论文标题

二维手性超导体的霍尔粘度和电导率

Hall viscosity and conductivity of two-dimensional chiral superconductors

论文作者

Rose, Félix, Golan, Omri, Moroz, Sergej

论文摘要

我们计算非相关性二维手性超导体的霍尔粘度和电导率,在那里,由于短距离有吸引力的电势,例如$ P+\ Mathrm {i} P $配对,并通过远程排斥库仑力进行交互。对于对数库仑电势,HALL粘度张量包含一个在低动量下是单数的贡献,该贡献编码了外部剪切应变引起的压力的校正。由于这一贡献,尽管盖利利对称性,但不能从霍尔电导率中提取大厅的粘度。对于库仑电势衰变为反距离的混合维度超导体,我们发现固有的二维超导体和超流体之间的中间行为。这些结果是通过有效和微观场理论获得的。

We compute the Hall viscosity and conductivity of non-relativistic two-dimensional chiral superconductors, where fermions pair due to a short-range attractive potential, e.g. $p+\mathrm{i}p$ pairing, and interact via a long-range repulsive Coulomb force. For a logarithmic Coulomb potential, the Hall viscosity tensor contains a contribution that is singular at low momentum, which encodes corrections to pressure induced by an external shear strain. Due to this contribution, the Hall viscosity cannot be extracted from the Hall conductivity in spite of Galilean symmetry. For mixed-dimensional chiral superconductors, where the Coulomb potential decays as inverse distance, we find an intermediate behavior between intrinsic two-dimensional superconductors and superfluids. These results are obtained by means of both effective and microscopic field theory.

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