Electronic structure and spin-lattice relaxation in superconducting vortex states on the kagome lattice near van Hove filling

Abstract

Starting from a tight-binding model on the kagome lattice near the van Hove filling, the superconducting (SC) properties are investigated self-consistently using the Bogoliubov-de Gennes equation with the consideration of the inequivalent third-neighbor (TN) bonds. Near the van Hove filling, the most favorable SC pairings are found to derive from the electrons belonging to the same sublattice sites, including the on-site $s$-wave and the spin-singlet/triplet TN pairings. The inequivalent TN bonds will result in multiple SC components with different orbital angular momentums (OAM) for the TN SC pairings. While the density of states (DOS) and the temperature ($T$) dependence of the spin-lattice relaxation rate ($T_1^{-1}$) exhibit distinct line shapes in the SC state for the three cases, a peak structure in the $T$ dependence of $T_1^{-1}$ can be found for both cases just below $T_c$ as a result of the van Hove singularity, even though the SC gap has nodes. The effects of magnetic vortices on the low energy excitations and on the $T$ dependence of $T_1^{-1}$ with the implications of the results are also discussed for both cases.

9 pages, 4 figures, 2 tables

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• Impurity and vortex States in the bilayer high-temperature superconductor ${\mathrm{La}}_3{\mathrm{Ni}}_2{\mathrm{O}}_7$
• Impact of the orbital current order on the superconducting properties of the kagome superconductors
• Interplay between Chiral Charge Density Wave and Superconductivity in Kagome Superconductors: A Self-consistent Theoretical Analysis
• The density of states method in Yang-Mills theories and first order phase transitions
• Probing the pairing symmetry in kagome superconductors based on the single-particle spectrum
• Composite dynamics in Sp($2N$) gauge theories
• Impact of Charge Density Waves on Superconductivity and Topological Properties in AV${}_3$Sb${}_5$ Kagome Superconductors
• Recent progress in quantum spin liquids, fractional magnetization plateaus, and unconventional superconductivity in kagome lattices
• The possible frustrated superconductivity in the kagome superconductors