Topological superconductivity in Dirac honeycomb systems

Lee, Kyungmin; Hazra, Tamaghna; Randeria, Mohit; Trivedi, Nandini

doi:10.1103/physrevb.99.184514

Cited by 17 publications

(18 citation statements)

References 52 publications

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“…The ultimate question is whether these ideas and the contrast between the two extreme perspectives can be either directly supported or falsified. In this sense the recent proposal of a method to directly measure PDW fluctuations in a tunnel junction using Bi-2201 as one electrode and then taking advantage of the known momentum that is present in this material offers some hope for the future (232).…”

Section: Broader Relevance For the Cuprate Superconductorsmentioning

confidence: 99%

The Physics of Pair-Density Waves: Cuprate Superconductors and Beyond

Agterberg

Davis

Edkins

et al. 2020

Annu. Rev. Condens. Matter Phys.

311

205

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We review the physics of pair density wave (PDW) superconductors. We begin with a macroscopic description that emphasizes order induced by PDW states, such as charge density wave, and discuss related vestigial states that emerge as a consequence of partial meting of the PDW order. We review and critically discuss the mounting experimental evidence for such PDW order in the cuprate superconductors, the status of the theoretical microscopic description of such order, and the current debate on whether the PDW is a "mother order" or another competing order in the cuprates. In addition, we give an overview of the weak coupling version of PDW order, Fulde-Ferrell-Larkin-Ovchinnikov states, in the context of cold atom systems, unconventional superconductors, and non-centrosymmetric and Weyl materials.The GLW energy density consistent with time-reversal, parity, space group, and gauge symmetries is (5, 15)The parameters βi depend upon the specific microscopic model. Depending on which values are found for these, one of five possible ground states can be realized. These five phases include the following: the FF-type phase with only one momentum component, the FF * phase which is a bidirectional version of the FF-type phase, the LO type which include pairing with opposite momentum components: these include the unidirectional phase, and the bidirectional-I (II) phases which have a phase factor of 0 (π/2) between the two unidirectional components. These five states give rise to different patterns of induced order, providing a means to distinguish them. We now turn to these induced orders.Induced Order Parameters www.annualreviews.org • The Physics of Pair Density Waves 3 6 Agterberg et al.

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Section: Broader Relevance For the Cuprate Superconductorsmentioning

confidence: 99%

The Physics of Pair-Density Waves: Cuprate Superconductors and Beyond

Agterberg

Davis

Edkins

et al. 2020

Annu. Rev. Condens. Matter Phys.

311

205

View full text Add to dashboard Cite

show abstract

“…2a in Ref. [9]). It turns out that the matrix elements of the mean-field single-particle Green's function in the momentum space, proportional to < Ψ Ak↓ Ψ A−k↑ > and < Ψ Bk↓ Ψ B−k↑ >, are different, and therefore, we have to introduce two gaps, ∆ A , and ∆ B .…”

Section: Introductionmentioning

confidence: 90%

“…In a recent paper [9], the phase diagram of the attractive Kane-Mele-Hubbard (KMH) model at half filling has been obtained as a function of a tuning parameter x = 3 √ 3λ/(m AB + 3 √ 3λ). Here λ is the strength of intrinsic spin-orbit (ISO) coupling, and m AB is sub-lattice potential.…”

Section: Introductionmentioning

confidence: 99%

“…The authors of Ref. [9] pointed out that depending on the value of the parameter 0 ≤ x ≤ 1, the system can be taken across the topological phase transition. For x < 1/2 we have a topological trivial insulator, while for x > 1/2 the system is in topological non-trivial insulator state.…”

Section: Introductionmentioning

confidence: 99%

“…The phase diagram of the KMH model, reported in Ref. [9], was calculated within the selfconsistent Bogoliubov-de Gennes theory using a supercell with six sites. The corresponding system parameters are Λ = (1 − x)E g , 3 √ 3λ = xE g , and E g = t/2.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Attractive Kane-Mele-Hubbard model at half filling: phase diagram and Cooperon condensation

Koinov

2020

Preprint

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The authors of the first one presented the phase diagram which interpolates the trivial and non-trivial topological states. However, the next-nearest-neighbor (NNN) hopping term has been neglected, although it is several orders of magnitude stronger than the internal spin-orbit coupling. We use the mean-field approximation to derive the phase diagram of the attractive KMH model with NNN hoping at half filling. The phase diagram without and the phase diagram with NNN hopping are significantly different in the non-trivial topological region.The possibility to have superconducting instability in the attractive KMH model has been analyzed in the second paper within the T-matrix approximation. The question that naturally arises here is about the contributions due to the bubble diagrams, which are included in the Bethe-Salpeter (BS) equation, but neglected by the T-matrix approximation. To answer this question, we apply the BS formalism to calculate the slope of the Goldstone mode and the corresponding sound velocity. We found 4% difference between the values of the sound velocity provided by the T-matrix approximation and the BS equation. This small difference confirm previously reported result that close to the phase transition boundary the bubble-diagram contributions are not important.

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Sumanene Monolayer of Pure Carbon: A Two‐Dimensional Kagome‐Analogy Lattice with Desirable Band Gap, Ultrahigh Carrier Mobility, and Strong Exciton Binding Energy

Shi

Gao

Liu

et al. 2022

Small

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The design and synthesis of novel two‐dimensional (2D) materials that possess robust structural stability and unusual physical properties may open up enormous opportunities for device and engineering applications. Herein, a 2D sumanene lattice that can be regarded as a derivative of the conventional Kagome lattice is proposed. The tight‐binding analysis demonstrates sumanene lattice contains two sets of Dirac cones and two sets of flat bands near the Fermi surface, distinctively different from the Kagome lattice. Using first‐principles calculations, two possible routines for the realization of stable 2D sumanene monolayers (named α phase and β phase) are theoretically suggested, and an α‐sumanene monolayer can be experimentally synthesized with chemical vapor deposition using C21H12 as a precursor. Small binding energies on Au(111) surface (e.g., −37.86 eV Å−2 for α phase) signify the possibility of their peel‐off after growing on the noble metal substrate. Importantly, the GW plus Bethe–Salpeter equation calculations demonstrate both monolayers have moderate band gaps (1.94 eV for α) and ultrahigh carrier mobilities (3.4 × 104 cm2 V−1 s−1 for α). In particular, the α‐sumanene monolayer possesses a strong exciton binding energy of 0.73 eV, suggesting potential applications in optics.

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Topological superconductivity in Dirac honeycomb systems

Cited by 17 publications

References 52 publications

The Physics of Pair-Density Waves: Cuprate Superconductors and Beyond

The Physics of Pair-Density Waves: Cuprate Superconductors and Beyond

Attractive Kane-Mele-Hubbard model at half filling: phase diagram and Cooperon condensation

Sumanene Monolayer of Pure Carbon: A Two‐Dimensional Kagome‐Analogy Lattice with Desirable Band Gap, Ultrahigh Carrier Mobility, and Strong Exciton Binding Energy

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