Stable Skyrmions in Spinor Condensates

Herbut, Igor F.; Oshikawa, Masaki

doi:10.1103/physrevlett.97.080403

Cited by 248 publications

(483 citation statements)

References 23 publications

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“…3 In all these cases, the linearly dispersing Dirac quasiparticles give rise to a semimetallic ground state, stable against weak electronelectron interactions. 4 When the repulsive interactions are sufficiently strong, however, a plethora of insulating phases can in principle be realized in graphene. [4][5][6] Furthermore, Dirac fermions in graphene can also condense into four different gapped superconducting states, if the net interaction acquires an attractive component.…”

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confidence: 99%

Quantum superconducting criticality in graphene and topological insulators

2013

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We correct our previous conclusion regarding the fate of a charged quantum critical point across the superconducting transition for two dimensional massless Dirac fermion. Within the leading order expansion, we now find that the requisite number of four-component Dirac fermion flavors (N f ) for the continuous phase transition through a charged critical point is N f > 18.2699. For N f ≥ 1/2, the critical number of bosonic flavors for this transition is significantly reduced as compared to the value determined in the absence of the Dirac fermions in the theory.

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confidence: 99%

Quantum superconducting criticality in graphene and topological insulators

2013

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“…[4,5,6,7,8,9,10,11,12,13,14,15,17,16]). There, the predominant ordering tendencies are in the particle-hole channel, and usually superconductivity is not among the leading candidates.…”

Section: Undoped and Weakly Doped Graphenementioning

confidence: 99%

“…A large number of exotic states of matter has been proposed theoretically, see e.g. [4,5,6,7,8,9,10,11,12,13,14,15,16,17], but most have not been experimentally observed as of yet. One exception is multi-layer graphene systems where there are now experimental reports of an energy gap opening at low temperatures, which has been ascribed to interactions effects [18,19,20,21,22,23,24,25].…”

Section: Introductionmentioning

confidence: 99%

Chirald-wave superconductivity in doped graphene

Black‐Schaffer

Honerkamp

2014

J. Phys.: Condens. Matter

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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“…20 Extensive studies on interacting graphene have shown a variety of competing phases. [22][23][24] Below we discuss the effects of producing the longer range interactions required for topological order using the Friedel oscillations and Ruderman-Kittel-Kasuya-Yosida (RKKY) interactions occurring in a metallic (Fermi-gas) environment. Our analysis considers the possibility of forming both topological phases as well as other competing phases.…”

Section: Introductionmentioning

confidence: 99%

Inducing topological order in a honeycomb lattice

Pereg-Barnea

Refael

2012

Phys. Rev. B

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We explore the possibility of inducing a topological insulator phase in a honeycomb lattice lacking spin-orbit interaction using a metallic (or Fermi gas) environment. The lattice and the metallic environment interact through a density-density interaction without particle tunneling, and integrating out the metallic environment produces a honeycomb sheet with in-plane oscillating long-ranged interactions. We find the ground state of the interacting system in a variational mean-field method and show that the Fermi wave vector k F of the metal determines which phase occurs in the honeycomb lattice sheet. This is analogous to the Ruderman-KittelKasuya-Yosida (RKKY) mechanism in which the metal's k F determines the interaction profile as a function of the distance. Tuning k F and the interaction strength may lead to a variety of ordered phases, including a topological insulator and anomalous quantum-Hall states with complex next-nearest-neighbor hopping, as in the Haldane and the Kane-Mele model. We estimate the required range of parameters needed for the topological state and find that the Fermi vector of the metallic gate should be of the order of 3π/8a (with a being the graphene lattice constant). The net coupling between the layers, which includes screening in the metal, should be of the order of the honeycomb lattice bandwidth. This configuration should be most easily realized in a cold-atoms setting with two interacting Fermionic species.

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Stable Skyrmions in Spinor Condensates

Cited by 248 publications

References 23 publications

Quantum superconducting criticality in graphene and topological insulators

Quantum superconducting criticality in graphene and topological insulators

Chirald-wave superconductivity in doped graphene

Inducing topological order in a honeycomb lattice

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