Possible lattice distortions in the Hubbard model for graphene

Rupert L. Frank, Elliott H. Lieb

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


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 6 atoms per unit cell as compared to two atoms for the undistorted lattice.

Original languageEnglish (US)
Article number066801
JournalPhysical review letters
Issue number6
StatePublished - Aug 1 2011

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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