Thermal Conductivity of Superconductors of the Second Kind

Dubeck, L.W.; Lindenfeld, P.; Lynton, Ernest A.; Rohrer, H.

doi:10.1103/physrevlett.10.98

Cited by 38 publications

(9 citation statements)

References 12 publications

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“…(The measured H cl values obtained in magnetic-moment measurements on these samples will be reported in a subsequent paper.) In sample A *-3 with minimum a phase content, a shallow minimum in the K-versus-H curve was observed to occur in the mixed phase region, again as has been observed by Dubeck et al 20 The graphs on Figs. 7 and 8 for samples A A, A*A, and A-2 may also be interpreted as showing a very shallow minimum.…”

Section: (C) Discussion Of Thermal-conductivity Datasupporting

confidence: 80%

“…(3) For the annealed samples, a sharp falloff in the К values in increasing magnetic fields during isothermal measurements occurs at the H c i values, as has been observed previously, for example, by Dubeck et al 20 with In-Bi alloys. (The measured H cl values obtained in magnetic-moment measurements on these samples will be reported in a subsequent paper.)…”

Section: (C) Discussion Of Thermal-conductivity Datasupporting

confidence: 54%

“…Between H c \ and H c2 , the samples are in the mixed phase and the phononelectron scattering continues to increase until the sample is all normal. Since electron conduction K e plays a negligible role in the total observed conductivity, the rise in K e in the mixed phase (see, for example, Dubeck et al 20 for evidence of this) contributes no measurable addition to К Ша ъ The value of K, therefore, in general does not show a minimum as H increases.…”

Section: (C) Discussion Of Thermal-conductivity Datamentioning

confidence: 99%

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Thermal and Electrical Conductivities of Mo-Re Alloys in the Superconducting and Normal States

Lerner

Daunt

1966

Phys. Rev.

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This paper gives details of research carried out on the low-temperature properties of Mo-Re alloys in the superconducting and normal states. Measurements were made on a variety of Mo-Re alloys in various states of anneal, the alloys being in the form of fine wires, as suitable for the winding of high-field super conducting solenoids. Micrograph studies were made to determine the percentage of the various phases present in each specimen. The low-temperature measurements covered observations on the various speciments of the electrical resistivity and the thermal conductivity as functions of temperature and magnetic field. The measurements yielded evaluations of two of the three critical magnetic fields, H C 2 and Н с з, as functions of temperature and alloy constitution, the transition temperatures T c , and the Landau-Ginzburg parameter к. Detailed comparisons of the results are made with theoretical predictions and with results by previous authors on similar high-field superconducting alloys.

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Section: (C) Discussion Of Thermal-conductivity Datasupporting

confidence: 80%

Section: (C) Discussion Of Thermal-conductivity Datasupporting

confidence: 54%

Section: (C) Discussion Of Thermal-conductivity Datamentioning

confidence: 99%

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Thermal and Electrical Conductivities of Mo-Re Alloys in the Superconducting and Normal States

Lerner

Daunt

1966

Phys. Rev.

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“…κ(H)/T is almost linear and develops a minimum at low fields which becomes more pronounced with higher temperature. The shaded areas illustrate qualitatively how the electronic and the phonon contribution change with field 44,45 . (b) We compare the fielddependent thermal conductivity data for T → 0 with the following materials representing different gap symmetries.…”

Section: H-dependence Of the Thermal Conductivitymentioning

confidence: 99%

Superconducting gap structure of the skutteruditeLaPt4Ge12probed by specific heat and thermal transport

et al. 2016

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We investigated the superconducting order parameter of the filled skutterudite LaPt4Ge12, with a transition temperature of Tc = 8.3 K. To this end, we performed temperature and magnetic-field dependent specific-heat and thermal-conductivity measurements. All data are compatible with a single superconducting s-wave gap. However, a multiband scenario cannot be ruled out. The results are discussed in the context of previous studies on the substitution series Pr1−xLaxPt4Ge12. They suggest compatible order parameters for the two end compounds LaPt4Ge12 and PrPt4Ge12. This is not consistent with a single s-wave gap in LaPt4Ge12 considering previous reports of unconventional and/or multiband superconductivity in PrPt4Ge12.

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“…04 for H ~ \E c2 , The uniform distribution would then give an average order parameter much smaller than that predicted by the Abrikosov theory and found so successful in the analysis of the thermal conductivity. 5 The anisotropy in R(fl) for H in the plane of the sample would be expected from a structure of normal and superconducting regions if the normal regions are thin compared to the microwave penetration depth. When the microwave current is flowing in the direction of H the superconducting regions can "short out" the essentially normal regions.…”

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confidence: 99%

Evidence for Normal Regions at Low Temperatures in the Superconducting Mixed State

Rosenblum

Cardona

1964

Phys. Rev. Lett.

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The microwave surface resistance has been measured for a number of type-II superconductors as a function of magnetic field and temperature. 1 " 3 With such measurements one can determine/^, # c 2> #c3> and several properties of the Bean-Livingston surface barrier 4 with no assumptions as to the absorption mechanism in the mixed state. The model of the mixed state with which we can most naturally explain the absorption has normal regions of finite extent at the centers of the Abrikosov flux tubes. This is at variance with the concept that the material is entirely superconducting except along zero-volume lines. Thermal conductivity experiments, 5 while establishing the validity of an average field-dependent energy gap, do not rule out a model where the flux tubes have finite normal cores. The existing data on specific heat 6 ' 7 can be interpreted to agree with a significant fraction of material being normal. In referring to finite regions about the centers of flux tubes as being "normal," we do not exclude the possibility that the regions do have finite, but negligibly small, energy gaps. 8 In all of the materials studied (Pb-Tl alloys; In-Bi alloys; Pb-In; Nb; single-phase, highly stoichiometric Nb 3 Sn; and single-crystal V 3 Si) when K is not close to 1/V2, the surface resistance R(fl) can be characterized as follows: When H is applied perpendicular to the plane of the thin plate sample, the field penetrates at very low values, and Rifl) rises approximately linearly to its value in the normal state R n at H C 2-With H in the plane of the plate and perpendicular to the microwave current, R(fl) does not rise until H >K C \ and then rises, also approximately linearly, changing slope at # c 2> Dut n°t reaching R n until H =# C 3 -1. 7#c2* Wnen 3 is parallel to microwave current the absorption is much smaller until fields close to R c %. A figure illustrating this behavior is shown in reference 2. The anisotropy for the magnetic field in the plane of the sample surface-defined as the maximum ratio of Rifl) for the two orientations-is proportional to K. At low reduced temperature R(fl/H C 2(T)) is approximately independent of temperature.We will assume the mechanism for the absorption of microwave energy (photon energy small compared to the energy gap) in the mixed state is essentially the same as in the pure superconducting state, i. e. , absorption by quasiparticles (normal electrons in the two-fluid model). 9 We further assume that these normal electrons are so concentrated at the centers of the flux tubes that a region of diameter approximately equal to the coherence length is essentially normal. This results in a fraction (H -H c i)/(fl c 2 "^c\)~H^c2 of the material being essentially normal. The reasons for the assumption that the normal electrons are concentrated in essentially normal regions are these: (1) The approximate temperature independence of R(fl/H C 2(T)) asT-0 indicates that the absorbing normal electrons are not ther-657

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Thermal Conductivity of Superconductors of the Second Kind

Cited by 38 publications

References 12 publications

Thermal and Electrical Conductivities of Mo-Re Alloys in the Superconducting and Normal States

Thermal and Electrical Conductivities of Mo-Re Alloys in the Superconducting and Normal States

Superconducting gap structure of the skutteruditeLaPt4Ge12probed by specific heat and thermal transport

Evidence for Normal Regions at Low Temperatures in the Superconducting Mixed State

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