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arXiv 1106.0083cond-mat.mes-hall
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连续介质模型下单层石墨烯的能隙开放

Gap opening of single-layer graphene under the continuum model

Xin Lin, Hailong Wang, Hui Pan, Huaizhe Xu

摘要:

在连续介质模型下,研究了具有周期性标量势和矢量势的单层石墨烯在狄拉克点处的能隙开放。对称性分析表明,当势同时破缺手征对称性和时间反演对称性时,狄拉克点处的二重简并可以被解除。用微扰理论解析地得到了狄拉克点处的能隙方程。结果表明,在狄拉克点的质量项将产生耦合的矢量和标量势。该能隙方程可作为狄拉克点处能隙开放的判据,数值计算证实了这一点。此外,当外加电势较弱时,由带隙方程得到的带隙与精确结果吻合较好。

英文摘要:

Gap opening at the Dirac point of the single-layer graphene with periodic scalar and vector potentials has been theoretically investigated under the continuum model. The symmetry analysis indicates that the two-fold degeneracy at the Dirac point can be lifted when the potentials break both the chiral symmetry and the time-reversal symmetry. A gap equation at the Dirac point is obtained analytically with perturbation theory. It is shown that a mass term at the Dirac point would be generated by coupling of vector and scalar potentials. This gap equation could be considered as a criterion for gap opening at the Dirac point, which is confirmed by the numerical calculation. Furthermore, the bandgap from the gap equation agrees well with the exact result, when the applied potentials are weak.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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