Damping of the Collective Amplitude Mode in Superconductors with Strong Electron-Phonon Coupling
arXiv:1604.08073 · doi:10.1103/PhysRevB.94.115126
Abstract
We study the effect of strong electron-phonon interactions on the damping of the Higgs amplitude mode in superconductors by means of non-equilibrium dynamical mean-field simulations of the Holstein model. In contrast to the BCS dynamics, we find that the damping of the Higgs mode strongly depends on the temperature, becoming faster as the systen approaches the transition temperature. The damping at low temperatures is well described by a power-law, while near the transition temperature the damping shows exponential-like behavior. We explain this crossover by a temperature-dependent quasiparticle lifetime caused by the strong electron- phonon coupling, which smears the superconducting gap edge and makes the relaxation of the Higgs mode into quasiparticles more efficient at elevated temperatures. We also reveal that the phonon dynamics can soften the Higgs mode, which results in a slower damping.
arXiv comment7 pages,6 figures
References in corpus (28)
- Nonequilibrium dynamical mean-field theory and its applications
- Nonlinear phononics: A new ultrafast route to lattice control
- Higgs Amplitude Mode in BCS Superconductors NbTiN induced by Terahertz Pulse Excitation
- Amplitude / Higgs Modes in Condensed Matter Physics
- Solitons and Rabi Oscillations in a Time-Dependent BCS Pairing Problem
- Synchronization in the BCS Pairing Dynamics as a Critical Phenomenon
- Theory of Anderson pseudospin resonance with Higgs mode in superconductors
- Amplitude `Higgs' mode in 2H-NbSe2 Superconductor
- Dynamical vanishing of the order parameter in a fermionic condensate
- Theory of light-enhanced phonon-mediated superconductivity
- Dynamical band flipping in fermionic lattice systems: An ac-field-driven change of the interaction from repulsive to attractive
- Polaron Crossover and Bipolaronic Metal-Insulator Transition in the half- filled Holstein model
- Coupling of Higgs and Leggett modes in nonequilibrium superconductors
- Direct observation of Higgs mode oscillations in the pump-probe photoemission spectra of electron-phonon mediated superconductors
- Nonequilibrium dynamics of weakly and strongly paired superconductors
- Transient Dynamics of d-wave Superconductors after a Sudden Excitation
- Nature and Raman signatures of the Higgs amplitude mode in the coexisting superconducting and charge-density-wave state
- Non-relativistic dynamics of the amplitude (Higgs) mode in superconductors
- Interaction quench in the Holstein model: Thermalization crossover from electron- to phonon-dominated relaxation
- Signatures of nonadiabatic BCS state dynamics in pump-probe conductivity
- Quantitative reliability of Migdal-Eliashberg theory for strong electron-phonon coupling
- Vibrational spectrum and electron-phonon coupling of doped solid picene from first principles
- Conserving approximations for the attractive Holstein and Hubbard models
- Time-dependent many-body treatment of electron-boson dynamics: application to plasmon-accompanied photoemission
- Multiple amplitude modes in strongly-coupled phonon-mediated superconductors
- Resonant generation of coherent phonons in a superconductor by ultrafast optical pump pulses
- Many-body Green's function theory for electron-phonon interactions: the Kadanoff-Baym approach to spectral properties of the Holstein dimer
- Breakdown of Migdal--Eliashberg theory via catastrophic vertex divergence at low phonon frequency
Cited by in corpus (15)
- Higgs Mode in Superconductors
- Nonequilibrium steady states and transient dynamics of conventional superconductors under phonon driving
- Amplitude Higgs mode and admittance in superconductors with a moving condensate
- Photo-induced enhancement of excitonic order
- Nonlinear optical response of collective modes in multiband superconductors assisted by nonmagnetic impurities
- Infrared activation of the Higgs mode by supercurrent injection in superconducting NbN
- Nonlinear light-Higgs coupling in superconductors beyond BCS: Effects of the retarded phonon-mediated interaction
- Collective Modes in Excitonic Insulators: Effects of Electron-Phonon Coupling and Signatures in Optical Response
- Theory of coherent oscillations detection in THz pump-probe spectroscopy: from phonons to electronic collective modes
- Ultrafast nonequilibrium evolution of excitonic modes in semiconductors
- Tracing the nonequilibrium topological state of Chern insulators
- Nonequilibrium susceptibility in photoinduced Floquet states
- Higgs mode mediated enhancement of interlayer transport in high- cuprate superconductors
- Chirped amplitude mode in photo-excited superconductors
- Higgs physics in superconductors