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

Abstract

It is shown that the semimetallic state of the two-dimensional honeycomb lattice with a point-like Fermi surface is unstable towards 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 $12\times 12$ unit cells.

arXiv comment7 pages, 8 figures

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• Impurity-induced magnetic moments on the graphene-lattice Hubbard model: an inhomogeneous cluster DMFT study
• Excitonic and Nematic Instabilities on the Surface of Topological Kondo Insulators
• Realizing a tunable honeycomb lattice in ABBA-stacked twisted double bilayer WSe${}_2$
• Inducing a metal-insulator transition in disordered interacting Dirac fermion systems via an external magnetic field
• The ALF (Algorithms for Lattice Fermions) project release 2.4. Documentation for the auxiliary-field quantum Monte Carlo code
• Magnetic phase transition in disordered interacting Dirac fermion systems via the Zeeman field
• Zeeman field induced corner states in the Kane-Mele-Hubbard model
• Universal collective Larmor-Silin mode emerging in magnetized correlated Dirac fermions