Electron-electron interactions and the phase diagram of a graphene bilayer

2005/12/31 by Johan Nilsson, A. H. Castro Neto, N. M. R. Peres +1 · 11 citations
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum and electron transport phenomena #Surface and Thin Film Phenomena #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.73.214418

published as Phys. Rev. B 73, 214418 (2006) · 11 pages, 4 figures; extended version

openalex publication_date 2006/06/12 · arxiv created 2006/12/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the effects of long and short-range electron-electron interactions in a graphene bilayer. Using a variational wave function technique we show that in the presence of long-range Coulomb interactions the clean bilayer is always unstable to electron and hole pocket formation with a finite ferromagnetic polarization. Furthermore, we argue that short-range electron-electron interactions lead to a staggered orientation of the ordered ferromagnetic moment in each layer (that is, c-axis antiferromagnetism). We also comment on the effects of doping and trigonal distortions of the electronic bands.

Citations

• Band Structure of Graphite
• Van der Waals Density Functional for General Geometries
• Metal-Insulator-Like Behavior in Semimetallic Bismuth and Graphite
• Band Structure of Graphite and de Haas-van Alphen Effect

Cited by

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• Induced chiral Dirac fermions in graphene by a periodically modulated magnetic field
• Effect of a Single Localized Impurity on the Local Density of States in Monolayer and Bilayer Graphene
• Remarks on the tight-binding model of graphene
• Magnetoelectric coupling, Berry phase, and Landau level dispersion in a biased bilayer graphene
• Screening-induced transport at finite temperature in bilayer graphene
• Electronic properties of a biased graphene bilayer
• Electronic Compressibility of a Graphene Bilayer
• Many-body instability of Coulomb interacting bilayer graphene: Renormalization group approach
• Electron interactions in bilayer graphene: Marginal Fermi liquid and zero-bias anomaly
• Phase-Coherent Transport in Graphene Quantum Billiards