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It has been predicted that emergent chiral magnetic fields can be generatedby crystal deformation in Weyl/Dirac metals and superconductors. The emergentfields give rise to chiral anomaly phenomena as in the case of Weyl semimetalswith usual electromagnetic fields. Here, we clarify effects of the chiralmagnetic field on Cooper pairs in Weyl/Dirac superconductors on the basis ofthe Ginzburg-Landau equation microscopically derived from the quasiclassicalEilenberger formalism. It is found that Cooper pairs are affected by theemergent chiral magnetic field in a dramatic way, and the pseudo-Lorentz forcedue to the chiral magnetic field stabilizes the Fulde-Ferrell state and causesa charge/spin supercurrent which flows parallel to the chiral magnetic field inthe case of Weyl/Dirac superconductors. This effect is in analogy with thechiral magnetic effect (CME) of Weyl semimetals. In addition, we elucidate thatneither Meissner effect nor vortex state due to chiral magnetic fields occurs.

Charge/Spin Supercurrent and the Fulde-Ferrell State Induced by Crystal Deformation in Weyl/Dirac Superconductors