Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2009-07-14
Phys. Rev. B 81, 041402(R) (2010), Selected for a Viewpoint in Physics 3, 1 (2010)
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages, 2 figures and supplementary information
Scientific paper
10.1103/PhysRevB.81.041402
Electrons most often organize into Fermi-liquid states in which electron-electron interactions play an inessential role. A well known exception is the case of one-dimensional (1D) electron systems (1DES). In 1D the electron Fermi-surface consists of points, and divergences associated with low-energy particle-hole excitations abound when electron-electron interactions are described perturbatively. In higher space dimensions, the corresponding divergences occur only when Fermi lines or surfaces satisfy idealized nesting conditions. In this article we discuss electron-electron interactions in 2D graphene bilayer systems which behave in many ways as if they were one-dimensional, because they have Fermi points instead of Fermi lines and because their particle-hole energies have a quadratic dispersion which compensates for the difference between 1D and 2D phase space. We conclude, on the basis of a perturbative RG calculation similar to that commonly employed in 1D systems, that interactions in neutral graphene bilayers can drive the system into a strong-coupling broken symmetry state with layer-pseudospin ferromagnetism and an energy gap.
MacDonald Allan. H.
Min Hongki
Polini Marco
Zhang Fangfu
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