Differential sum rule for the relaxation rate in dirty superconductors
نویسندگان
چکیده
We consider the differential sum rule for the effective scattering rate 1/t(v) and optical conductivity s1(v) in a dirty BCS superconductor, for arbitrary ratio of the superconducting gap D and the normal state constant damping rate 1/t . We show that if t is independent of T, the area under 1/t(v) does not change between the normal and the superconducting states, i.e., there exists an exact differential sum rule for the scattering rate. For any value of the dimensionless parameter Dt , the sum rule is exhausted at frequencies controlled by D . We show that in the dirty limit the convergence of the differential sum rule for the scattering rate is much faster then the convergence of the f-sum rule, but slower then the convergence of the differential sum rule for conductivity.
منابع مشابه
Differential sum rule for the relaxation rate in the cuprates.
Motivated by recent experiments by Basov et al., we study the differential sum rule for the effective scattering rate 1/tau(omega). We show that, in a dirty BCS superconductor, the area under 1/tau(omega) does not change between the normal and the superconducting states. For magnetically mediated pairing, a similar result holds between Tor=T(c), while, in the pseudogap phase, 1/tau(...
متن کاملScaling of the superfluid density in high-temperature superconductors
A scaling relation Nc 4.4 dcTc has been observed in the copper-oxide superconductors, where Nc is the spectral weight associated with the formation of the superconducting condensate s=8Nc, Tc is the critical temperature, and dc is the normal-state dc conductivity close to Tc. This scaling relation is examined within the context of a clean and dirty-limit BCS superconductor. These limits are wel...
متن کاملRelaxation and Thermal Conductivity of Hot and Thermal Quasiparticles and Fermi Liquid Interactions in d-wave Superconductors
In this paper, we calculate theoretically the relaxation rates of hot, thermal and antinodal quasiparticles by using Fermi’s golden rule. The transition probabilities at low temperatures express in terms of Bogoliubov coefficients, singlet and triplet scattering amplitudes and dimensionless Landau parameters. The values of Landau parameters may be determined by comparison with the experimental ...
متن کاملGeneral Features of Quantum Creep in High-Tc Superconductors
Measurements of the relaxation rate QsT d of superconducting currents have been performed on a carefully selected set of dirty and clean high-Tc superconductors for temperatures T down to 100 mK and magnetic fields up to 7 T. The extrapolated relaxation rates Qs0d for the dirty compounds indicate that the viscosity experienced by a tunneling vortex segment is grossly underestimated by the stand...
متن کاملReview of the Theoretical Description of Time-Resolved Angle-Resolved Photoemission Spectroscopy in Electron-Phonon Mediated Superconductors
We review recent work on the theory for pump/probe photoemission spectroscopy of electron-phonon mediated superconductors in both the normal and the superconducting states. We describe the formal developments that allow one to solve the Migdal-Eliashberg theory in nonequilibrium for an ultrashort laser pumping field, and explore the solutions which illustrate the relaxation as energy is transfe...
متن کامل