Electron-electron scattering in the intraband optical conductivity of Cu, Ag, and Au

Beach, Rotem; Christy, R. W.

doi:10.1103/physrevb.16.5277

Cited by 138 publications

(96 citation statements)

References 25 publications

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“…The plasma resonance angular frequency ω P is related to the ratio of the free electron density N to the electron effective mass m (ω P ∝ (N/m) ; m, 0.1m e -0.9m e for most semiconductors such as Si, GaAs, and InP). (17)(18)(19)(20)(21) On the other hand, there is a significant disparity when it comes to the relaxation time τ. For Pd, this figure of merit is 9 times lower than that for Au and 30 times lower than that for Ag.…”

Section: Resultsmentioning

confidence: 99%

Plasmonic Hydrogen Sensor at Infrared Wavelengths

2017

Sensors and Materials

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We have investigated the variations in the transmission spectra of nanodiscs as well as metal hole array plasmonic structures as a result of the hydrogen adsorption-desorption processes. The structures have been shown to be a viable platform for all-optical hydrogen sensing in the infrared. In cases of both nanodisc and metal hole arrays, upon exposure to hydrogen, a redshift of the plasmon resonance band was observed. Response time as well as the magnitude of the spectral shift was similar for both plasmonic structure types.

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Section: Resultsmentioning

confidence: 99%

Plasmonic Hydrogen Sensor at Infrared Wavelengths

2017

Sensors and Materials

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“…Summary of experimental observations: Disagreement with the Fermi-liquid theory Now we turn to the discussion of the existing experimental data on the Ω/T scaling of the optical resistivity. Although the Ω 2 dependence of Reρ(Ω, T ) was convincingly demonstrated in "weakly correlated metals" (Au,Ag, and Cu), 25 the T dependence, if measured, was found to result from the electron-phonon rather than the electron-electron interaction. This is not surprising since the electron-electron interaction in these metals is relatively weak and one needs to go to very low temperatures to observe the T 2 dependence.…”

Section: Comparison To Experimentsmentioning

confidence: 99%

First-Matsubara-frequency rule in a Fermi liquid. II. Optical conductivity and comparison to experiment

Maslov

Chubukov

2012

Phys. Rev. B

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Motivated by recent optical measurements on a number of strongly correlated electron systems, we revisit the dependence of the conductivity of a Fermi liquid, σ(Ω, T ), on the frequency Ω and temperature T . Using the Kubo formalism and taking full account of vertex corrections, we show that the Fermi liquid form Reσ −1 (Ω, T ) ∝ Ω 2 + 4π 2 T 2 holds under very general conditions, namely in any dimensionality above one, for a Fermi surface of an arbitrary shape (but away from nesting and van Hove singularities), and to any order in the electron-electron interaction. We also show that the scaling form of Reσ −1 (Ω, T ) is determined by the analytic properties of the conductivity along the Matsubara axis. If a system contains not only itinerant electrons but also localized degrees of freedom which scatter electrons elastically, e.g., magnetic moments or resonant levels, the scaling form changes to Reσ −1 (Ω, T ) ∝ Ω 2 + bπ 2 T 2 , with 1 ≤ b < ∞. For purely elastic scattering, b = 1. Our analysis implies that the value of b ≈ 1, reported for URu2Si2 and some rare-earth based doped Mott insulators, indicates that the optical conductivity in these materials is controlled by an elastic scattering mechanism, whereas the values of b ≈ 2.3 and b ≈ 5.6, reported for underdoped cuprates and organics, correspondingly, imply that both elastic and inelastic mechanisms contribute to the optical conductivity.

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“…In this paper, secondly, we study the cancelling concentrations p c1 and p c2 at which Re c e or Im c e vanish, respectively, and their dependence on temperature by use of effective medium approximation (EMA) [11], which can be valid for the whole concentration range. Careful examination of the temperature dependence of metallic linear optical properties with account of the dependence of both electron±elec-tron and electron±phonon scattering on the temperature [12,13] can be in favor of determining that of effective linear optical response. The effective nonlinear optical properties Re c e , Im c e and jc e j are then calculated by combining decoupling approximation [6] with spectral representation [9,14].…”

Section: Introductionmentioning

confidence: 99%

Temperature Dependence of Nonlinear Optical Properties in Metal/Dielectric Composites

Gao

2000

phys. stat. sol. (b)

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Temperature‐dependent nonlinear optical properties including the real part, imaginary part and the magnitude of effective nonlinear optical susceptibility ξe in metal/dielectric composites are studied by means of the decoupling approximation and spectral representation. The variation of these physical parameters with temperature is obtained by taking into account the temperature dependence of metallic optical properties. Numerical results in Ag/MgF2 composites show that the temperature has much significant influence on the strength of nonlinear properties especially in the surface plasmon resonance band (SPRB), but does not shift the location of the resonance band. Temperature‐independent cancelling concentrations pc1 and pc2, at which the real part Reξe or the imaginary part Im (ξe) go to zero, respectively, are predicted. We also find that the enhancement of |ξe| at a certain frequency (ω ≈︂ 8.3 eV/ħ, close to the plasmon frequency ωP 9.06 ≈︂ eV/ħ, is large and can be easily sustained to high temperatures.

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Electron-electron scattering in the intraband optical conductivity of Cu, Ag, and Au

Cited by 138 publications

References 25 publications

Plasmonic Hydrogen Sensor at Infrared Wavelengths

Plasmonic Hydrogen Sensor at Infrared Wavelengths

First-Matsubara-frequency rule in a Fermi liquid. II. Optical conductivity and comparison to experiment

Temperature Dependence of Nonlinear Optical Properties in Metal/Dielectric Composites

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