Hidden Quasi-One-Dimensional Superconductivity in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>Sr</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>RuO</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:math>

Raghu, S.; Kapitulnik, A.; Kivelson, Steven A.

doi:10.1103/physrevlett.105.136401

Cited by 208 publications

(272 citation statements)

References 26 publications

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“…Nearest-neighbor pairing for the d xy orbital and nextnearest neighbor pairing for the d xz and d yz orbitals represent the lowest lattice harmonics consistent with a weak coupling analysis 24 , which predicts a fully gapped d xy orbital and "accidental" nodes on d xz and d yz which are lifted to parametrically deep gap minima in the presence of orbital mixing t ′ . Calculations are performed with the selfconsistency conditions ∆ γ…”

Section: Model Hamiltoniansmentioning

confidence: 97%

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Suppression of spontaneous currents inSr2RuO4by surface disorder

et al. 2014

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A major challenge to the chiral p-wave hypothesis for the pairing symmetry of the unconventional superconductor Sr2RuO4 is the null result of sensitive scanning magnetometry experiments designed to detect the expected spontaneous charge currents. Motivated by junction tunneling conductance measurements which indicate the quenching of superconductivity at the surfaces of even high-purity samples, we examine the spontaneous currents in a chiral p-wave superconductor near a normal metal / superconductor interface using the lattice Bogoliubov-de Gennes equations and Ginzburg-Landau theory, and find that the edge current is suppressed by more than an order of magnitude compared to previous estimates. These calculations demonstrate that interface details can have a quantitatively meaningful effect on the expectations for magnetometry experiments.

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Section: Model Hamiltoniansmentioning

confidence: 97%

“…Superconductivity on the quasi-1D bands was previously conjectured 24 to lead to dramatically reduced edge currents compared to a quasi-2D scenario due to trivial topology (i.e. the Chern numbers of the two bands add to zero, yielding no net chiral edge modes).…”

Section: Discussionmentioning

confidence: 99%

Suppression of spontaneous currents inSr2RuO4by surface disorder

et al. 2014

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“…For example, in the other often discussed fully gapped time-reversal breaking state in the cuprates, d x 2 −y 2 + is, them-vector just oscillates between two extrema when moving around the k-point origin and does not cover the full circle, thus giving N = 0 [118]. In a multiband superconductor, the Skyrmion winding numbers have to be calculated for each individual band crossing the Fermi level and can then add up to zero [120]. In the case of graphene, this chirality of a superconducting state should not be confused with the chirality of the honeycomb band structure, which is related to the winding in sublattice space.…”

Section: Non-trivial Topologymentioning

confidence: 99%

Chirald-wave superconductivity in doped graphene

Black‐Schaffer

Honerkamp

2014

J. Phys.: Condens. Matter

172

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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“…An important question of interest is what is the microscopic mechanism responsible for such a highly exotic superconducting state. In this regard, models based on ferromagnetic 10 or antiferromagnetic fluctuations 11 , spin-orbit coupling 12 , interaction theory 13,14 , Hund's rule coupling 15 and interplay of charge and spin fluctuations in the one-dimensional bands 16 have been proposed. The debate on these mechanisms is currently ongoing 6 .…”

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confidence: 99%

Enhanced spin-triplet superconductivity near dislocations in Sr2RuO4

et al. 2013

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Superconductors with a chiral p-wave pairing are of great interest because they could support Majorana modes that could enable the development of topological quantum computing technologies that are robust against decoherence. Sr 2 RuO 4 is widely believed to be a chiral p-wave superconductor. Yet, the mechanism by which superconductivity emerges in this, and indeed most other unconventional superconductors, remains unclear. Here we show that the local superconducting transition temperature in the vicinity of lattice dislocations in Sr 2 RuO 4 can be up to twice that of its bulk. This is all the more surprising for the fact that disorder is known to easily quench superconductivity in this material. With the help of a phenomenological theory that takes into account the crystalline symmetry near a dislocation and the pairing symmetry of Sr 2 RuO 4 , we predict that a similar enhancement should emerge as a consequence of symmetry reduction in any superconductor with a two-component order parameter.

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Hidden Quasi-One-Dimensional Superconductivity inSr2RuO4

Cited by 208 publications

References 26 publications

Suppression of spontaneous currents inSr2RuO4by surface disorder

Suppression of spontaneous currents inSr2RuO4by surface disorder

Chirald-wave superconductivity in doped graphene

Enhanced spin-triplet superconductivity near dislocations in Sr2RuO4

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