Curvature Induced Topological Defects of $p$-wave Superfluid on a Sphere
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 $p\pm ip$ order parameters. In th...
| Main Authors: | , , |
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| Format: | Report |
| Language: | unknown |
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arXiv
2016
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| Subjects: | |
| Online Access: | https://dx.doi.org/10.48550/arxiv.1612.03380 https://arxiv.org/abs/1612.03380 |
| Summary: | 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 $p\pm ip$ 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 $p_θ+ ip_ϕ$ and $p_θ-ip_ϕ$ superfluids. : 4 pages, 3 figures |
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