Fermi liquid theory for heavy fermion superconductors without inversion symmetry : Magnetism and transport coefficients

Abstract

We present the microscopic Fermi liquid theory for magnetic properties and transport phenomena in interacting electron systems without inversion symmetry both in the normal state and in the superconducting state. Our argument is mainly focused on the application to noncentrosymmetric heavy fermion superconductors. The transport coefficients for the anomalous Hall effect, the thermal anomalous Hall effect, the spin Hall effect, and magnetoelectric effects, of which the existence is a remarkable feature of parity violation, are obtained by taking into account electron correlation effects in a formally exact way. Moreover, we demonstrate that the temperature dependence of the spin susceptibility which consists of the Pauli term and van-Vleck-like term seriously depends on the details of the electronic structure. We give a possible explanation for the recent experimental result obtained by the NMR measurement of CePt${}_3$Si [Yogi et al., J. Phys. Soc. Jpn.{\bf 75}, 013709 (2006)], which indicates no change of the Knight shift below the superconducting transition temperature for any directions of a magnetic field.

arXiv comment18 pages, 11 figures

References in corpus (20)

• Universal Intrinsic Spin-Hall Effect
• Dissipationless Quantum Spin Current at Room Temperature
• Heavy fermion superconductivity and magnetic order in non-centrosymmetric $CeP{t}_{3}Si$
• Superconducting 2D system with lifted spin degeneracy: Mixed singlet-triplet state
• Anomalous Hall effect in ferromagnetic semiconductors
• Superconductivty without inversion symmetry: MnSi versus CePt_3Si
• Superconductivity in metal rich Li-Pd-B ternary Boride
• Helical vortex phase in the non-centrosymmetric CePt_3Si
• CePt3Si: an unconventional superconductor without inversion center
• 2D superconductivity with strong spin-orbit interaction
• 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
• Nuclear Magnetic Relaxation Rate in a Noncentrosymmetric Superconductor
• Evidence for Novel Pairing State in Noncentrosymmetric Superconductor CePt3Si: 29Si-NMR Knight Shift Study
• Intrinsically s-wave like property of triplet superconductors with spin-orbit coupling
• Magnetic Properties of a Superconductor with no Inversion Symmetry
• Surface and vortex structures in noncentrosymmetric superconductors under applied magnetic fields

Cited by in corpus (42)

• Superconducting phases of f-electron compounds
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Superconductivity and spin-orbit coupling in non-centrosymmetric materials: a review
• Topology of Andreev Bound States with Flat Dispersion
• Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
• Electron Correlation and Pairing States in Superconductors without Inversion Symmetry
• Magneto-Electric Effect in Three-dimensional Coupled Zigzag Chains
• Locally Non-centrosymmetric Superconductivity in Multilayer Systems
• Superconductivity and Magnetism in Non-centrosymmetric System: Application to CePt_3Si
• Superconductivity in doped Dirac semimetals
• 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
• On the spin susceptibility of noncentrosymmetric superconductors
• Complex-Stripe Phases Induced by Staggered Rashba Spin-Orbit Coupling
• Proximity effect with noncentrosymmetric superconductors
• Enhanced triplet superconductivity in noncentrosymmetric systems
• Multiorbital Ferroelectric Superconductivity in doped SrTiO3
• Pairing state at an interface of Sr${}_2$RuO${}_4$: parity-mixing, restored time-reversal symmetry, and topological superconductivity
• Superconductivity in disordered locally noncentrosymmetric materials: an application to CeRh${}_2$As${}_2$
• Odd-parity multipole fluctuation and unconventional superconductivity in locally noncentrosymmetric crystal
• Spin fluctuations and superconductivity in noncentrosymmetric heavy fermion systems CeRhSi${}_3$ and CeIrSi${}_3$
• Majorana multipole response of topological superconductors
• Modulated vortex states in Rashba non-centrosymmetric superconductors
• Anomalous Spin Response in Non-centrosymmetric Compounds
• Theory of Fulde-Ferrell-Larkin-Ovchinnikov state of superconductors with and without inversion symmetry: Hubbard model approach
• Strong enhancement of the Edelstein effect in f-electron systems
• Unambiguous probe of parity-mixing of Cooper pairs in noncentrosymmetric superconductors
• Intrinsic Damping of Collective Spin Modes in a Two-Dimensional Fermi Liquid with Spin-Orbit Coupling
• Triple-$\mathcal{Q}$ partial magnetic orders induced by quadrupolar interactions: Triforce order scenario for UNi${}_4$B
• Superconducting pairing symmetry on the extended Hubbard model in the presence of the Rashba-type spin-orbit coupling
• Theory of Parity Violated Cooper Pairs in Weakly Noncentrosymmetric Superconductors
• Supercurrent-induced Skyrmion dynamics and Tunable Weyl points in Chiral Magnet with Superconductivity
• Electron Correlation Effects in Non-Centrosymmetric Metals in the Weak Coupling Regime
• Nonlinear Edelstein Effect in Strongly Correlated Electron Systems
• Magnetoelectric Response in Electric Octupole State: Possible Hidden Order in Cuprate Superconductors
• Spin Susceptibility in Non-centrosymmetric Superconductors with Topological Transition of Fermi Surfaces
• Exotic heavy fermion superconductivity in atomically thin CeCoIn${}_5$ films
• Ward identities for charge and heat currents of particle-particle and particle-hole pairs
• Superconductivity without Local Inversion Symmetry; Multi-layer Systems
• Temperature Dependence of the Spin Susceptibility in Noncentrosymmetric Superconductors with Line Nodes
• Landau-Level Quantization and Band Splitting of FeSe Monolayers Revealed by Scanning Tunneling Spectroscopy
• Optical-vortex-pulse induced nonequilibrium spin textures in spin-orbit coupled electrons