We construct a theory for the semiclassical dynamics of superconducting quasiparticles by following their wave packet motion and reveal rich contents of Berry curvature effects in the phase space spanned by position and momentum. These Berry curvatures are traced back to the characteristics of superconductivity, including the nontrivial momentum-space geometry of superconducting pairing, the real-space supercurrent, and the charge dipole of quasiparticles. The Berry-curvature effects strongly influence the spectroscopic and transport properties of superconductors, such as the local density of states and the thermal Hall conductivity. As a model illustration, we apply the theory to study the twisted bilayer graphene with a $d_{x^2+y^2}+i{d}_{xy}$ superconducting gap function and demonstrate Berry-curvature induced effects.

中文翻译：

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浆果曲率对超导体准粒子动力学的影响

我们通过跟踪超导准粒子的波包运动构造了一种超经典准粒子动力学的理论，并揭示了由位置和动量跨越的相空间中的贝里曲率效应的丰富内容。这些Berry曲率可追溯到超导电性的特征，包括超导电对的非平凡动量空间几何形状，实空间超电流和准粒子的电荷偶极子。浆果曲率效应极大地影响了超导体的光谱和传输特性，例如状态的局部密度和霍尔热导率。作为模型说明，我们运用该理论研究了双分子层石墨烯的扭曲$d_{X^{\mathrm{2个}}+{ÿ}^{\mathrm{2个}}}+\mathrm{一世}{d}_{Xÿ}$ 超导间隙功能，并证明了贝里曲率诱导的作用。