Anisotropy of Transverse Sound in the Heavy-Fermion Superconductor U<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Pt</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Shivaram, B. S.; Jeong, Yoon Hee; Rosenbaum, T. F.; Hinks, D. G.

doi:10.1103/physrevlett.56.1078

Cited by 190 publications

(76 citation statements)

References 14 publications

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“…The present result describes very well the temperature dependence of the ultrasonic attenuation coefficient of UPt 3 [10]. Also the deviation from the universal limit in the low temperature thermal conductivity [11] in f-wave superconductor is very similar but somewhat larger than in d-wave superconductor [8], which may be consistent with the recent measurement of electron-irradiated UPt 3 [12].…”

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confidence: 80%

Impurity scattering in f-wave superconductor UPt3

Yang

Maki

2000

Physica C: Superconductivity

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PACS. 74.20-h -Theory. PACS. 74.25Bt -Thermodynamic properties. PACS. 74.25Fy -Transport properties.Abstract. -We study theoretically the effect of impurity scattering in f-wave (or E2u) superconductors. The quasi-particle density of states of f-wave superconductor is very similar to the one for d-wave superconductor as in hole-doped high Tc cuprates. Also in spite of anisotropy in ∆(k), both the normalized superfluid density and the thermal conductivity is completely isotropic.Introduction. -After a long controversy, f-wave (or E 2u ) superconductivity in UPt 3 is established in 1996 [1]. First the thermal conductivities with the heat current parallel to the c axis and within the basal plane decrease linearly in T the temperature at low temperature [2]. This is consistent with E 2u but inconsistent with the then prevailing model E 1g [3,4]. Almost at the same time 195 Pt Knight shift measurement in UPt 3 finds the spin triplet pair [5]. Later they find also among three phases A, B and C in UPt 3 , only B phase is nonunitary [5]. This is again consistent with E 2u but not with E 1g .So we can write down the superconducting order parameter

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confidence: 80%

Impurity scattering in f-wave superconductor UPt3

Yang

Maki

2000

Physica C: Superconductivity

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“…The basic requirements of the possible pairing state realized in UPt 3 can be summarized as follows: (1) The gap structure contains both horizontal line node(s) and point nodes as evidenced by power law behaviors in various directionally dependent transport measurements, such as thermal conductivity [26,27] and ultrasound attenuation experiments [28][29][30][31], and also bulk measurements, such as specific heat [3,32,33], penetration depth [34], nuclear relaxation time [35], and magnetization [36] experi-ments. (2) As mentioned above, the detailed Knight shift experiment [25] shows a decrease in the magnetic susceptibility below T c2 , depending on the field direction and its strength.…”

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confidence: 99%

A Spin Triplet Superconductor UPt₃

et al. 2012

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Motivated by a recent angle-resolved thermal conductivity experiment that shows a twofold gap symmetry in the high-field and low-temperature C phase in the heavy-fermion superconductor UPt3, we group-theoretically identify the pairing functions as E1u with the f -wave character for all the three phases. The pairing functions are consistent with the observation as well as with a variety of existing measurements. By using a microscopic quasi-classical Eilenberger equation with the identified triplet pairing function under applied fields, we performed detailed studies of the vortex structures for three phases, including the vortex lattice symmetry, the local density of states, and the internal field distribution. These quantities are directly measurable experimentally by SANS, STM/STS, and NMR, respectively. It is found that, in the B phase of low H and low T , the double-core vortex is stabilized over a singular vortex. In the C phase, thermal conductivity data are analyzed to confirm the gap structure proposed. We also give detailed comparisons of various proposed pair functions, concluding that the present scenario of E1u with the f -wave, which is an analogue to the triplet planar state, is better than the E2u or E1g scenario. Finally, we discuss the surface topological aspects of Majorana modes associated with the E f 1u state of planar like features.

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“…either E 1 or E 2 . [12,11] Further evidence about the superconducting state of UPt 3 comes from measurements of ultrasound [13,14] and heat conduction. [15] These experiments suggest that there are point nodes in the superconducting gap function where the Fermi surface intersects the line k x = k y = 0 and line nodes where the Fermi surface intersects the k z = 0 or k z = π/c planes.…”

Section: Introductionmentioning

confidence: 99%

E1gmodel of superconductingUPt3
Park
¹
,
Joynt
²

1996
Phys. Rev. B
23
2
33
0
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The phase diagram of superconducting UPt 3 is explained in a GinzburgLandau theory starting from the hypothesis that the order parameter is a pseudo-spin singlet which transforms according to the E 1g representation of the D 6h point group. We show how to compute the positions of the phase boundaries both when the applied field is in the basal plane and when it is along the c-axis. The experimental phase diagrams as determined by longitudinal sound velocity data can be fit using a single set of parameters. In particular the crossing of the upper critical field curves for the two field directions and the apparent isotropy of the phase diagram are reproduced. The former is a result of the magnetic properties of UPt 3 and their contribution to the free energy in the superconducting state. The latter is a consequence of an approximate particle-hole symmetry. Finally we extend the theory to finite pressure and show that, in contrast to other models, the E 1g model explains the observed pressure dependence of the phase boundaries.

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Anisotropy of Transverse Sound in the Heavy-Fermion Superconductor UPt3

Abstract: %'e show in Fig. 1

Cited by 190 publications

References 14 publications

Impurity scattering in f-wave superconductor UPt3

Impurity scattering in f-wave superconductor UPt3

A Spin Triplet Superconductor UPt₃

E1gmodel of superconductingUPt3
Park
¹
,
Joynt
²

1996
Phys. Rev. B
23
2
33
0
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Anisotropy of Transverse Sound in the Heavy-Fermion Superconductor UPt3

Abstract: %'e show in Fig. 1

Cited by 190 publications

References 14 publications

Impurity scattering in f-wave superconductor UPt3

Impurity scattering in f-wave superconductor UPt3

A Spin Triplet Superconductor UPt3

E1gmodel of superconductingUPt3Park1, Joynt2 1996Phys. Rev. B232330View full textAdd to dashboardCite

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A Spin Triplet Superconductor UPt₃

E1gmodel of superconductingUPt3
Park
¹
,
Joynt
²

1996
Phys. Rev. B
23
2
33
0
View full text Add to dashboard Cite