Thermal conductivity of superconducting UPt3 at low temperatures

Graf, Matthias J.; Yip, Sungkit; Sauls, J. A.

doi:10.1007/bf02395934

Cited by 8 publications

(8 citation statements)

References 19 publications

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“…7,31 At low temperature or in the absence of the SBF, weak coupling BCS theory shows that the homogeneous equilibrium state breaks time-reversal symmetry. Further calculations using weak-coupling BCS theory show that thermal conductivity, 32 transverse sound attenuation, 33 and upper critical fields 34 of this state are in good agreement with experiments for temperatures in the low temperature phase. 35 Coupling to an SBF has been included within a Ginzburg-Landau (GL) theory developed for a single-domain superconducting state.…”

Section: Introductionsupporting

confidence: 66%

Antiferromagnetic domains and superconductivity inUPt3

Graf¹,

Hess²

2001

Phys. Rev. B

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We explore the response of an unconventional superconductor to spatially inhomogeneous antiferromagnetism ͑SIAFM͒. Symmetry allows the superconducting order parameter in the E-representation models for UPt 3 to couple directly to the antiferromagnetic ͑AFM͒ order parameter. The Ginzburg-Landau equations for coupled superconductivity and SIAFM are solved numerically for two possible SIAFM configurations: Model I, abutting antiferromagnetic domains of uniform size; and Model II, quenched random disorder of ''nanodomains'' in a uniform AFM background. We discuss the contributions to the free energy, specific heat, and order parameter for these models. Neither model provides a satisfactory account of experiment, but results from the two models differ significantly. Our results demonstrate that the response of an E 2u superconductor to SIAFM is strongly dependent on the spatial dependence of AFM order; no conclusion can be drawn regarding the compatibility of E 2u superconductivity with UPt 3 that is independent of assumptions on the spatial dependence of antiferromagnetism.

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Section: Introductionsupporting

confidence: 66%

Antiferromagnetic domains and superconductivity inUPt3

Graf¹,

Hess²

2001

Phys. Rev. B

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“…For a detailed discussion of this analysis see Refs. 25,40. The anisotropy and temperature dependence of the transverse sound attenuation are then calculated with no additional parameters or adjustments of the order parameter models shown in Fig.…”

Section: A Resultsmentioning

confidence: 99%

“…These slight differences are predicted to be observable in the heat transport at ultralow temperatures. [25][26][27] ~ (0,0) ~ (0,1)…”

Section: Pairing Symmetrymentioning

confidence: 99%

Identification of the orbital pairing symmetry inUPt3

2000

Self Cite

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This paper summarizes the results of a comprehensive analysis of the thermodynamic and transport data for the superconducting phases of UPt3. Calculations of the transverse sound attenuation as a function of temperature, frequency, polarization, and disorder are presented for the leading models of the superconducting order parameter. Measurements of the specific heat, thermal conductivity, and transverse sound attenuation place strong constraints on the orbital symmetry of the superconducting order parameter. We show that the superconducting A and B phases are in excellent agreement with pairing states belonging to the odd-parity E2u orbital representation.

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“…(18), takes the standard BCS form at H = 0, we also recover the universal thermal conductivity for gaps with nodes on the FS. [35][36][37][38][39] At low fields the approximation breaks down, but for nodal superconductors it provides a good interpolation from low to high fields, and, in the regime 1 1/τ imp ∆ n H/H c2 reproduces the well-known √ H field-dependence of the density of states in d-wave superconductors 40,41 up to logarithmic corrections. 8,9,29 Since the function x 2 /cosh(x/2) 2 peaks at x ∼ 2.5T , the anisotropy of the heat capacity at low temperatures is qualitatively determined by the anisotropy in the total SC DOS, N (ω = 2.5T, k f ; H).…”

Section: Theory and Computational Methodsmentioning

confidence: 93%

“…[66][67][68] The hybrid gap proposal was inspired by similar gap functions studied some time ago for the heavy-fermion superconductor UPt 3 . 37,39,69 To further complicate the interpretation, the results by Shakeripour et al were also argued to be consistent with vertical line nodes. 70 In addition, power laws were reported for magnetic penetration depth and spinlattice-relaxation rate.…”

Section: Comparison With Experimentsmentioning

confidence: 99%

Field-angle-resolved anisotropy in superconducting CeCoIn5using realistic Fermi surfaces

et al. 2013

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We compute the field-angle-resolved specific heat and thermal conductivity using realistic model band structure for the heavy-fermion superconductor CeCoIn5 to identify the gap structure and location of nodes. We use a two-band tight-binding parametrization of the band dispersion as input for the self-consistent calculations in the quasiclassical formulation of the superconductivity. Systematic analysis shows that modest in-plane anisotropy in the density of states and Fermi velocity in tetragonal crystals significantly affects the fourfold oscillations in thermal quantities, when the magnetic field is rotated in the basal plane. The Fermi surface anisotropy substantially shifts the location of the lines in the H-T plane, where the oscillations change sign compared to quasicylindrical model calculations. In particular, at high fields, the anisotropy and sign reversal are found even for isotropic gaps. Our findings imply that a simultaneous analysis of the specific heat and thermal conductivity, with an emphasis on the low energy sector, is needed to restrict potential pairing scenarios in multiband superconductors. We discuss the impact of our results on recent measurements of the Ce-115 family, namely CeT In5 with T =Co,Rh,Ir.

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Thermal conductivity of superconducting UPt3 at low temperatures

Cited by 8 publications

References 19 publications

Antiferromagnetic domains and superconductivity inUPt3

Antiferromagnetic domains and superconductivity inUPt3

Identification of the orbital pairing symmetry inUPt3

Field-angle-resolved anisotropy in superconducting CeCoIn5using realistic Fermi surfaces

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