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arXiv 2008.08276cond-mat.supr-conhep-th
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超流$^3$ He A相的Hall粘度

Hall viscosity in the A-phase of superfluid $^3$He

Takuya Furusawa, Keisuke Fujii, Yusuke Nishida

摘要:

我们构造了超流$^3$ He A相的有效场论,直到导数展开的次领先阶。为此,我们通过引入背景规范场和空间度规,在弯曲空间上对该理论的内部整体对称性进行了规范,从而揭示了一个隐藏的局部对称性,即非相对论性的非对称性。非相对论性的非对称性对于产生对有效场论的附加约束和揭示A相中霍尔粘度的普遍表达式特别有用。我们发现它比B相在磁场下的大五个数量级,从而使通过测量声波的感生椭圆极化来进行实验观察更可行。

英文摘要:

We construct the effective field theory for the A-phase of superfluid $^3$He up to the next-to-leading order in the derivative expansion. To this end, we gauge the internal global symmetries of the theory on the curved space by introducing the background gauge fields and spatial metric so as to expose a hidden local symmetry known as the nonrelativistic diffeomorphism. The nonrelativistic diffeomorphism is particularly useful to yield an additional constraint on the effective field theory and reveal a universal expression for the Hall viscosity in the A-phase. We find it five orders of magnitude larger than that in the B-phase under a magnetic field so that its experimental observation is more feasible by measuring the induced elliptic polarization of sound waves.

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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