Electron Correlation and Pairing States in Superconductors without Inversion Symmetry

Abstract

This article is a pedagogical review of theoretical studies of noncentrosymmetric superconductors with particular emphasis on the role played by electron correlation, which is important for heavy fermion systems. We survey unique properties of parity-violated superconductivity such as the admixture of spin singlet and triplet states, unusual paramagnetism, large Pauli limiting fields, magnetoelectric effects, the helical vortex phase, and the anomalous Hall effect. It is pointed out that these remarkable features are strengthened by a strong electron correlation effect, and thus are prominent in heavy fermion superconductors without inversion symmetry. We also discuss possible pairing states realized in the heavy fermion system CePt${}_3$Si.

14 pages, 9 figures, to be published in the special topics section of "Frontiers of Novel Superconductivity in Heavy Fermion Compounds" in J. Phys. Soc. Jpn

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• Heavy fermion superconductivity and magnetic order in non-centrosymmetric $CeP{t}_{3}Si$
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• S-wave/spin-triplet order in superconductors without inversion symmetry: Li${}_2$Pd${}_3$B and Li${}_2$Pt${}_3$B
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• Helical vortex phase in the non-centrosymmetric CePt_3Si
• CePt3Si: an unconventional superconductor without inversion center
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• Line nodes in the superconducting gap function of noncentrosymmetric CePt_3Si
• Evidence for a Novel State of Superconductivity in Noncentrosymmetric CePt3Si : A 195Pt-NMR Study
• Magnetic properties of superconductors with strong spin-orbit coupling
• Magnetoelectric effects in heavy-fermion superconductors without inversion symmetry
• Order parameter in superconductors with non-degenerate bands
• Crystal Symmetry, Electron-Phonon Coupling, and Superconducting Tendencies in Li${}_2$Pd${}_3$B and Li${}_2$Pt${}_3$B
• Nuclear Magnetic Relaxation Rate in a Noncentrosymmetric Superconductor
• Temperature Dependence of the Superfluid Density in a Noncentrosymmetric Superconductor
• Paramagnetic properties of non-centrosymmetric superconductors: Application to CePt3Si
• Non-centrosymmetric Superconductivity and Antiferromagnetic Order: Microscopic discussion of CePt${}_3$Si
• Evidence for Novel Pairing State in Noncentrosymmetric Superconductor CePt3Si: 29Si-NMR Knight Shift Study
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