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Conductance anomaly near the Lifshitz transition in strained bilayer graphene

机译：应变双层石墨烯中Lifshitz跃迁附近的电导异常

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摘要

Strain qualitatively changes the low-energy band structure of bilayer graphene, leading to the appearance of a pair of low-energy Dirac cones near each corner of the Brillouin zone, and a Lifshitz transition (a saddle point in the dispersion relation) at an energy proportional to the strain [Mucha-Kruczynski, Aleiner, and Fal'ko, Phys. Rev. B 84, 041404 (2011)]. Here, we show that in the vicinity of the Lifshitz transition, the conductance of a ballistic n-p and n-p-n junction exhibits an anomaly: a nonmonotonic temperature and chemical potential dependence, with the size depending on the crystallographic orientation of the principal axis of the strain tensor. This effect is characteristic for junctions between regions of different polarity (n-p and n-p-n junctions), while there is no anomaly in junctions between regions of the same polarity (n-n' and n-n'-n junctions).
机译：应变定性地改变了双层石墨烯的低能带结构，导致在布里渊区的每个角附近出现了一对低能狄拉克锥，并且在能量处出现了李夫谢兹跃迁（色散关系中的鞍点）。与应变成比例[Mucha-Kruczynski，Aleiner和Fal'ko，Phys。 Rev.B 84，041404（2011）]。在这里，我们表明在Lifshitz跃迁附近，弹道np和npn结的电导表现出异常：非单调温度和化学势依赖性，其大小取决于应变张量主轴的晶体学取向。对于不同极性区域（n-p和n-p-n结）之间的结点，这种影响是特征性的，而在相同极性区域（n-n'和n-n'-n结点）之间的结点中没有异常。

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