Magnetic field induced semimetal-to-canted-antiferromagnet transition on the honeycomb lattice

M. Bercx, T. C. Lang, and F. F. Assaad
Phys. Rev. B 80, 045412 – Published 14 July 2009

Abstract

It is shown that the semimetallic state of the two-dimensional honeycomb lattice with a pointlike Fermi surface is unstable toward a canted antiferromagnetic insulator upon application of an in-plane magnetic field. This instability is already present at the mean-field level; the magnetic field shifts the up- and the down-spin cones in opposite directions thereby generating a finite density of states at the Fermi surface and a perfect nesting between the up- and the down-spin Fermi sheets. This perfect nesting triggers a canted antiferromagnetic insulating state. Our conclusions, based on mean-field arguments, are confirmed by auxiliary field projective quantum Monte Carlo methods on lattices up to 12×12unit cells.

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  • Received 3 April 2009

DOI:https://doi.org/10.1103/PhysRevB.80.045412

©2009 American Physical Society

Authors & Affiliations

M. Bercx, T. C. Lang, and F. F. Assaad

  • Institut für Theoretische Physik und Astrophysik, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany

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Issue

Vol. 80, Iss. 4 — 15 July 2009

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