Vortex structures and zero energy states in the BCS-to-BEC evolution of p-wave resonant Fermi gases

Abstract

Multiply quantized vortices in the BCS-to-BEC evolution of p-wave resonant Fermi gases are investigated theoretically. The vortex structure and the low-energy quasiparticle states are discussed, based on the self-consistent calculations of the Bogoliubov-de Gennes and gap equations. We reveal the direct relation between the macroscopic structure of vortices, such as particle densities, and the low-lying quasiparticle state. In addition, the net angular momentum for multiply quantized vortices with a vorticity $\kappa$ is found to be expressed by a simple equation, which reflects the chirality of the Cooper pairing. Hence, the observation of the particle density depletion and the measurement of the angular momentum will provide the information on the core-bound state and $p$-wave superfluidity. Moreover, the details on the zero energy Majorana state are discussed in the vicinity of the BCS-to-BEC evolution. It is demonstrated numerically that the zero energy Majorana state appears in the weak coupling BCS limit only when the vortex winding number is odd. There exist the $\kappa$ branches of the core bound states for a vortex state with vorticity $\kappa$, whereas only one of them can be the zero energy. This zero energy state vanishes at the BCS-BEC topological phase transition, because of interference between the core-bound and edge-bound states.

15 pages, 9 figures, published version

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Cited by in corpus (35)

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• Non-adiabatic Effects in the Braiding of Non-Abelian Anyons in Topological Superconductors
• Probing Majorana fermions in spin-orbit coupled atomic Fermi gases
• Topological superfluid in one-dimensional spin-orbit coupled atomic Fermi gases
• Hidden vortices in a Bose-Einstein condensate in a rotating double-well potential
• Topological superfluid ${}^3$He-B: fermion zero modes on interfaces and in the vortex core
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Splitting and oscillation of Majorana zero modes in the p-wave BCS-BEC evolution with plural vortices
• Electronic properties of emergent topological defects in chiral $p$-wave superconductivity
• Superfluid 3He in a restricted geometry with a perpendicular magnetic field
• Structure and consequences of vortex-core states in p-wave superfluids
• The scattering amplitude of ultracold atoms near the p-wave magnetic Feshbach Resonance
• Mirror Majorana zero modes in spinful superconductors/superfluids -Non-Abelian braiding of integer quantum vortices-
• High temperature thermodynamics of strongly interacting s-wave and p-wave Fermi gases in a harmonic trap
• $AbInitio$ Simulation of Non-Abelian Braiding Statistics in Topological Superconductors
• Multifaceted properties of Andreev bound states: Interplay of symmetry and topology
• Majorana edge modes of superfluid 3He A-phase in a slab
• Zero Energy Modes and Statistics of Vortices in Spinful Chiral p-Wave Superfluids
• Odd-frequency Cooper pair amplitude around a vortex core in a chiral p-wave superconductor in the quantum limit
• Symmetry protected vortex bound state in superfluid ${}^3$He B-phase
• Ground state angular momentum, spectral asymmetry, and topology in chiral superfluids and superconductors
• Torsional chiral magnetic effect due to skyrmion textures in a Weyl superfluid ${}^3$He-A
• Size Constraints on Majorana Beamsplitter Interferometer: Majorana Coupling and Surface-Bulk Scattering
• Pairing fluctuations and anisotropic pseudogap phenomenon in an ultracold superfluid Fermi gas with plural $p$-wave superfluid phases
• Orbital angular momentum in a nonchiral topological superconductor
• Topology of quantum vacuum
• Finite temperature effects on Majorana bound states in chiral $p$-wave superconductors
• Effective Field Theory for a p-wave Superconductor in the Subgap Regime
• Dip-hump temperature dependence of Specific Heat and Effects of Pairing Fluctuations in the Weak-coupling Side of a $p$-wave Interacting Fermi Gas
• Chiral Majorana edge states in the vortex core of a $p+ip$ Fermi superfluid
• Orbital angular momentum in a topological superconductor with Chern number higher than $1$
• Shear Viscosity in the Strong Interaction Regime of a p-wave Superfluid Fermi Gas
• Vortices in Two-Dimensional Chiral Superfluids