6533b854fe1ef96bd12af37b

RESEARCH PRODUCT

Nonlinear electromagnetic response and Higgs-mode excitation in BCS superconductors with impurities

Mikhail Silaev

subject

SuperconductivityPhysicsScatteringCondensed Matter - SuperconductivityFOS: Physical sciences02 engineering and technology021001 nanoscience & nanotechnology01 natural sciencesElectromagnetic radiation3. Good healthSuperconductivity (cond-mat.supr-con)Nonlinear systemAmplitudeCondensed Matter::SuperconductivityQuantum electrodynamicsExcited state0103 physical sciencesHiggs boson010306 general physics0210 nano-technologyExcitation

description

We reveal that due to the presence of disorder oscillations of the order parameter amplitude called the Higgs mode can be effectively excited by the external electromagnetic radiation in usual BCS superconductors. This mechanism works for superconductors with both isotropic s-wave and anisotropic, such as d-wave, pairings. The non-linear response in the presence of impurities is captured by the quasiclassical formalism. We demonstrate that analytical solutions of the Eilenberger equation with impurity collision integral and external field drive coincide with the exact summation of ladder impurity diagrams. Using the developed formalism we show that resonant third-harmonic signal observed in recent experiments is naturally explained by the excitation of Higgs mode mediated by impurity scattering.

https://doi.org/10.1103/physrevb.99.224511