The Kohn-Luttinger effect and anomalous pairing in new superconducting systems and graphene

Abstract

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, and Shubin-Vonsovsky models. Phase diagrams of the superconducting state are considered, including regions of anomalous $s$-, $p$-, and $d$-wave pairing. The possibility of a strong increase in the superconducting transition temperature $T_c$ even for a low electron density is demonstrated by analyzing the spin-polarized case or the two-band situation. The Kohn-Luttinger theory explains or predicts superconductivity in various materials such as heterostructures and semimetals, superlattices and dichalcogenides, high-$T_c$ superconductors and heavy-fermion systems, layered organic superconductors, and ultracold Fermi gases in magnetic traps. This theory also describes the anomalous electron transport and peculiar polaron effects in the normal state of these systems. The theory can be useful for explaining the origin of superconductivity and orbital currents (chiral anomaly) in systems with the Dirac spectrum of electrons, including superfluid ${}^3$He-A, doped graphene, and topological superconductors.

arXiv comment18 pages, 11 figures

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Cited by in corpus (13)

• Functional Renormalization Group Study of Superconductivity in Rhombohedral Trilayer Graphene
• Many-body effects in twisted bilayer graphene at low twist angles
• Unconventional superconductivity due to interband polarization
• Fermi-Bose mixtures and BCS-BEC crossover in high-Tc superconductors
• Anyon Superconductivity from Topological Criticality in a Hofstadter-Hubbard Model
• Unconventional superconductivity in low density electron systems and conventional superconductivity in hydrogen metallic alloys under pressure
• Twists and turns of superconductivity from a repulsive dynamical interaction
• Phase diagram of the Kohn-Luttinger superconducting state for bilayer graphene
• Anomalous superconductivity and superfluidity in repulsive fermion systems
• Superconductivity and spin density wave in AA stacked bilayer graphene
• Renormalization-group approach to the Kohn-Luttinger superconductivity: Amplification of the pairing gap from ${\ell }^4$ to $\ell$
• Effect of the long-range Coulomb interaction on phase diagram of the Kohn-Luttinger superconducting state in idealized graphene
• Unconventional superconductivity from electronic dipole fluctuations