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.

18 pages, 11 figures

References in corpus (3)

• Dissipationless Quantum Spin Current at Room Temperature
• Order parameter in superconductors with non-degenerate bands
• Surface and vortex structures in noncentrosymmetric superconductors under applied magnetic fields

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• Superconductivity and Magnetism in Non-centrosymmetric System: Application to CePt_3Si
• 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
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• Superconductivity in disordered locally noncentrosymmetric materials: an application to CeRh${}_2$As${}_2$
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• Anomalous Spin Response in Non-centrosymmetric Compounds
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• 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
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• Exotic heavy fermion superconductivity in atomically thin CeCoIn${}_5$ films
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• 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
• Temperature Dependence of the Spin Susceptibility in Noncentrosymmetric Superconductors with Line Nodes