Possible Lattice Distortions in the Hubbard Model for Graphene

被引：27
作者：
Frank, Rupert L. [1 ]
Lieb, Elliott H. [1 ,2 ]
机构：
[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA
[2] Princeton Univ, Dept Phys, Princeton, NJ 08542 USA
来源：
PHYSICAL REVIEW LETTERS | 2011年 / 107卷 / 06期
基金：
美国国家科学基金会;
关键词：
PHASE-TRANSITIONS; REFLECTION POSITIVITY; PEIERLS INSTABILITY; CARBON NANOTUBES; SPIN SYSTEMS; FLUX PHASE; RANGE; PROOF; BAND;
D O I：
10.1103/PhysRevLett.107.066801
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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