Infrared conductivity in the normal state of cuprate thin films

Baraduc, C.; Azrak, A. El; Bontemps, N.

doi:10.1007/bf00728415

Cited by 17 publications

(17 citation statements)

References 15 publications

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“…• An anomalous power-law dependence of the optical conductivity, σ(ω) ∼ 1/ω γ , over an extended range of frequencies, differing from conventional Drude behavior. This is observed in cuprates (Baraduc et al, 1996;El Azrak et al, 1994;Hwang et al, 2007;van der Marel et al, 2003;Schlesinger et al, 1990) and has also been reported in other materials (Dodge et al, 2000;Kostic et al, 1998;Limelette et al, 2013;Mena et al, 2003;Phanindra et al, 2018;Schwartz et al, 1998). This is also often accompanied by (ω/T )−scaling as a function of temperature, i.e.…”

Section: A Experimental Signatures Of Non-fermi Liquidssupporting

confidence: 62%

Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids

Chowdhury,

Georges,

Parcollet

et al. 2021

Preprint

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We present a review of the Sachdev-Ye-Kitaev (SYK) model of compressible quantum many-body systems without quasiparticle excitations, and its connections to various theoretical studies of non-Fermi liquids in condensed matter physics. The review is placed in the context of numerous experimental observations on correlated electron materials. Strong correlations in metals are often associated with their proximity to a Mott transition to an insulator created by the local Coulomb repulsion between the electrons. We explore the phase diagrams of a number of models of such local electronic correlation, employing a dynamical mean field theory in the presence of random spin exchange interactions. Numerical analyses and analytical solutions, using renormalization group methods and expansions in large spin degeneracy, lead to critical regions which display SYK physics. The models studied include the single-band Hubbard model, the t-J model and the two-band Kondo-Heisenberg model in the presence of random spin exchange interactions. We also examine non-Fermi liquids obtained by considering each SYK model with random four-fermion interactions to be a multi-orbital atom, with the SYK-atoms arranged in an infinite lattice. We connect to theories of sharp Fermi surfaces without any low-energy quasiparticles in the absence of spatial disorder, obtained by coupling a Fermi liquid to a gapless boson; a systematic large N theory of such a critical Fermi surface, with SYK characteristics, is obtained by averaging over an ensemble

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Section: A Experimental Signatures Of Non-fermi Liquidssupporting

confidence: 62%

Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids

Chowdhury,

Georges,

Parcollet

et al. 2021

Preprint

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“…Similar studies in the context of simplified models were previously carried out by Rozenberg et al (1995a) and by Kajueter and Kotliar (1997). Baldassarre et al (2008) emphasized that for the theory to quantitatively agree with experiment, it was important to include the variation of the lattice structure with temperature. The ratio c=a was taken from experiment (McWhan et al, 1969) and is plotted in the inset of Fig.…”

Section: F Electronic Phase Separationmentioning

confidence: 63%

“…The power law behavior behavior is therefore necessarily be limited to frequencies below some finite ultraviolet cutoff. son, 1997; Baraduc et al, 1996). A crucial check therefore consists of a measurement of the phase angle of the optical conductivity, Arg{σ(ω)}.…”

Section: E Power Law Behavior Of Optical Constants and Quantum Critic...mentioning

confidence: 99%

Electrodynamics of correlated electron materials

et al. 2011

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Studies of the electromagnetic response of various classes of correlated electron materials including transition-metal oxides, organic and molecular conductors, intermetallic compounds with d and f electrons, as well as magnetic semiconductors are reviewed. Optical inquiry into correlations in all these diverse systems is enabled by experimental access to the fundamental characteristics of an ensemble of electrons including their self-energy and kinetic energy. Steady-state spectroscopy carried out over a broad range of frequencies from microwaves to UV light and fast optics timeresolved techniques provides complimentary prospectives on correlations. Because the theoretical understanding of strong correlations is still evolving, the review is focused on the analysis of the universal trends that are emerging out of a large body of experimental data augmented where possible with insights from numerical studies.

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“…They only serve to correct the frequency dependence of the MFL spectrum that is known not to fit well over a wider range of frequencies. 19,20,37 …”

Section: Conductivity and Kubo-mfl Fitmentioning

confidence: 99%

“…Kubo-MFL analysis ͑see Sec. II D for a detailed description͒ has been used by Littlewood et al, 23 Baraduc et al, 20 and Abrahams. 24 To improve the overall accuracy, we fit the reflectance curves to models, avoiding the additional Kramers-Kronig ͑KK͒ analysis required to calculate the conductivity and the scattering rates ͑see Sec.…”

Section: Introductionmentioning

confidence: 99%

Marginal Fermi liquid analysis of 300 K reflectance ofBi2Sr2CaCu
Hwang
¹
,
Timusk
²
,
Puchkov
³

et al. 2004
Phys. Rev. B
31
7
26
0
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We use 300 K reflectance data to investigate the normal-state electrodynamics of the high-temperature superconductor Bi 2 Sr 2 CaCu 2 O 8ϩ␦ over a wide range of doping levels. The data show that at this temperature the free carriers are coupled to a continuous spectrum of fluctuations. Assuming the marginal Fermi-liquid ͑MFL͒ form as a first approximation for the fluctuation spectrum, the doping-dependent coupling constant (p) can be estimated directly from the slope of the reflectance spectrum. We find that (p) decreases smoothly with the hole doping level, from underdoped samples with pϭ0.103 (T c ϭ67 K) where (p) ϭ0.93 to overdoped samples with pϭ0.226 (T c ϭ60 K) where (p)ϭ0.53. An analysis of the intercept and curvature of the reflectance spectrum shows deviations from the MFL spectrum symmetrically placed at the optimal doping point pϭ0.16. The Kubo formula for the conductivity gives a better fit to the experiments with the MFL spectrum up to 2000 cm Ϫ1 and with an additional Drude component or an additional Lorentz component up to 7000 cm Ϫ1 . By comparing three different model fits we conclude that the MFL channel is necessary for a good fit to the reflectance data. Finally, we note that the monotonic variation of the reflectance slope with doping provides us with an independent measure of the doping level for the Bi-2212 system.

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Infrared conductivity in the normal state of cuprate thin films

Cited by 17 publications

References 15 publications

Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids

Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids

Electrodynamics of correlated electron materials

Marginal Fermi liquid analysis of 300 K reflectance ofBi2Sr2CaCu
Hwang
¹
,
Timusk
²
,
Puchkov
³

et al. 2004
Phys. Rev. B
31
7
26
0
View full text Add to dashboard Cite

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Infrared conductivity in the normal state of cuprate thin films

Cited by 17 publications

References 15 publications

Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids

Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids

Electrodynamics of correlated electron materials

Marginal Fermi liquid analysis of 300 K reflectance ofBi2Sr2CaCuHwang1, Timusk2, Puchkov3 et al. 2004Phys. Rev. B317260View full textAdd to dashboardCite

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Marginal Fermi liquid analysis of 300 K reflectance ofBi2Sr2CaCu
Hwang
¹
,
Timusk
²
,
Puchkov
³

et al. 2004
Phys. Rev. B
31
7
26
0
View full text Add to dashboard Cite