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Monday, December 22, 2008

Phase Transitions in Graphene


Dreaming about graphene is a beautiful thing. The leptons become light and dark excitons. Suspending graphene makes the top and bottom surfaces indistinguishable. You can even invert its handedness. Time reversal symmetry makes single layer graphene almost perfect. But bilayer is great, too. A magnetic field can be applied to change the phase of the excitons in a bilayer, half-filled system to that of a Bose Einstein condensate. When current flows in opposite directions in the two layers, the resistance goes to zero. An oddly quantized vortex binding one zero mode per valley is present, though slightly split due to a mixing of the valleys in the graphene layers. You can also have a phase transition from this coherent excitonic phase to a pair of single-layer fractional Quantum Hall States as a function of layer spacing. There is always something new to read about graphene as one drifts off to sleep.

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