Kohn-Luttinger superconductivity in monolayer and bilayer semimetals with the Dirac spectrum
arXiv:1501.03947 · doi:10.1134/S1063776114120048
Abstract
The effect of Coulomb interaction in an ensemble of Dirac fermions on the formation of superconducting pairing in monolayer and bilayer doped graphene is studied using the Kohn-Luttinger mechanism disregarding the Van der Waals potential of the substrate and impurities. The electronic structure of graphene is described using the Shubin-Vonsovsky model taking into account the intratomic, interatomic, and interlayer (in the case of bilayer graphene) Coulomb interactions between electrons. The Cooper instability is determined by solving the Bethe-Saltpeter integral equation. The renormalized scattering amplitude is obtained with allowance for the Kohn-Luttinger polarization contributions up to the second order of perturbation theory in the Coulomb interaction. It plays the role of effective interaction in the Bethe-Salpeter integral equation. It is shown that the allowance for the Kohn-Luttinger renormalizations as well as intersite Coulomb interaction noticeably affects the competition between the superconducting phases with the wave and wave symmetries of the order parameter. It is demonstrated that the superconducting transition temperature for an idealized graphene bilayer with significant interlayer Coulomb interaction between electrons is noticeably higher than in the monolayer case.
arXiv comment10 pages, 7 figures
References in corpus (39)
- The electronic properties of graphene
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
- Ultrahigh electron mobility in suspended graphene
- Chiral tunneling and the Klein paradox in graphene
- Giant Intrinsic Carrier Mobilities in Graphene and Its Bilayer
- Landau level degeneracy and quantum Hall effect in a graphite bilayer
- Bipolar supercurrent in graphene
- Electron-Electron Interactions in Graphene: Current Status and Perspectives
- Quantum interference and Klein tunneling in graphene heterojunctions
- The electronic properties of bilayer graphene
- Measurement of Scattering Rate and Minimum Conductivity in Graphene
- Chiral superconductivity from repulsive interactions in doped graphene
- Zitterbewegung, chirality, and minimal conductivity in graphene
- Strength of effective Coulomb interactions in graphene and graphite
- Superconducting states of pure and doped graphene
- A Survey of the Van Hove Scenario for High-T_c Superconductivity With Special Emphasis on Pseudogaps and Striped Phases
- Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
- Competing many-body instabilities and unconventional superconductivity in graphene
- Josephson Current and Multiple Andreev Reflections in Graphene SNS Junctions
- Density waves and Cooper pairing on the honeycomb lattice
- Resonating valence bonds and mean-field d-wave superconductivity in graphite
- Electron-electron interactions in graphene sheets
- Coulomb Interactions and Ferromagnetism in Pure and Doped Graphene
- Screening, Kohn anomaly, Friedel oscillation, and RKKY interaction in bilayer graphene
- Kohn-Luttinger superconductivity in graphene
- Theory of electron Zitterbewegung in graphene probed by femtosecond laser pulses
- Parquet solution for a flat Fermi surface
- Tuning the proximity effect in a superconductor-graphene-superconductor junction
- Proximity Induced Superconductivity and Multiple Andreev Reflections in Few-Layer-Graphene
- Unconventional high-temperature superconductivity from repulsive interactions: theoretical constraints
- Quantum Criticality and Superconductivity in Quasi-Two-Dimensional Dirac Electronic Systems
- Pomeranchuk instability in doped graphene
- Magnetic and Kohn-Luttinger instabilities near a Van Hove singularity: monolayer versus twisted bilayer graphene
- Anomalous resistivity and the origin of a heavy mass in the two-band Hubbard model with one narrow band
- Electronic correlations in graphite and carbon nanotubes from Auger spectroscopy
- The Kohn-Luttinger superconductivity in idealized doped graphene
- Tight-binding study of bilayer graphene Josephson junctions
- Effect of long-range interactions on the Kohn-Luttinger mechanism of the Cooper instability in the Shubin-Vonsowsky model
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