Xin-Zhong Yan, C. S. Ting
On a lattice model, we study the possibility of existence of broken inversion symmetry state (BISS) of electrons with long-range Coulomb interaction in bilayer graphene using both mean-field theory (MFT) and the renormalized-ring-diagram approximation (RRDA). RRDA takes into account the charge-density fluctuations beyond the mean field. While BISS at low temperature and low carrier concentration is predicted by MFT, we show here the state can be destroyed by the charge-density fluctuations. We also present a numerical algorithm for calculating the self-energy of electrons with the singular long-range Coulomb interaction on the lattice model.
View original:
http://arxiv.org/abs/1204.1101
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