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Original Articles

Nonuniform Electron–Hole Pairing in Graphene Bilayer

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Pages 569-573 | Published online: 14 May 2012
 

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.

Acknowledgments

The work was supported by the Russian Foundation for Basic Research (10-02-92607-Ko a) and by the grant of the president of the Russian Federation (MK-5288.2011.2). One of the authors (DKE) acknowledges support from the Dynasty Foundation.

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