2016/12/11 by Ruihua Fan, Pengfei Zhang, Fan, Ruihua +3 · 1 citation
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Curvature #Dirac fermion #Domain wall (magnetism) #FOS: Physical sciences #Fermion #Field (mathematics) #Geometry #Ground state #Magnetic field #Magnetic monopole #Magnetization #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum Gases (cond-mat.quant-gas) #Quantum mechanics #Quantum, superfluid, helium dynamics #Strongly Correlated Electrons (cond-mat.str-el) #Superfluidity #Topological defect #Topology (electrical circuits) #cond-mat.quant-gas #cond-mat.str-el
paper · pdf · doi:10.48550/arxiv.1612.03380
published in arXiv (Cornell University) (Cornell University) · 4 pages, 3 figures
arxiv created 2016/12/11 · openalex publication_date 2016/12/11 · arxiv updated 2016/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the ground state of spinless fermions living on a sphere across p-wave Feschbach resonances. By construsting a microscopic model of fermions on a general curved surface, we show that the Guassian curvature induces an emergent magnetic field coupled to the p± ip order parameters. In the case of a sphere, the magnetic field corresponds to a Dirac monopole field, which causes topological defects in the superfluid ground state. Using the BCS mean field theory, we calculate its many-body ground state self consistently and give the phase diagram. The ground state may exhibit two types of topological defects, two voritces on the south and north pole or a domain wall which separates pθ+ ipϕ and pθ-ipϕ superfluids.