Chiral $p\pm ip$ superfluid on a sphere

Abstract

We consider a spinless fermionic $p\pm ip$ superfluid living on a two-dimensional sphere. Using superfluid hydrodynamics we show that the ground state necessarily exhibits topological defects: either a pair of elementary vortices or a domain wall between $p\pm ip$ phases. In the topologically nontrivial BCS phase we identify the chiral fermion modes localized on the topological defects and compute their low-energy spectrum.

8 pages, 2 figures, published version

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Cited by in corpus (11)

• Probing topological superconductors with emergent gravity
• Geometric Induction in Chiral Superconductors
• Boundary central charge from bulk odd viscosity - chiral superfluids
• Large Charge Sector of 3d Parity-Violating CFTs
• Synthetic Landau levels and spinor vortex matter on Haldane spherical surface with magnetic monopole
• Edge Majoranas on locally flat surfaces - the cone and the Möbius band
• Geometric Induction in Chiral Superfluids
• Geometry-induced topological superconductivity
• Hall viscosity and conductivity of two-dimensional chiral superconductors
• Topological spinor vortex matter on spherical surface induced by non-Abelian spin-orbital-angular-momentum coupling
• Geometric and computational aspects of chiral topological quantum matter