石墨烯中的量子霍尔效应：泛函行列式方法
Quantum Hall effect in graphene: A functional determinant approach
摘要：
本文首先简要介绍了石墨烯的主要特征，以及在没有外场的情况下，作为相关的低动量有效理论获得的2+1维无质量费米子的狄拉克理论。然后，我们总结了在有限的温度和密度的有效理论中获得霍尔电导率所需的主要步骤，重点是其依赖于在评估有效作用期间选择的狄拉克行列式的相位。最后，我们讨论的行为，规范变换下，由于最低的朗道能级的贡献，并解释规范变换作为旋转的相应旋量周围的磁场。
英文摘要：
We start the paper with a brief presentation of the main characteristics of graphene, and of the Dirac theory of massless fermions in 2+1 dimensions obtained as the associated low-momentum effective theory, in the absence of external fields. We then summarize the main steps needed to obtain the Hall conductivity in the effective theory at finite temperature and density, with emphasis on its dependence on the phase of the Dirac determinant selected during the evaluation of the effective action. Finally, we discuss the behavior, under gauge transformations, of the contribution due to the lowest Landau level, and interpret gauge transformations as rotations of the corresponding spinors around the magnetic field.
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