Tunable magnetic order in bilayer graphene

Layered antiferromagnetic spin density wave (LAF) state is one of the plausible ground state of charge neutral Bernal stacked bilayer graphene. Additionally, bilayer system offers a freedom of inducing a shift in the electrochemical potential to two graphene layers, which is proposed to induce half-metallicity into the system. In this talk, we will report the theoretical results on the effect of the electric field on the magnetic order in bilayer grapheme by using mean-field theory and determinant quantum Monte Carlo method. In neutral bilayer graphene, the ground state has layered antiferromagnetism at~weak electric field and undergoes a quantum phase transition to a charge order or possibly different type magnetic ordered states at a high electric field.