Correlated Dirac particles and superconductivity on the honeycomb lattice

Wú, Wéi; Scherer, Michael M.; Honerkamp, Carsten; Hur, Karyn Le

doi:10.1103/physrevb.87.094521

Cited by 76 publications

(140 citation statements)

References 170 publications

(208 reference statements)

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“…In Ref. [7], renormalized mean-field theory is applied on the t − J model (thus in the strong coupling limit, not the same regime as ours). A functional renormalization-group analysis is also performed, with the same conclusions, even though the approach is usually applied at lower coupling.…”

Section: Discussionmentioning

confidence: 99%

Chiral triplet superconductivity on the graphene lattice

2015

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Motivated by the possibility of superconductivity in doped graphene sheets, we investigate superconducting order in the extended Hubbard model on the two-dimensional graphene lattice using the variational cluster approximation (VCA) and the cellular dynamical mean-field theory (CDMFT) with an exact diagonalization solver at zero temperature. The nearest-neighbor interaction is treated using a mean-field decoupling between clusters. We compare different pairing symmetries, singlet and triplet, based on short-range pairing. VCA simulations show that the real (nonchiral), triplet p-wave symmetry is favored for small V , small on-site interaction U or large doping, whereas the chiral combination p + ip is favored for larger values of V , stronger on-site interaction U or smaller doping. CDMFT simulations confirm the stability of the p + ip solution, even at half-filling. Singlet superconductivity (extended s-wave or d-wave) is either absent or sub-dominant.

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Section: Discussionmentioning

confidence: 99%

Chiral triplet superconductivity on the graphene lattice

2015

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“…Also, the d-wave solution has a much higher T c than the s-wave solution and it is thus the preferred superconducting instability for Fermi surfaces centered around K, K [39]. If we reinstate the statistical weight factors present in the strong coupling t-J model, the d-wave solution is still the preferred solution at finite doping [40]. Also, solving the strong coupling t-J model using slave-boson theory produces results in agreement with these mean-field results [40].…”

Section: Order Parameter Symmetriesmentioning

confidence: 96%

Chirald-wave superconductivity in doped graphene

Black‐Schaffer

Honerkamp

2014

J. Phys.: Condens. Matter

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176

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Abstract. A highly unconventional superconducting state with a spin-singlet d x 2 −y 2 ± id xy -wave, or chiral d-wave, symmetry has recently been proposed to emerge from electron-electron interactions in doped graphene. Especially graphene doped to the van Hove singularity at 1/4 doping, where the density of states diverges, has been argued to likely be a chiral d-wave superconductor. In this review we summarize the currently mounting theoretical evidence for the existence of a chiral d-wave superconducting state in graphene, obtained with methods ranging from mean-field studies of effective Hamiltonians to angle-resolved renormalization group calculations. We further discuss multiple distinctive properties of the chiral d-wave superconducting state in graphene, as well as its stability in the presence of disorder. We also review means of enhancing the chiral d-wave state using proximity-induced superconductivity. The appearance of chiral d-wave superconductivity is intimately linked to the hexagonal crystal lattice and we also offer a brief overview of other materials which have also been proposed to be chiral d-wave superconductors.

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“…Whereas most studies have focused on singlet, and in particular chiral, dwave superconducivity [3][4][5][6][7][8][9], it has been argued recently that triplet superconductivity would be favored [1,2]. Interestingly, certain vortex excitations in triplet, p + ip superconductors have zero-energy Majorana modes in their cores [10] and this endows these vortices with non-Abelian statistics [11].…”

Section: Introductionmentioning

confidence: 99%

Kekulé superconductivity and antiferromagnetism on the graphene lattice

2016

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We investigate superconducting order in the extended Hubbard model on the two-dimensional graphene lattice using the variational cluster approximation (VCA) with an exact diagonalization solver at zero temperature. Building on the results of Ref.[1], which identified triplet p-and p + ip-wave superconductivity as the most favored pairing symmetries in that model, we place uniform SC solutions in competition with a nonuniform Kekulé (p+i p-K) superconducting pattern, similar to those proposed in Ref. [2]. We find that the p+i p-K solution is in fact the most favored pairing in most of the phase diagram. In addition, we show that antiferromagnetism can co-exist with the p+ip-K state and that both orders are enhanced by their coexistence.

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Correlated Dirac particles and superconductivity on the honeycomb lattice

Cited by 76 publications

References 170 publications

Chiral triplet superconductivity on the graphene lattice

Chiral triplet superconductivity on the graphene lattice

Chirald-wave superconductivity in doped graphene

Kekulé superconductivity and antiferromagnetism on the graphene lattice

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