First order ferromagnetic phase transition in the low electronic density regime of a biased graphene bilayer

Abstract

The phase diagram of a biased graphene bilayer is computed and the existence of a ferromagnetic phase is discussed both in the critical on-site interaction $U_c$ versus doping density and versus temperature. We show that in the ferromagnetic phase the two planes have unequal magnetization and that the electronic density is hole like in one plane and electron like in the other. We give evidence for a \emph{first-order} phase transition between paramagnetic and ferromagnetic phases induced by doping at zero temperature.

19 pages, 7 figures; detailed presentation of the calculations done in Phys. Rev. Lett. 100, 186803 (2008)

References in corpus (38)

• Electric Field Effect in Atomically Thin Carbon Films
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• The Raman Fingerprint of Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Two Dimensional Atomic Crystals
• Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics
• Giant Intrinsic Carrier Mobilities in Graphene and Its Bilayer
• Spatially Resolved Raman Spectroscopy of Single- and Few-Layer Graphene
• Landau level degeneracy and quantum Hall effect in a graphite bilayer
• Biased bilayer graphene: semiconductor with a gap tunable by electric field effect
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Gate-induced insulating state in bilayer graphene devices
• Magnetism in Graphene Induced by Single-Atom Defects
• Electronic Properties of Disordered Two-Dimensional Carbon
• Asymmetry gap in the electronic band structure of bilayer graphene
• Electronic states and Landau levels in graphene stacks
• Electronic structure and magnetic properties of graphitic ribbons
• Disorder Induced Localized States in Graphene
• Ab Initio Theory of Gate Induced Gaps in Graphene Bilayers
• Magnetic nanographite
• From Nagaoka's ferromagnetism to flat-band ferromagnetism and beyond: An introduction to ferromagnetism in the Hubbard model
• Ferromagnetism in Oriented Graphite Samples
• Local defects and ferromagnetism in graphene layers
• $\pi$-Electron Ferromagnetism in Metal Free Carbon Probed by Soft X-Ray Dichroism
• Unconventional magnetism in all-carbon nanofoam
• Coulomb Interactions and Ferromagnetism in Pure and Doped Graphene
• Electron-electron interactions and the phase diagram of a graphene bilayer
• Reentrant Metallic Behavior of Graphite in the Quantum Limit
• Low density ferromagnetism in biased bilayer graphene
• Phase diagram and magnetic collective excitations of the Hubbard model in graphene sheets and layers
• Impurities in a Biased Graphene Bilayer
• Field-induced metal-insulator Field-induced metal-insulator transition in the c-axis resistivity of graphite
• Electron-electron interaction and charging effects in graphene quantum dots
• Disorder and interaction effects in two dimensional graphene sheets
• Fermi Liquid Theory of a Fermi Ring
• Interactions and magnetism in graphene boundary states
• Absence of Metal-Insulator-Transition and Coherent Interlayer Transport in oriented graphite in parallel magnetic fields
• Weak ferromagnetism and spiral spin structures in honeycomb Hubbard planes

Cited by in corpus (7)

• Magnetism in strained graphene dots
• Isospin and momentum polarized orders in bilayer graphene
• Electronic transport through a graphene-based ferromagnetic/normal/ferromagnetic junction
• External gates and transport in biased bilayer graphene
• The role of pressure on the magnetism of bilayer graphene
• Signatures of electronic ordering in transport in graphene flat bands
• Electron-electron interactions in non-equilibrium bilayer graphene