Microscopic Mechanism and Pairing Symmetry of Superconductivity in the Noncentrosymmetric Heavy Fermion Systems CeRhSI${}_3$ and CeIrSi${}_3$

Abstract

We study the pairing symmetry of the noncentrosymmetric heavy fermion superconductors CeRhSi${}_3$ and CeIrSi${}_3$ under pressures, which are both antiferromagnets at ambient pressure. We solve the Eliashberg equation by means of the random phase approximation and find that the mixed state of extended s-wave and p-wave rather than the $d+f$ wave state could be realized by enhanced antiferromagnetic spin fluctuations. It is elucidated that the gap function has line nodes on the Fermi surface and the resulting density of state in the superconducting state shows a similar character to that of usual d-wave superconductors, resulting in the NMR relaxation rate $1/(T_{1}T)$ that exhibits no coherence peak and behaves like $1/(T_{1}T)\propto T^2$ at low temperatures.

References in corpus (5)

• Electron Correlation and Pairing States in Superconductors without Inversion Symmetry
• Non-centrosymmetric Superconductivity and Antiferromagnetic Order: Microscopic discussion of CePt${}_3$Si
• Emergent Nodal Excitations due to the Coexistence of Superconductivity and Antiferromagnetism: Cases with and without Inversion Symmetry
• Strong-Coupling Superconductivity of CeIrSi${}_3$ with the Non-centrosymmetric Crystal Structure
• Enhanced triplet superconductivity in noncentrosymmetric systems

Cited by in corpus (15)

• 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${}_3$
• Proximity effect with noncentrosymmetric superconductors
• Impurity resonance states in noncentrosymmetric superconductor $CeP{t}_{3}Si$: a probe for Cooper-pairing symmetry
• Anomalous Spin Response in Non-centrosymmetric Compounds
• Strongly parity-mixed superconductivity in Rashba-Hubbard model
• Effects of spin orbit coupling in superconducting proximity devices -- application to $\mathrm{CoS}{\mathrm{i}}_2/TiS{\mathrm{i}}_2$ heterostructures
• Topological d-wave superconductivity in two dimensions
• Superconducting pairing symmetry on the extended Hubbard model in the presence of the Rashba-type spin-orbit coupling
• Relaxing Kondo screened Kramers-doublets in CeRhSi${}_3$
• Spin texture in a bilayer high-temperature cuprate superconductor
• Renormalized quasiparticles, topological monopoles and superconducting line nodes in heavy fermion CeTX${}_3$ compounds
• Electron Correlation Effects in Non-Centrosymmetric Metals in the Weak Coupling Regime
• Supercurrent-Induced Weyl Superconductivity
• Calculated Spin Fluctuational Pairing Interaction in HgBa2CuO4 using LDA+FLEX Method