doi:10.1103/PhysRevB.99.134506
Abstract
The bound states that can occur in a superfluid vortex have recently called for attention owing to the capability of detecting them experimentally. However, a detailed theoretical account for the presence of these vortex bound states is still lacking, for all temperatures in the superfluid phase and couplings along the BCS-BEC crossover. Here, we fill this gap and present a systematic theoretical study based on the Bogoliubov-de~Gennes equations for the bound states that occur over the two characteristic (inner and outer) spatial ranges in which the extension of a superfluid vortex can be partitioned. It is found that the total number of bound states decreases from the BCS (weak-coupling) side of the crossover toward the intermediate-coupling region where they are still present, whereas the bound states disappear upon entering the BEC (strong-coupling) side. A scaling relation is also obtained that connects the number of bound states in the inner spatial range of the vortex to the depth and width of the vortex itself. A criterion is finally provided in terms of the local density of states, to distinguish where a given fermionic superfluid is located in the coupling-temperature phase diagram of the BCS-BEC crossover.
10 pages, 7 figures
References in corpus (17)
- Correlated Electrons in High Temperature Superconductors
- Resonantly Trapped Bound State in the Continuum Laser
- Scanning tunneling spectroscopy of high-temperature superconductors
- Andreev - Saint James reflections: a probe of cuprate superconductors
- The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
- Phase controlled superconducting proximity effect probed by tunneling spectroscopy
- From the Bogoliubov-de Gennes equations for superfluid fermions to the Gross-Pitaevskii equation for condensed bosons
- Vortices in Superfluid Fermi Gases through the BEC to BCS Crossover
- Supercurrent Spectroscopy of Andreev States
- Solution of the Bogoliubov-de Gennes equations at zero temperature throughout the BCS-BEC crossover: Josephson and related effects
- Observation of Caroli-de Gennes-Matricon Vortex States in YBaCuO
- Dispersions, weights, and widths of the single-particle spectral function in the normal phase of a Fermi gas
- Ground State Description of a Single Vortex in an Atomic Fermi gas: From BCS to Bose-Einstein Condensation
- Temperature dependence of a vortex in a superfluid Fermi gas
- Vortex spectroscopy in the vortex glass: A real-space numerical approach
- Verification of an analytic fit for the vortex core profile in superfluid Fermi gases
- Bound states and extended states around a single vortex in the d-wave superconductors