One-Component Fermi-Liquid Theory and the Properties of UPt3

Abstract

A simple one-component version of Fermi-liquid theory is applied to measurements of the specific heat of UPt 3 and shown to suggest that UPt 3 is an odd-parity superconductor of purely electronic origin. The calculated transition temperature as a function of pressure is found to be in quantitative agreement with experiment. 74.10.+v, 65.40.Em, 65.70. +y, 75.25.+z Stewart, Fisk, Willis, and Smith 1 have shown that the specific heat of UPt 3 at zero pressure can be fitted by an expression of the form

LiV₂O₄: A heavy fermion transition metal oxide

“…Therefore, we also neglect it here, so DC(&) = D*(EF). which are similar to those found in the heavy fermion compound UPt3 (TF = 289 K and m*/me = 178 [158]): y(0) = 429-450mJ/(molK2) and b = 1.99mJ/(molK4) [39].…”

Magnetic Quantum Critical Point and Superconductivity inUPt3Doped with Pd

“…Because of the unusual coexistence of SC and ferromagnetic (FM) spin fluctuations, the latter signaled by a pronounced T 3 lnT contribution to the low-temperature ͑T ͒ specific heat [5,6], it has been argued that UPt 3 is an odd-parity spin-fluctuation mediated superconductor [6,7], in close analogy with superfluidity in 3 He. Recent NMR measurements [8], as well as alloying experiments [9], provide solid evidence for an odd parity SC state.…”

Magnetization in the superconducting state of UPt3from polarized neutron diffraction

“…[2] The unusual properties of UPt 3 include development of a heavy fermion state below T = 20 K, [3] dynamic antiferromagnetism that onsets at T N = 6 K, [4][5][6] and an anisotropic superconducting state with three distinct superconducting phases, two of which exist in zero applied magnetic field, [7] Fig. 1.…”

“…For an unconventional superconducting state, the spin part of the order parameter is best represented in terms of the d-vector, which points in the direction of zero spin projection and is widely used in the description of unconventional pairing, most notably for the 3 He triplet superfluid order parameter. [28] A strong spin-orbit interaction in UPt 3 provides a mechanism for d being locked to the crystal c-axis [8,15] and is required in order to account for the observed anisotropy in the upper critical field.…”