Edge current and orbital angular momentum of chiral superfluids revisited
Edge current and orbital angular momentum of chiral superfluids revisited
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重新审视手性超流体的边缘电流和轨道角动量
DOI：
10.1103/physrevb.102.054502
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发表时间：
2020
影响因子：
3.7
通讯作者：
Hong Yao
中科院分区：
文献类型：
--
作者：
Wenxing Nie;Wen Huang;Hong Yao
手性超流体中的库珀对携带相对轨道角动量（OAM）的量子化单位。对二维手征超流体的本征OAM密度或宏观OAM的各种预测相差几个数量级，这构成了所谓的角动量悖论。根据以前的一些研究，我们证实了半经典Bogoliubov-德Gennes理论的单粒子边缘电流和OAM在二维手征超流体中的BCS限制。该分析为非p波手征超流体（如d+id）在刚性势场中的OAM消失提供了一个简单直观的理解。当推广到各向异性手征超导体和三维手征超流体时，该理论同样得到了准确的描述。我们还提出了一个详细的数值研究的手征相的BEC极限。我们的研究表明，在BCS和BEC阶段，个别库珀对的相对OAM贡献的总OAM加和，在这两个阶段，相应的宏观OAM密度分布是本地化的边界。
Cooper pairs in chiral superfluids carry quantized units of relative orbital angular momentum (OAM). Various predictions of the intrinsic OAM density or the macroscopic OAM of a two-dimensional chiral superfluid differ by several orders of magnitude, which constitute the so-called angular momentum paradox. Following several previous studies, we substantiate the semiclassical Bogoliubov--de Gennes theory of the single-particle edge current and OAM in two-dimensional chiral superfluids in the BCS limit. The analysis provides a simple intuitive understanding for the vanishing of OAM for a non-$p$-wave chiral superfluid (such as $d+id$) confined in a rigid potential. When generalized to anisotropic chiral superconductors and three-dimensional chiral superfluids, the theory similarly returns an accurate description. We also present a detailed numerical study of the chiral phases in the BEC limit. Our study suggests that, in both BCS and BEC phases, the relative OAM of the individual Cooper pairs contribute to the total OAM additively, and that in both phases the corresponding macroscopic OAM density distribution is localized at the boundary.