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arXiv 1302.0855cond-mat.mes-hallcond-mat.str-el
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多层石墨烯中具有局部Berry曲率的平坦带

Flat bands with local Berry curvature in multilayer graphene

Akshay Kumar, Rahul Nandkishore

摘要:

我们证明了具有局部Berry曲率的平坦带自然地出现在置于氮化硼(BN)衬底上的手性(ABC)多层石墨烯中。可以通过改变石墨烯层的数量N来调整平坦度。对于N = 7的频带变得几乎平坦,具有3.6 meV的小带宽。来自K谷和K'谷的两个几乎平坦的带沿还原区的线交叉。弱谷间隧穿带交叉变成避免交叉,产生两个几乎平坦的带与全球陈数为零,但与本地Berry曲率。带的平坦性表明许多体效应将主导物理学,而带的局部Berry曲率赋予系统非平凡的量子几何。量子几何效应通过量子距离(Fubini-Study)度量而不是更传统的陈数来表现自己。因此,BN上的多层石墨烯提供了一个平台,用于研究具有非平凡量子距离度量的系统中相互作用的影响,而没有非零陈数的复杂性。我们顺便指出,利用磁性吸附原子,并显式地破坏时间反演对称性,也可以实现非零Chern数的平坦带。

英文摘要:

We demonstrate that flat bands with local Berry curvature arise naturally in chiral (ABC) multilayer graphene placed on a boron nitride (BN) substrate. The degree of flatness can be tuned by varying the number of graphene layers N. For N = 7 the bands become nearly flat, with a small bandwidth of 3.6 meV. The two nearly flat bands coming from the K and K' valleys cross along lines in the reduced zone. Weak intervalley tunneling turns the bandcrossing into an avoided crossing, producing two nearly flat bands with global Chern number zero, but with local Berry curvature. The flatness of the bands suggests that many body effects will dominate the physics, while the local Berry curvature of the bands endows the system with a nontrivial quantum geometry. The quantum geometry effects manifest themselves through the quantum distance (Fubini-Study) metric, rather than the more conventional Chern number. Multilayer graphene on BN thus provides a platform for investigating the effect of interactions in a system with a non-trivial quantum distance metric, without the complication of non-zero Chern numbers. We note in passing that flat bands with non-zero Chern number can also be realized by making use of magnetic adatoms, and explicitly breaking time reversal symmetry.

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