Possible Lattice Distortions in the Hubbard Model for Graphene

Details Possible Lattice Distortions in the Hubbard Model for Graphene Possible Lattice Distortions in the Hubbard Model for Graphene

2011-05-03

arxiv.org/abs/1105.0693v1

Phys. Rev. Lett. 107 (2011), 066801

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 3 figures

Scientific paper

The Hubbard model on the honeycomb lattice is a well known model for graphene. Equally well known is the Peierls type of instability of the lattice bond lengths. In the context of these two approximations we ask and answer the question of the possible lattice distortions for graphene in zero magnetic field. The answer is that in the thermodynamic limit only periodic, reflection-symmetric distortions are allowed and these have at most six atoms per unit cell as compared to two atoms for the undistorted lattice.

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