BCS theory of driven superconductivity

Abstract

We study the impact of a time-dependent external driving of the lattice phonons in a minimal model of a BCS superconductor. Upon evaluating the driving-induced vertex corrections of the phonon-mediated electron-electron interaction, we show that parametric phonon driving can be used to elevate the critical temperature $T_c$, while a dipolar phonon drive has no effect. We provide simple analytic expressions for the enhancement factor of $T_c$. Furthermore, a mean-field analysis of a nonlinear phonon-phonon interaction also shows that phonon anharmonicities further amplify $T_c$. Our results hold universally for the large class of normal BCS superconductors.

References in corpus (19)

• An optically stimulated superconducting-like phase in K3C60 far above equilibrium Tc
• Nonlinear phononics: A new ultrafast route to lattice control
• Nonlinear lattice dynamics as a basis for enhanced superconductivity in YBa2Cu3O6.5
• Higgs Amplitude Mode in BCS Superconductors Nb${}_{1-x}$Ti${}_x$N induced by Terahertz Pulse Excitation
• Optically enhanced coherent transport in YBa2Cu3O6.5 by ultrafast redistribution of interlayer coupling
• Optically induced coherent transport far above Tc in underdoped YBa2Cu3O6+x
• Theory of nonlinear phononics for coherent light-control of solids
• Coherent dynamics of macroscopic electronic order through a symmetry-breaking transition
• Tracking Cooper Pairs in a Cuprate Superconductor by Ultrafast Angle-Resolved Photoemission
• Ultrafast melting of a charge-density wave in the Mott insulator 1T-TaS2
• Theory of light-enhanced phonon-mediated superconductivity
• Pair-breaking and superconducting state recovery dynamics in MgB2
• Spatially resolved ultrafast magnetic dynamics launched at a complex-oxide hetero-interface
• Nodal quasiparticle meltdown in ultra-high resolution pump-probe angle-resolved photoemission
• Direct observation of Higgs mode oscillations in the pump-probe photoemission spectra of electron-phonon mediated superconductors
• THz-Frequency Modulation of the Hubbard U in an Organic Mott Insulator
• Nonequilibrium enhancement of high-temperature superconductivity in a 3D model of cuprates
• The anharmonic electron-phonon problem
• Multiple amplitude modes in strongly-coupled phonon-mediated superconductors

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