Thermal Conductivity of the Accidental Degeneracy and Enlarged Symmetry Group Models for Superconducting UPt₃

Details Thermal Conductivity of the Accidental Degeneracy and Enlarged Symmetry Group Models for Superconducting UPt₃ Thermal Conductivity of the Accidental Degeneracy and Enlarged Symmetry Group Models for Superconducting UPt₃

1998-07-28

arxiv.org/abs/cond-mat/9807370v1

Journal Of Low Temperature Physics, v114(#1-2) pp. 257-273 Jan 1999

Physics

Condensed Matter

Superconductivity

18 pages, 7 figures; submitted to JLTP

Scientific paper

10.1023/A:1021814206687

We present theoretical calculations of the thermal conductivity for the accidental degeneracy and enlarged symmetry group models that have been proposed to explain the phase diagram of UPt3. The order parameters for these models possess point nodes or cross nodes, reflecting the broken symmetries of the ground state. These broken symmetries lead to robust predictions for the ratio of the low-temperature thermal conductivity for heat flow along the c axis and in the basal plane. The anisotropy of the heat current response at low temperatures is determined by the phase space for scattering by impurities. The measured anisotropy ratio, $\kappa_c/\kappa_b$, provides a strong constraint of theoretical models for the ground state order parameter. The accidental degeneracy and enlarged symmetry group models based on no spin-orbit coupling do not account for the thermal conductivity of UPt3. The models for the order parameter that fit the experimental data for the c and b directions of the heat current are the 2D E1g and E2u models, for which the order parameters possess line nodes in the ab-plane and point nodes along the c axis, and the A1g+E1g model of Zhitomirsky and Ueda. This model spontaneously breaks rotational symmetry in theab-plane below Tc2 and predicts a large anisotropy for the $ab$-plane heat current.

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