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arXiv 0910.3469cond-mat.mes-hallcond-mat.str-el
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双层石墨烯谷对称性破缺:对极小模型的检验

Valley symmetry breaking in bilayer graphene: a test to the minimal model

Masaaki Nakamura, Eduardo V. Castro, Balazs Dora

摘要:

讨论了在磁场作用下双层石墨烯中朗道能级谷不对称性的物理性质。在$4-$带连续模型中,考虑了Hartree修正的自洽带隙和有限的阻尼因子,我们预言了由于朗道能级的简并提升,量子化霍尔电导率中会出现反常台阶.此外,谷对称性破缺效应表现为非半经典的de Haas-van Alphen效应,其中振荡周期减半不能通过倒易空间中轨道的准经典量子化来解释,仍然是谷退化。

英文摘要:

Physical properties reflecting valley asymmetry of Landau levels in a biased bilayer graphene under magnetic field are discussed. Within the $4-$band continuum model with Hartree-corrected self-consistent gap and finite damping factor we predict the appearance of anomalous steps in quantized Hall conductivity due to the degeneracy lifting of Landau levels. Moreover, the valley symmetry breaking effect appears as a non-semiclassical de Haas-van Alphen effect where the reduction of the oscillation period to half cannot be accounted for through quasi-classical quantization of the orbits in reciprocal space, still valley degenerate.

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