Anomalous Exciton-Condensation in Graphene Bilayers

Abstract

In ordinary semiconductor bilayers, exciton condensates appear at total Landau level filling factor ${\nu }_T=1$. We predict that similar states will occur in Bernal stacked graphene bilayers at many non-zero integer filling factors. For ${\nu }_T=-3,1$ we find that the superfluid density of the exciton condensate vanishes and that a finite-temperature fluctuation induced first order isotropic-smectic phase transition occurs when the layer densities are not balanced. These anomalous properties of bilayer graphene exciton condensates are due to the degeneracy of Landau levels with $n=0$ and $n=1$ orbital character.

4 pages, 1 figure

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• Particle-hole symmetry and bifurcating ground state manifold in the quantum Hall ferromagnetic states of multilayer graphene
• Interaction-enhanced electron-hole and valley asymmetries in the lowest Landau level of ABA-stacked trilayer graphene
• Infrared spectroscopy of phase transitions in the lowest Landau levels of bilayer graphene
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