Variational approach to the excitonic phase transition in graphene

Details Variational approach to the excitonic phase transition in graphene Variational approach to the excitonic phase transition in graphene

2010-07-20

arxiv.org/abs/1007.3471v1

Phys.Rev.B82:121413,2010

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages

Scientific paper

10.1103/PhysRevB.82.121413

We analyze the Coulomb interacting problem in undoped graphene layers by using an excitonic variational ansatz. By minimizing the energy, we derive a gap equation which reproduces and extends known results. We show that a full treatment of the exchange term, which includes the renormalization of the Fermi velocity, tends to suppress the phase transition by increasing the critical coupling at which the excitonic instability takes place.

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