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Possible Lattice Distortions in the Hubbard Model for Graphene

Frank, Rupert L. and Lieb, Elliott H. (2011) Possible Lattice Distortions in the Hubbard Model for Graphene. . (Submitted)

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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.

Item Type:Report or Paper (Discussion Paper)
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Additional Information:© 2011 by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes. (Submitted on 3 May 2011) We are indebted to G. Dunne, D. Abanin and A. Giuliani for illuminating discussions and G. Holzegel for technical help. A grant from the U.S. National Science Foundation is acknowledged: PHY-0965859 (E.L.).
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Classification Code:PACS numbers: 71.10.Fd, 61.48.Gh, 73.22.Pr, 05.30.Fk
Record Number:CaltechAUTHORS:20170501-082647988
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77089
Deposited By: Ruth Sustaita
Deposited On:01 May 2017 16:30
Last Modified:03 Oct 2019 17:53

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