Theoretical analysis of the thermal conductivity of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">YBa</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Cu</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math><mml:

Peacor, Scott D.; Richardson, R. A.; Nori, Franco; Uher, Ctirad

doi:10.1103/physrevb.44.9508

Cited by 91 publications

(40 citation statements)

References 18 publications

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“…We dedicate this article to Prof. Dr. E. Müller-Hartmann on the occasion of his 60th birthday a e-mail: freimuth@ph2.uni-koeln.de b Present address: Walther-Meissner Institute for Low Temperature Research, Bavarian Academy of Sciences, 85748 Garching, Germany A characteristic feature of YBa 2 Cu 3 O 7−δ close to optimum doping is a pronounced maximum of the thermal conductivity in the superconducting state [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. The position and the height of this maximum depend strongly on the sample quality and it is suppressed by a magnetic field [3][4][5]10,14].…”

Section: Introductionmentioning

confidence: 99%

Thermal conductivity and thermal Hall effect in Bi- and Y-based high-T c superconductors

et al. 2001

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Measurements of the thermal conductivity (kxx) and the thermal Hall effect (kxy) in high magnetic fields in Y-and Bi-based high-Tc superconductors are presented. We describe the experimental technique and test measurements on a simple metal (niobium). In the high-Tc superconductors kxx and kxy increase below Tc and show a maximum in their temperature dependence. kxx has contributions from phonons and quasiparticle (QP) excitations, whereas kxy is purely electronic. The strong increase of kxy below Tc gives direct evidence for a strong enhancement of the QP contribution to the heat current and thus for a strong increase of the QP mean free path. Using kxy and the magnetic field dependence of kxx we separate the electronic thermal conductivity (k el xx ) of the CuO2-planes from the phononic thermal conductivity (k ph xx ). In YBa2Cu3O 7−δ k el xx shows a pronounced maximum in the superconducting state. This maximum is much weaker in Bi2Sr2CaCu2O 8+δ , due to stronger impurity scattering. The maximum of k el xx is strongly suppressed by a magnetic field, which we attribute to the scattering of QPs on vortices. An additional magnetic field independent contribution to the maximum of kxx occurs in YBa2Cu3O 7−δ , reminiscent of the contribution of the CuO-chains, as determined from the anisotropy in untwined single crystals. Our data analysis reveals that below Tc as in the normal state a transport (τ ) and a Hall (τH) relaxation time must be distinguished: The inelastic (i.e. temperature dependent) contribution to τ is strongly enhanced in the superconducting state, whereas τH displays the same temperature dependence as above Tc. We determine also the electronic thermal conductivity in the normal state from kxy and the electrical Hall angle. It shows an unusual linear increase with temperature.

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Section: Introductionmentioning

confidence: 99%

Thermal conductivity and thermal Hall effect in Bi- and Y-based high-T c superconductors

et al. 2001

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“…From the above-mentioned comparison of κ el and κ at 300K it may be said that In order to analyze the phonon thermal conductivity κ ph we employ the following expression [22,30], which is based on the BRT theory [21] Here t = T/ T c is reduced temperature and the scattering rate S(t,x) is given by…”

Section: (For Low T) Combining All These Factorsmentioning

confidence: 99%

“…S 2 , S 3, S 4, S 5 and S 6 are to within C the scattering rates of phonon with point defects, sheet like faults, dislocation, electrons and phonon respectively [22,30]. The function g(x,∆(t)/k B tT c is defined extensively by Tewordt and Wolkhausen [22].…”

Section: (For Low T) Combining All These Factorsmentioning

confidence: 99%

Hump structure below Tc in the thermal conductivity of MgB2 superconductor

Lal¹,

Vajpayee²,

Awana³

et al. 2009

Physica C: Superconductivity

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A reasonable cause of absence of hump structure in thermal conductivity of MgB 2 below the superconducting transition temperature (T c ) lies in the appearance of multigap structure. The gaps of lower magnitude can be suppressed by defects so that this system becomes effectively a single gap superconductor. When such a situation is created, it is hoped that thermal conductivity (κ) will show hump below T c . Proceeding along these lines, a sample of MgB 2 with a relatively higher residual resistivity ρ o = 33.8 µΩ-cm has been found to show a hump structure below T c . The actual electronic thermal conductivity κ el of this sample is less than that expected from the Wiedeman-Franz law by more than a factor of 2.6 in the considered temperature range. Modifying the Wiedeman-Franz law for the electronic contribution by replacing the Lorenz numberby an effective Lorenz number L eff (

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“…Many previous studies that sought to calculate (or fit) the phonon thermal conductivity of YBCO in the wide range of temperature worked basically within the Debye framework of lattice dynamics [39][40][41][42][43]. In those cases, by neglecting the polarization dependence (allowing the phonon dispersion relation to be ω = v s k for all three acoustic branches), the phonon thermal conductivity was given by Ref.…”

Section: Interpretation Of Experimental Data Using Phonon Relaxation mentioning

confidence: 99%

Measurement of Out-of-Plane Thermal Conductivity of Epitaxial $$\hbox {YBa}_{2}\hbox {Cu}_{3}\hbox {O}_{7-{\delta }}$$ Thin Films in the Temperature Range from 10 K to 300 K by Photothermal Reflectance

et al. 2017

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We measured the out-of-plane (c-axis) thermal conductivity of epitaxially grown YBa 2 Cu 3 O 7−δ (YBCO) thin films (250 nm, 500 nm and 1000 nm) in the temperature range from 10 K to 300 K using the photothermal reflectance technique. The technique enables us to determine the thermal conductivity perpendicular to a thin film on a substrate by curve fitting analysis of the phase lag between the thermoreflectance signal and modulated heating laser beam in the frequency range from 10 2 Hz to 10 6 Hz. The uncertainties of measured thermal conductivity of all samples were estimated to be within ±9 % at 300 K, ±12 % at 180 K, ±16 % at 90 K and ±20 % below 50 K. The experimental results show that the thermal conductivity is dependent on the thickness of the thin films across the entire temperature range. We also observed that the thermal conductivity of the present YBCO thin films showed T 1.4 to T 1.6 glass-like dependence below 50 K, even though the films are crystalline solids. In order to explain the reason for this temperature dependence, we attempted to analyze our results using phonon relaxation times for possible phonon scattering models, including stacking faults, grain boundary and tunneling states scattering models.

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Theoretical analysis of the thermal conductivity ofYBa2Cu3

Cited by 91 publications

References 18 publications

Thermal conductivity and thermal Hall effect in Bi- and Y-based high-T c superconductors

Thermal conductivity and thermal Hall effect in Bi- and Y-based high-T c superconductors

Hump structure below Tc in the thermal conductivity of MgB2 superconductor

Measurement of Out-of-Plane Thermal Conductivity of Epitaxial $$\hbox {YBa}_{2}\hbox {Cu}_{3}\hbox {O}_{7-{\delta }}$$ Thin Films in the Temperature Range from 10 K to 300 K by Photothermal Reflectance

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