Chiral Majorana edge states in the vortex core of a $p+ip$ Fermi superfluid

Abstract

We study a single vortex in a two-dimensional $p+ip$ Fermi superfluid interacting with a Bose-Einstein condensate. The Fermi superfluid is topologically non-trivial and hosts a zero-energy Majorana bound state at the vortex core. Assuming a repulsive $s$-wave contact interaction between fermions and bosons, we find that fermions are depleted from the vortex core when the bosonic density becomes sufficiently large. In this case, a dynamically-driven local interface emerges between fermions and bosons, along which chiral Majorana edge states should appear.We examine in detail the variation of vortex-core structures as well as the formation of chiral Majorana edge states with increasing bosonic density. In particular, when the angular momentum of the vortex matches the chirality of the Fermi superfluid, the Majorana zero mode and normal bound states within the core continuously evolve into chiral Majorana edge states. Otherwise, a first-order transition occurs in the lowest excited state within the core, due to the competition between counter-rotating normal bound states in forming chiral Majorana edge states. Such a transition is manifested as a sharp peak in the excitation gap above the Majorana zero mode, at which point the Majorana zero mode is protected by a large excitation gap.Our study presents an illuminating example on how topological defects can be dynamically controlled in the context of cold atomic gases.

arXiv comment6 pages 6 figures

References in corpus (36)

• Topological Insulators
• Topological insulators and superconductors
• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
• Chiral Majorana edge state in a quantum anomalous Hall insulator-superconductor structure
• A Mixture of Bose and Fermi Superfluids
• Quantum Computation Using Vortices and Majorana Zero Modes of a $p_x$ + $i{p}_y$ Superfluid of Fermionic Cold Atoms
• Edge modes, edge currents, and gauge invariance in $p_x+i{p}_y$ superfluids and superconductors
• Quantum phase transitions across p-wave Feshbach resonance
• Two-Dimensional Homogeneous Fermi Gases
• Topological Fulde-Ferrel-Larkin-Ovchinnikov states in Spin-orbit Coupled Fermi Gases
• Edge states and tunneling of non-Abelian quasiparticles in the nu=5/2 quantum Hall state and p+ip superconductors
• Two-Element Mixture of Bose and Fermi Superfluids
• Observation of two-species vortex lattices in a mixture of mass-imbalance Bose and Fermi superfluids
• Zero modes of two-dimensional chiral p-wave superconductors
• An Index Theorem for the Majorana Zero Modes in Chiral P-Wave Superconductors
• Probing Majorana fermions in spin-orbit coupled atomic Fermi gases
• Role of the Majorana Fermion and the Edge Mode in Chiral Superfluidity near a p-Wave Feshbach Resonance
• Observation of a Degenerate Fermi Gas Trapped by a Bose-Einstein Condensate
• Majorana fermions of a two-dimensional Px+iPy superconductor
• Universal impurity-induced bound state in topological superfluids
• Vortex Charging Effect in a Chiral $p_x\pm i{p}_y$-Wave Superconductor
• Vortex structures and zero energy states in the BCS-to-BEC evolution of p-wave resonant Fermi gases
• Majorana bound state in rotating superfluid 3He-A between parallel plates
• Tunneling conductance due to discrete spectrum of Andreev states
• Majorana bands, Berry curvature, and thermal Hall conductivity in the vortex state of a chiral p-wave superconductor
• Structure and consequences of vortex-core states in p-wave superfluids
• Symmetry protected vortex bound state in superfluid ${}^3$He B-phase
• Impurity Effects on Bound States in the Vortex Core of Topological S-wave Superconductor
• Vortex-core structure in a mixture of Bose and Fermi superfluids

Cited by in corpus (1)

• s- and p-superfluidity of Fermi atoms in Bose-Fermi mixtures