Enhanced nonlinear Hall effect by Cooper pairs near superconductor criticality
arXiv:2412.06710 · doi:10.1103/PhysRevB.111.155120
Abstract
Unlike the linear Hall effect that requires broken time-reversal symmetry, the nonlinear Hall effect may occur in time-reversal symmetric systems as long as there exists a non-zero Berry curvature dipole in the absence of inversion symmetry. Interestingly, the presence of time-reversal symmetry is consistent with and thus allows a direct transition into a superconducting phase. Indeed, superconductivity has been established in various nonlinear Hall materials, such as WTe and MoTe, at sufficiently low temperatures. We find that the nonlinear Hall response should be significantly enhanced near the superconducting criticality, dominated by the Aslamazov-Larkin (AL) contributions augmented by superconducting fluctuations, which we attribute to the Berry curvature dipole and a divergent lifetime of the Cooper pairs, instead of the single electrons. Such a controlled enhancement brings the nonlinear Hall effect into various simple experimental observations and practical applicational potentials.
17 pages, 8 figures
References in corpus (11)
- Layer Hall effect in a 2D topological Axion antiferromagnet
- Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure
- Band signatures for strong nonlinear Hall effect in bilayer WTe
- Quantum frequency doubling in the topological insulator Bi2Se3
- Giant -axis nonlinear anomalous Hall effect in T-MoTe and WTe
- Control over Berry Curvature Dipole with Electric Field in WTe2
- An antiferromagnetic diode effect in even-layered MnBi2Te4
- Photogalvanic transport in fluctuating Ising superconductors
- Rectification and nonlinear Hall effect by fluctuating finite-momentum Cooper pairs
- Nonlinear microwave response of clean superconducting films
- ac Hall Effect and Photon Drag of Superconducting Condensate