# Effect of the Long-Range Coulomb Interaction on the Phase Diagram of the Kohn–Luttinger Superconducting State in Idealized Graphene

@article{Kagan2016EffectOT,
title={Effect of the Long-Range Coulomb Interaction on the Phase Diagram of the Kohn–Luttinger Superconducting State in Idealized Graphene},
author={Maxim Yu. Kagan and V. A. Mitskan and Maxim M. Korovushkin},
journal={Journal of Low Temperature Physics},
year={2016},
volume={185},
pages={508-514}
}
• Published 2 November 2015
• Physics
• Journal of Low Temperature Physics
The effect of the long-range Coulomb interaction on the formation of the Kohn–Luttinger superconductivity in monolayer doped graphene is studied disregarding the Van der Waals potential of the substrate and both magnetic and non-magnetic impurities. It is shown that the allowance for the Kohn–Luttinger renormalizations up to the second order in perturbation theory in the on-site Hubbard interaction inclusively, as well as in the intersite Coulomb interaction, significantly affects the interplay…

## References

SHOWING 1-10 OF 10 REFERENCES
The Kohn–Luttinger superconductivity in idealized doped graphene
• Physics
• 2014
Abstract Idealized graphene monolayer is considered neglecting the van der Waals potential of the substrate and the role of the nonmagnetic impurities. The effect of the long-range Coulomb repulsion
The Kohn-Luttinger effect and anomalous pairing in new superconducting systems and graphene
• Physics
• 2014
We present a review of theoretical investigations into the Kohn-Luttinger nonphonon superconductivity mechanism in various 3D and 2D repulsive electron systems described by the Fermi-gas, Hubbard,
Superconductivity from weak repulsion in hexagonal lattice systems
• Physics, Materials Science
• 2014
lling for a triangular lattice). We argue that for a generic doping in this range, superconductivity at weak coupling is of Kohn-Luttinger type, and, due to the presence of electronic interactions
Chiral d-wave superconductivity in doped graphene.
• Physics, Medicine
Journal of physics. Condensed matter : an Institute of Physics journal
• 2014
This review summarizes 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.
The Ginzburg-Landau expansion and the slope of the upper critical field in disordered superconductors
• Physics
• 1996
AbstractIt is shown that the slope of the upper critical field $$\left| {dH_{c2} /dT} \right|_{T_c }$$ in superconductors with d pairing drops rapidly with increasing concentration of normal
On the Electron Theory of Metals
• Mathematics
• 1934
The most serious defect of the modern theory of metals is the very unsatisfactory manner in which it takes account of the forces of interaction between the valency electrons of the metal. This is
The Band Theory of Graphite
The structure of the electronic energy bands and Brillouin zones for graphite is developed using the "tight binding" approximation. Graphite is found to be a semi-conductor with zero activation
Chiral superconductivity from repulsive interactions in doped graphene
• Materials Science, Physics
• 2012
Chiral superconducting states are expected to support a variety of exotic and potentially useful phenomena. Theoretical analysis suggests that just such a state could emerge in a doped graphene
Condens
• Ma tter 26, 423201
• 2014