Dynamical Screening and Excitonic Instability in Bilayer Graphene

2009/07/31 by Rahul Nandkishore, Leonid Levitov · 198 citations
Engineering · Materials Science · Physics and Astronomy · #Bilayer #Bilayer graphene #Condensed matter physics #Coulomb #Electron #Gapless playback #Graphene #Graphene research and applications #Instability #Molecular Junctions and Nanostructures #Physics #Quantum and electron transport phenomena #Quantum mechanics #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.104.156803

published in Physical Review Letters 104(15), 156803 (American Physical Society) · 4 pgs, 2 fgs

arxiv created 2010/02/03 · openalex publication_date 2010/04/15 · arxiv updated 2010/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Electron interactions in undoped bilayer graphene lead to an instability of the gapless state, "which-layer" symmetry breaking, and energy gap opening at the Dirac point. In contrast with single-layer graphene, the bilayer system exhibits instability even for an arbitrarily weak interaction. A controlled theory of this instability for realistic dynamically screened Coulomb interactions is developed, with full account of the dynamically generated ultraviolet cutoff. This leads to an energy gap that scales as a power law of the interaction strength, making the excitonic instability readily observable.

Citations

• Many-body instability of Coulomb interacting bilayer graphene: Renormalization group approach
• Zero-Energy State in Graphene in a High Magnetic Field
• Electron-electron interactions and the phase diagram of a graphene bilayer
• Room-temperature superfluidity in graphene bilayers

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