Numéro
J. Phys. I France
Volume 1, Numéro 8, August 1991
Page(s) 1155 - 1163
DOI https://doi.org/10.1051/jp1:1991197
DOI: 10.1051/jp1:1991197
J. Phys. I France 1 (1991) 1155-1163

Superconducting kernel symmetry for an anisotropic superconductivity near $H_{\rm C2}$ and phase transitions in UPt 3

I. Luk'yanchuk

L.D. Landau Institute for Theoretical Physics, Kosygina 2, Moscow, 117940, U.S.S.R.


(Received 10 April 1991, accepted 25 April 1991)

Abstract
The symmetry group of anisotropic Cooper pairing in magnetic field H includes the magnetic translations and rotations around H. On the basis of these operations Kasimir's operator which classifies the superconducting nuclei near $H_{\rm C2}$ is constructed. Such kernel classification is used to find all possible reasons of kink in $H_{\rm C2}(T)$-dependence existence and to interpret the phase transitions in H-T plane in the heavy-fermion superconductor UPt 3 at the assumption of two superconducting states coexistence. The phase transition lines in space nonuniform state $H_{\rm C1}<H<H_{\rm C2}$ is shown to be either the lines of superconducting order parameter parity violation with respect to reflection in a perpendicular to magnetic field plane or the lines of triangular vortex lattice distortion or the lines of Abricosov's lattice period multiplication. Last case near $H_{\rm C1}$ signifies the phase transition with changing of magnetic vortex quantization.



© Les Editions de Physique 1991

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