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arXiv 1612.03380cond-mat.quant-gascond-mat.str-el
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球面上$p$波超流体的曲率诱导拓扑缺陷

Curvature Induced Topological Defects of $p$-wave Superfluid on a Sphere

Ruihua Fan, Pengfei Zhang, Zhe-Yu Shi

摘要:

我们研究了在$p$波Feschbach共振下球上无自旋费米子的基态。通过在一般曲面上建立费米子的微观模型,我们证明了高斯曲率诱导出一个与$p\pm ip$序参量耦合的出射磁场。在球体的情况下,磁场对应于狄拉克电磁场,这会导致超流基态的拓扑缺陷。用BCS平均场论计算了它的多体基态自洽,并给出了相图。基态可能表现出两种类型的拓扑缺陷,南极和北极上的两个涡或分隔$p_θ+ ip_ϕ$和$p_θ-ip_ϕ$超流体的畴壁。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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