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arXiv 0706.3733cond-mat.mes-hall
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石墨烯中晶格尺度物理与量子霍尔效应的相互作用

Interplay between lattice-scale physics and the quantum Hall effect in graphene

Jason Alicea, Matthew P. A. Fisher

摘要:

石墨烯的蜂窝状晶格结构是这种材料固有的许多非凡物理学的基础,最引人注目的是每个自旋都形成了两种“风味”的狄拉克锥。在量子霍尔制度,由此产生的味道自由度导致一个有趣的问题时,朗道能级被部分占用。也就是说,虽然塞曼分裂明显有利于沿着场的极化自旋,但每种味道的状态是如何被占据的,这可能会变得非常微妙。在这里,我们专注于清洁石墨烯片在量子霍尔铁磁性的制度,并讨论如何微妙的晶格尺度的物理,无论是从相互作用或无序,解决这种模糊性可测量的后果。有趣的是,这种晶格尺度的物理学倾向于微观的破坏有序性,与通常的长尺度上出现的类液体量子霍尔物理学共存。根据我们的讨论,对目前的实验情况作了简要的回顾。

英文摘要:

Graphene's honeycomb lattice structure underlies much of the remarkable physics inherent in this material, most strikingly through the formation of two ``flavors'' of Dirac cones for each spin. In the quantum Hall regime, the resulting flavor degree of freedom leads to an interesting problem when a Landau level is partially occupied. Namely, while Zeeman splitting clearly favors polarizing spins along the field, precisely how the states for each flavor are occupied can become quite delicate. Here we focus on clean graphene sheets in the regime of quantum Hall ferromagnetism, and discuss how subtler lattice-scale physics, arising either from interactions or disorder, resolves this ambiguity to measurable consequence. Interestingly, such lattice-scale physics favors microscopic symmetry-breaking order coexisting with the usual liquid-like quantum Hall physics emerging on long length scales. The current experimental situation is briefly reviewed in light of our discussion.

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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