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arXiv · 1412.1359

Monte-Carlo study of the phase transition in the AA-stacked bilayer graphene

A. A. Nikolaev·M. V. Ulybyshev
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Abstract

Tight-binding model of the AA-stacked bilayer graphene with screened electron-electron interactions has been studied using the Hybrid Monte Carlo simulations on the original double-layer hexagonal lattice. Instantaneous screened Coulomb potential is taken into account using Hubbard-Stratonovich transformation. G-type antiferromagnetic ordering has been studied and the phase transition with spontaneous generation of the mass gap has been observed. Dependence of the antiferromagnetic condensate on the on-site electron-electron interaction is examined.

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A. A. Nikolaev, M. V. Ulybyshev. 2014-12-04. Monte-Carlo study of the phase transition in the AA-stacked bilayer graphene. https://arxiv.org/abs/1412.1359

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