Optical conductivity and carrier relaxation rate in the normal state of high Tc thin films

Azrak, A. El; Nahoum, R.; Boccara, A. C.; Bontemps, N.; Guilloux-Viry, M.; Thivet, C.; Перрин, А.; Li, Z.Z.; Raffy, H.

doi:10.1016/0925-8388(93)90825-8

Cited by 19 publications

(10 citation statements)

References 14 publications

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“…In the strange metal region of the phase diagram for cuprates, it was observed in [13,38] that the optical conductivity for Bi-2212 has two different scaling regions: (i) for ω < T , it has a Drude form with 1 τ ∼ T reflecting temperature as the only scale, and (ii) for ω > T , σ(ω) = C(iω) γ−2 with γ ≈ 1.33. In region (i) the strange metal appears to be consistent with the Marginal Fermi Liquid behavior with ν k F = 1 2 .…”

Section: DC and Optical Conductivitiesmentioning

confidence: 99%

From black holes to strange metals

Faulkner¹,

Iqbal²,

Liu³

et al. 2010

Preprint

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Since the mid-eighties there has been an accumulation of metallic materials whose thermodynamic and transport properties differ significantly from those predicted by Fermi liquid theory.Examples of these so-called non-Fermi liquids include the strange metal phase of high transition temperature cuprates, and heavy fermion systems near a quantum phase transition. We report on a class of non-Fermi liquids discovered using gauge/gravity duality. The low energy behavior of these non-Fermi liquids is shown to be governed by a nontrivial infrared (IR) fixed point which exhibits nonanalytic scaling behavior only in the temporal direction. Within this class we find examples whose single-particle spectral function and transport behavior resemble those of strange metals. In particular, the contribution from the Fermi surface to the conductivity is inversely proportional to the temperature. In our treatment these properties can be understood as being controlled by the scaling dimension of the fermion operator in the emergent IR fixed point.

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Section: DC and Optical Conductivitiesmentioning

confidence: 99%

From black holes to strange metals

Faulkner¹,

Iqbal²,

Liu³

et al. 2010

Preprint

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“…6 shows how strikingly linear it is for a pure single crystal of YBa2Cu307, while Fig. 7 shows that over a very broad range of energies, from -100 cm-1 to nearly 104 cm-1, the complex conductivity is proportional to (iW)-l+2a (22). This observation also has an implication about the type of theory that is relevant.…”

mentioning

confidence: 81%

New physics of metals: fermi surfaces without Fermi liquids.

Anderson

1995

Proc. Natl. Acad. Sci. U.S.A.

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I relate the historic successes, and present difficulties, ofthe renormalized quasiparticle theory ofmetals ("AGD" or Fermi liquid theory). I then describe the bestunderstood example of a non-Fermi liquid, the normal metallic state of the cuprate superconductors.For some 40 years, almost all electronic phenomena in metals have been interpreted in terms of a general theoretical framework, which one could variously call renormalized free particle theory, Fermi liquid theory, or "AGD" after the best-known book on the subject (1).I came to the conclusion a few years ago that this theory is, in many of the most interesting cases, basically a failure. For the first 20 years of its history, until the mid-1970s, it served us very well; but then as we began to focus on the most interesting (or the most anomalous) cases, more and more of the copious literature of our subject came to be engaged in fitting the proverbial square peg into a round hole. It is not that there are no instances that fit the framework but that, contrary to the claims for universality which have been made for it, it seems that for systems with strong interactions, it often is completely misguiding.To make my point I must first describe the nature of this conventional theory. It arose in the 1950s, just after the successes of the Schwinger-Feynman-Dyson theory in quantum electrodynamics, and it borrows the techniques that were so successful in that theory. In quantum electrodynamics, the scheme was to map the properties of the real physical vacuum and the real physical particle excitations onto the corresponding entities of a supposed bare vacuum with bare particles by the process of renormalization. One defines a propagator or Green's function, G(r -r', t -t'), which is the amplitude for finding a particle at point r and time t if it was inserted at point r' and time t' into the real vacuum. The particle can encounter various interactions with vacuum fluctuations on the way, which are sorted out into a series with Feynman diagrams. If this series is well-behaved, its sum can be written in terms of a self-energy, which merely renormalizes the unperturbed propagator without changing its essential character.In the condensed matter physics of metals there is no vacuum, but there is a Fermi sea if the electrons are noninteracting. This is treated formally as a vacuum in which both hole and particle excitations can propagate, in parallel to the treatment in quantum electrodynamics of the Dirac sea of negative-energy electrons as a vacuum for positrons. There is a surface in p space of zero energy, the Fermi surface. The unperturbed Green's function [Fourier transformed into momentum (p) and energy (t) space] is 1 G(o,p) = -(e -,

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“…The "extended Drude" model also assumes a specific form for P (ω) that may be derived by renormalising Ω P in (9), shown to agree with the experiment in a broad frequency range. To compare with data of [16] and their discussion in [15], results are plotted in terms of frequency dependence of charge carrier effective mass and inverse relaxation time in Fig. 2.…”

Section: Phenomenological Modelmentioning

confidence: 99%

“…The outcome seems to be still highly controversial, not only concerning the Cooper-pair response, but also in the normal phase. For example, Anderson [15], based on the data of [16], considers that the response of YBa 2 Cu 3 O 7−δ is compatible with the holon-spinon model. But the example of Fig.…”

Section: Introductionmentioning

confidence: 96%

Infrared reflectivity spectroscopy of electron-phonon interactions

Gervais

Lobo

1997

Zeitschrift für Physik B Condensed Matter

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The crucial role of electron-phonon interactions and their signatures in optical conductivity deduced from the analysis of infrared-visible reflection spectra is reviewed. The usefulness of a general phenomenological model able to describe the couplings of phonons, polarons, plasmon, superconducting condensate, is discussed. Among other examples of applications, the problem of the signature of Cooper pair condensation in the superconducting phase of high-T c cuprates is discussed in the framework of London and Mattis-Bardeen models.

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Optical conductivity and carrier relaxation rate in the normal state of high Tc thin films

Cited by 19 publications

References 14 publications

From black holes to strange metals

From black holes to strange metals

New physics of metals: fermi surfaces without Fermi liquids.

Infrared reflectivity spectroscopy of electron-phonon interactions

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