Spontaneous mass gap generation in monolayer graphene with strong coupling expansion of square/honeycomb lattice gauge theory

Spontaneous mass gap generation in monolayer graphene with strong coupling expansion of square/honeycomb lattice gauge theory
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方形/蜂窝晶格规范理论强耦合展开单层石墨烯自发质量隙产生

DOI:
10.1088/1742-6596/302/1/012022
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发表时间:
2011
期刊:
Journal of Physics : Conference Series
影响因子:
--
通讯作者:
Yasufumi Araki
Yasufumi Araki
中科院分区:
--
文献类型:
--
作者:
菱川和宏、中川秀彦;他6名;Y. Araki and G. W. Semenoff;荒木康史;Yasufumi Araki;Yasufumi Araki

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单层石墨烯蜂窝晶格的亚晶格对称性可以扩展到连续极限中狄拉克费米子的连续手性对称性,但由于真空悬浮石墨烯上电子之间的有效强库仑相互作用,可能会自发破缺。我们通过晶格规范理论的强耦合展开来分析这一机制,该理论是用原始的蜂窝晶格结构构建的。显示了强耦合极限下自发亚晶格对称性破缺,并与方晶格公式得到的结果进行了定性和定量比较。我们还在外部引入了蜂窝晶格的凯库勒畸变,并展示了在有限畸变幅度下亚晶格对称性的恢复。
Sublattice symmetry of the honeycomb lattice of monolayer graphene, which can be extended to a continuous chiral symmetry of Dirac fermions in the continuum limit, may be spontaneously broken due to effectively strong Coulomb interaction between electrons on the vacuum-suspended graphene. We analyze this mechanism by strong coupling expansion of lattice gauge theory, which is constructed with the original honeycomb lattice structure. Spontaneous sublattice symmetry breaking in the strong coupling limit is shown, and is compared with the result obtained from the square lattice formulation qualitatively and quantitatively. We also introduce the Kekulé distortion of the honeycomb lattice externally, and show a restoration of the sublattice symmetry at finite distortion amplitude.
石墨烯晶格规范理论模型
DOI: 10.1103/physrevb.82.121418
发表时间: 2010
期刊: Physical Review B
影响因子: 3.7
作者:
A. Giuliani;V. Mastropietro;M. Porta
通讯作者: M. Porta
石墨烯的手性对称性与强耦合晶格规范理论
DOI: --
发表时间: 2010
影响因子: --
作者:
Yasufumi Araki;Tetsuo Hatsuda
通讯作者: Tetsuo Hatsuda