Spin-triplet superconductivity in repulsive Hubbard models with disconnected Fermi surfaces: A case study on triangular and honeycomb lattices

Kuroki, Kazuhiko; Arita, Ryotaro

doi:10.1103/physrevb.63.174507

Cited by 47 publications

(11 citation statements)

References 25 publications

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“…This spin-triplet s ± -wave state has been found to be the ground state for the Hubbard model on the honeycomb lattice close to half filling in the limit of weak interactions [103,104]. It has also been shown to be favored in superconductors with generally disconnected, reasonably well-nested, Fermi surfaces driven by a spin-fluctuation exchange mechanism [105].…”

Section: B 1u and B 2u Irreducible Representationsmentioning

confidence: 96%

Chirald-wave superconductivity on the honeycomb lattice close to the Mott state

2014

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We study superconductivity on the honeycomb lattice close to the Mott state at half filling. Due to the sixfold lattice symmetry and disjoint Fermi surfaces at opposite momenta, we show that several different fully gapped superconducting states naturally exist on the honeycomb lattice, of which the chiral d + id -wave state has previously been shown to appear when superconductivity appears close to the Mott state. Using renormalized mean-field theory to study the t-J model and quantum Monte Carlo calculations of the Hubbard-U model we show that the d + id -wave state is the favored superconducting state for a wide range of on-site repulsion U , from the intermediate to the strong coupling regime. We also investigate the possibility of a mixed chirality d-wave state, where the overall chirality cancels. We find that a state with d + id -wave symmetry in one valley but d − id -wave symmetry in the other valley is not possible in the t-J model without reducing the translational symmetry, due to the zero-momentum and spin-singlet nature of the superconducting order parameter. Moreover, any extended unit cells result either in disjoint Dirac points, which cannot harbor this mixed chirality state, or the two valleys are degenerate at the zone center, where valley hybridization prevents different superconducting condensates. We also investigate extended unit cells where the overall chirality cancels in real space. For supercells containing up to eight sites, including the Kekulé distortion, we find no energetically favorable d-wave solution with an overall zero chirality within the restriction of the t-J model.

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Section: B 1u and B 2u Irreducible Representationsmentioning

confidence: 96%

Chirald-wave superconductivity on the honeycomb lattice close to the Mott state

2014

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“…In future studies high hole-doping levels will be considered in more detail. Here, triplet f −wave pairing symmetry may begin to become important due to the appearance of a disconnected Fermi surface [41]. (q max.…”

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confidence: 99%

Chiral d -wave superconductivity in a triangular surface lattice mediated by long-range interaction

et al. 2018

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Correlated ad-atom systems on the Si(111) surface have recently attracted an increased attention as strongly correlated systems with a rich phase diagram. We study these materials by a single band model on the triangular lattice including 1/r long-range interaction. Employing the recently proposed TRILEX method we find an unconventional superconducting phase of chiral d-wave symmetry in hole-doped systems. The superconductivity is driven simultaneously by both charge and spin fluctuations and is strongly enhanced by the long-range tail of the interaction. We provide an analysis of the relevant collective bosonic modes and explain how in triangular symmetry both charge and spin channels contribute to the Cooper pairing.

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“…2(b), the magnetic susceptibility is sharply peaked at q 0 (i.e., Q 0). Thus, the f x(x 2 −3y 2 ) -wave SC state is stabilized to avoid generation of gap nodes at the K and K points [21,22].…”

Section: Magnetic Fluctuationmentioning

confidence: 99%

“…Specifically, the socalled type-II vHS [18][19][20], whose saddle points are not located at the time-reversal invariant (TRI) momenta, is preferable for the odd-parity superconductivity. On the other hand, a disconnected form of the FS is favorable for the odd-parity pairing since generation of gap nodes is avoidable [21,22]. Stabilization of odd-parity spin-triplet pairing states has been theoretically proposed in a variety of systems with disconnected FSs, e.g., (TMTSF) 2 X (X = PF 6 ,ClO 4 ) [21,[23][24][25][26], Na x CoO 2 • yH 2 O [27][28][29][30][31][32][33][34][35], SrPtAs [36,37], and doped Kane-Mele model [38].…”

Section: Introductionmentioning

confidence: 99%

Multiple odd-parity superconducting phases in bilayer transition metal dichalcogenides

Kanasugi,

Yanase

2020

Preprint

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We study unconventional superconductivity in a two-dimensional locally noncentrosymmetric triangular lattice. The model is relevant to bilayer transition metal dichalcogenides with 2H b stacking structure, for example. The superconducting instability is analyzed by solving the linearized Eliashberg equation within the random phase approximation. We show that ferromagnetic fluctuations are dominant owing to the existence of disconnected Fermi pockets near van Hove singularity, and hence odd-parity spin-triplet superconductivity is favored. In the absence of the spin-orbit coupling, we find that odd-parity f -wave superconducting state is stabilized in a wide range of carrier density and interlayer coupling. Furthermore, we investigate impacts of the layer-dependent staggered Rashba and Zeeman spin-orbit coupling on the superconductivity. Multiple odd-parity superconducting phase diagrams are obtained as a function of the spin-orbit coupling and Coulomb interaction. Especially, a topological chiral p-wave pairing state is stabilized in the presence of a moderate Zeeman spin-orbit coupling. Our results shed light on a possibility of odd-parity superconductivity in various ferromagnetic van der Waals materials.

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Spin-triplet superconductivity in repulsive Hubbard models with disconnected Fermi surfaces: A case study on triangular and honeycomb lattices

Cited by 47 publications

References 25 publications

Chirald-wave superconductivity on the honeycomb lattice close to the Mott state

Chirald-wave superconductivity on the honeycomb lattice close to the Mott state

Chiral d -wave superconductivity in a triangular surface lattice mediated by long-range interaction

Multiple odd-parity superconducting phases in bilayer transition metal dichalcogenides

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