Superconducting pairing symmetry in the kagome-lattice Hubbard model

Effective six-band model and unconventional spin-singlet pairing in Kagome superconductor CsV3Sb5

“…We also notice that a few researches [49,50] focused on the superconducting pairing symmetry of the single band model on the Kagome lattice. The asymmetry of the pairing symmetry below and above the Dirac points may arise from the asymmetry of spin-spin correlation below and above the Dirac points [49].…”

“…We also notice that a few researches [49,50] focused on the superconducting pairing symmetry of the single band model on the Kagome lattice. The asymmetry of the pairing symmetry below and above the Dirac points may arise from the asymmetry of spin-spin correlation below and above the Dirac points [49]. Compared to the present singlet I wave superconductive pairing symmetry in our effective six-band model for CsV 3 Sb 5 , the recent study [33] fitted another effective six-band model based on the electronic structures of KV 3 Sb 5 , and a robust E 2g (d wave) pairing was obtained when switching off the nonlocal Coulomb repulsion.…”

“…Thus, the pairing strengths of d x 2 −y 2 and d 3z 2 −r 2 should be same as the eigenfunctions described by E 2g , so does the d + id. Compared with to the individual d x 2 −y 2 or d 3z 2 −r 2 which has nodes in the quasi-particle spectrum, the fully gapped d + id wave is energetically favorable [49].…”

Unconventional ferromagnetism and spin-triplet superconductivity in the imbalanced Kagome-lattice Hubbard model

“…The research on the interplay between correlation and frustration on kagome lattice is further boosted by the recent experimental discovery of several families of kagome materials exhibiting rich physics [18][19][20][21][22][23][24][25][26][27] . Related theoretical studies on the kagome lattice Hubbard model have revealed that there are no tendencies toward magnetic ordering and intermediate phases also exist at half filling [28][29][30] .…”

Loop currents in $A$V$_3$Sb$_5$ kagome metals: multipolar and toroidal magnetic orders

“…Hence, the recent discovery of a new family of superconducting (SC) kagome materials [9], AV 3 Sb 5 (A=K, Rb, Cs), with T c ∼ 2 K depending on the alkali atom [10][11][12], was met with great enthusiasm by the community [2,[13][14][15]. The nature of the SC state remains widely debated: while experiments have reported both nodeless [16][17][18][19][20] and nodal behavior [21,22], theoretical models have proposed unconventional chiral d-wave and f -wave states [23][24][25][26]. More exotic SC phenomena have also been discussed, motivated by intriguing data, including a time-reversal symmetry-breaking pairing state [21,[27][28][29], a pair density-wave [19], and charge-4e and charge-6e condensates [30].…”