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Аномальная сверхпроводимость и необычные свойства нормального состояния двухслойного и подкрученного графена (Миниобзор)
In the review, based on the results of the authors' work in systems with hexagonal lattice, we demonstrate the possibility of realizing the mechanism of the Kohn-Luttinger superconductivity under conditions of its competition with other types of ordering, and also consider a number of unusual properties of these systems in the normal phase. In the first part, we present our early results on Kohn-Luttinger superconductivity with p-, d-, and f-pairing in monolayer and bilayer AB graphene, obtained without taking into account the effects of substrate potential and impurities. Then the competition of the superconducting Kohn-Luttinger state with the spin density wave state in real AB, AA, and twisted bilayers of graphene is discussed in detail. In the last parts, results on a number of anomalous properties in the normal phase and the occurrence of nematic superconductivity near the onset of a spin density wave state in the twisted graphene bilayer are presented.