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

References in corpus (6)

• 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
• Non-centrosymmetric Superconductivity and Antiferromagnetic Order: Microscopic discussion of CePt${}_3$Si
• Fermi liquid theory for heavy fermion superconductors without inversion symmetry : Magnetism and transport coefficients
• Emergent Nodal Excitations due to the Coexistence of Superconductivity and Antiferromagnetism: Cases with and without Inversion Symmetry
• Surface and vortex structures in noncentrosymmetric superconductors under applied magnetic fields

Cited by in corpus (17)

• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• Colossal enhancement of upper critical fields in noncentrosymmetric heavy fermion superconductors near quantum criticality: CeRhSi${}_3$ and CeIrSi${}_3$
• Magnetic Properties in Non-centrosymmetric Superconductors with and without Antiferromagnetic Order
• Specific heat and electronic states of superconducting boron-doped silicon carbide
• Enhanced triplet superconductivity in noncentrosymmetric systems
• Charge and Spin Currents Generated by Dynamical Spins
• Microscopic Mechanism and Pairing Symmetry of Superconductivity in the Noncentrosymmetric Heavy Fermion Systems CeRhSI${}_3$ and CeIrSi${}_3$
• Impurity resonance states in noncentrosymmetric superconductor $CeP{t}_{3}Si$: a probe for Cooper-pairing symmetry
• Intrinsic Spin Hall Effect in s-wave Superconducting State: Analysis of Rashba Model
• Signature of superconducting states in cubic crystal without inversion symmetry
• Theory of Fulde-Ferrell-Larkin-Ovchinnikov state of superconductors with and without inversion symmetry: Hubbard model approach
• Low-energy magnetic response of the noncentrosymmetric heavy-fermion superconductor CePt3Si studied via inelastic neutron scattering
• Using Josephson junctions to determine the pairing state of superconductors without crystal inversion symmetry
• Theory of Parity Violated Cooper Pairs in Weakly Noncentrosymmetric Superconductors
• Josephson Effect between Conventional and Rashba Superconductors
• Magnetic response of noncentrosymmetric superconductor La2C3: Effect of double-gap and spin-orbit interaction