论文标题

Hofstadter子带铁磁性和对称性破碎的Chern绝缘子在扭曲的双层石墨烯中

Hofstadter subband ferromagnetism and symmetry broken Chern insulators in twisted bilayer graphene

论文作者

Saito, Yu, Ge, Jingyuan, Rademaker, Louk, Watanabe, Kenji, Taniguchi, Takashi, Abanin, Dmitry A., Young, Andrea F.

论文摘要

在双层石墨烯中,旋转断层到theta = 1.1度,层间隧道和旋转未对准共同创建了一对低能扁平带,这些低能扁平带被发现在部分填充时构成了各种相关现象。迄今为止,大多数工作都集中在零磁场相图上,磁场(b)用作B = 0频带结构的探针。在这里,我们表明,在A B中低至2T中的双层双层石墨烯(TBLG)托管了一系列具有Chern数量的铁磁磁芯Chern绝缘子| C | = 1,2和3。我们认为,Che​​rn绝缘子的出现是由与Moire Supersolion的Buntrount the Deardruction the Dearntrival and Intructiral the Dearntrival the Dearntry the Exproline the Exproline the Overtrimation the Overtrand the Overtrimant the Overtrand of Extrand the Overtrand the Overtrand of Dearnter的驱动的。霍夫史塔特蝴蝶。新阶段可以在石膏图片中解释,其中交换相互作用有利于极化为一个或多个旋转和山谷 - 伊斯波丁的风味。然而,与常规量子霍尔铁磁体相比,电子将单个hofstadter子带(Chern Number c = -1)偏振一到四个副本。特别是在C = \ pm3绝缘子的情况下,B催化了从自旋和山谷 - 无极化的B = 0状态到铁磁状态的一阶相变。 TBLG与其他Moire异质结构不同,意识到Hofstadter问题的强晶格极限,并托管了与完整带宽W相当的库仑相互作用,因此比单个Hofstadter子带的宽度要强得多。在我们的实验数据中,库仑相互作用的优势通过Chern绝缘状态的出现在C = -2子带的一半填充时自发损坏的超晶格对称性。我们的实验表明,TBLG可能是探索部分填充的霍夫史塔特频段内强相互作用极限的理想场所。

In bilayer graphene rotationally faulted to theta=1.1 degrees, interlayer tunneling and rotational misalignment conspire to create a pair of low energy flat band that have been found to host various correlated phenomena at partial filling. Most work to date has focused on the zero magnetic field phase diagram, with magnetic field (B) used as a probe of the B=0 band structure. Here, we show that twisted bilayer graphene (tBLG) in a B as low as 2T hosts a cascade of ferromagnetic Chern insulators with Chern number |C|=1,2 and 3. We argue that the emergence of the Chern insulators is driven by the interplay of the moire superlattice with the B, which endow the flat bands with a substructure of topologically nontrivial subbands characteristic of the Hofstadter butterfly. The new phases can be accounted for in a Stoner picture in which exchange interactions favor polarization into one or more spin- and valley-isospin flavors; in contrast to conventional quantum Hall ferromagnets, however, electrons polarize into between one and four copies of a single Hofstadter subband with Chern number C=-1. In the case of the C=\pm3 insulators in particular, B catalyzes a first order phase transition from the spin- and valley-unpolarized B=0 state into the ferromagnetic state. Distinct from other moire heterostructures, tBLG realizes the strong-lattice limit of the Hofstadter problem and hosts Coulomb interactions that are comparable to the full bandwidth W and are consequently much stronger than the width of the individual Hofstadter subbands. In our experimental data, the dominance of Coulomb interactions manifests through the appearance of Chern insulating states with spontaneously broken superlattice symmetry at half filling of a C=-2 subband. Our experiments show that that tBLG may be an ideal venue to explore the strong interaction limit within partially filled Hofstadter bands.

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