自相似石墨烯地毯中的普适量子输运和杂质带超金属性
Universal quantum transport and impurity band super metallicity in self-similar graphene carpets
摘要:
分形,一个迷人的数学概念在八十年代流行,几十年来仍然是一个美丽的科学好奇心主要。随着纳米光刻技术的发展,设计具有纳米级精细结构的自相似材料已经成为可能。在这里,我们研究了自相似性对石墨烯Sierpinski地毯中量子电子输运的影响。我们发现在电子谱中出现了一个能隙,在能隙的中间是一个由零能模组成的平带。虽然这些状态有一个零速度,超金属相被发现在中性点。对于费米能量位于价带/导带,并在一个小的非弹性散射的存在下,系统保持金属和运输被发现强烈的各向异性。
英文摘要:
Fractals, a fascinating mathematical concept made popular in the eighties, remained for decades a beautiful scientific curiosity mainly. With the tremendous advances in nanofabrication techniques, such as nanolithography, it has become possible to design self-similar materials with fine structures down to nanometer scale. Here, we investigate the effects of self similarity on quantum electronic transport in graphene Sierpinski carpets. We find that a gap opens up in the electron spectrum in the middle of which lies a flat band of zeros energy modes. Although these states have a zero velocity, a supermetallic phase is found at the neutrality point. For Fermi energy located in the valence/conduction band and in the presence of a small inelastic scattering the system stays metallic and the transport is found strongly anisotropic.
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