Correlated antiferromagnetic state in bilayer graphene

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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5 pages, 3 figs

Scientific paper

Motivated by the recent experiment of Ref. [1], we develop a mean-field theory of the correlated antiferromagnetic (AF) state in bilayer graphene at charge neutrality point at arbitrary magnetic field $B$. Under certain realistic assumptions about the microscopic details of interactions, the AF state persists at all $B$. At higher $B$, the state continuously crosses over to the AF phase of the $\nu=0$ quantum Hall ferromagnet, recently argued to be realized in the insulating $\nu=0$ state. The mean-field quasiparticle gap is finite at B=0 and grows with increasing $B$, becoming linear in the quantum Hall regime, in accord with the reported behavior of the transport gap. Our findings suggest that the insulating state observed in bilayer graphene in Ref. [1] is antiferromagnetic (canted, in the presence of the Zeeman effect) at all magnetic fields.

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