Abstract
Electron–hole (e–h) pairing caused by Coulomb interaction in the system of independently gated graphene layers is considered. The influence of the mismatch of concentrations of e and h and trigonal warping of their spectrum on critical temperature is studied. We predict the appearance of the state with finite value of Cooper pair momentum–Larkin–Ovchinnikov–Fulde–Ferrell-like (LOFF) state at mismatch of the concentrations of e and above the critical value. Internal Josephson effect in LOFF-like state caused by interlayer tunneling of e and h is considered. We suggest a new phase-sensitive experiment based on the internal Josephson effect for probing spatial structure of order parameter in a LOFF-like state.
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