论文标题

风味Hund的耦合,相关的Chern Gaps和Moiré平面乐队的扩散率

Flavour Hund's Coupling, Correlated Chern Gaps, and Diffusivity in Moiré Flat Bands

论文作者

Park, Jeong Min, Cao, Yuan, Watanabe, Kenji, Taniguchi, Takashi, Jarillo-Herrero, Pablo

论文摘要

相互作用驱动的自发对称性破裂位于物质的许多量子阶段的核心。在Moiré系统中,平面带中的旋转/山谷“风味”对称性是父母状态的基础,这些状态最终与之相关,拓扑基础状态出现。然而,这种风味对称性破坏的微观机制及其与低温多体相的联系尚待理解。在这里,我们使用同时​​的热力学和传输测量值研究了对称性破裂的多体型基底状态及其非平凡拓扑。我们直接观察到风味对称性破裂是Moiré超级晶格的所有整数填充物的化学势$μ$的固定,这突出了风味Hund的耦合在多体基础状态下的重要性。在打破时间反向对称性的情况下,基础扁平乐队的拓扑性质表现出来,在那里我们测量与Chern绝缘体相对应的能量差距,分别在填充因子上$ C = 3,2,1 $ $ν= 1,2,3 $,一致,与Hofstadter's Butterfly butterfly butterfly flyfly fly Flyfly spectrum of Matbg的风味破坏。此外,我们对电阻率和化学电位的同时测量使我们能够获得MATBG在奇怪的金属状态中电荷扩散率的温度依赖性,这是以前仅在超电原子系统中探索的数量。我们的结果使我们更接近一个统一的框架,以理解MATBG拓扑带的相互作用,无论是在存在和没有磁场的情况下。

Interaction-driven spontaneous symmetry breaking lies at the heart of many quantum phases of matter. In moiré systems, broken spin/valley 'flavour' symmetry in flat bands underlies the parent state out of which ultimately correlated and topological ground states emerge. However, the microscopic mechanism of such flavour symmetry breaking and its connection to the low-temperature many-body phases remain to be understood. Here, we investigate the symmetry-broken many-body ground state of magic angle twisted bilayer graphene (MATBG) and its nontrivial topology using simultaneous thermodynamic and transport measurements. We directly observe flavour symmetry breaking as a pinning of the chemical potential $μ$ at all integer fillings of the moiré superlattice, highlighting the importance of flavour Hund's coupling in the many-body ground state. The topological nature of the underlying flat bands is manifested upon breaking time-reversal symmetry, where we measure energy gaps corresponding to Chern insulator states with Chern numbers $C=3,2,1$ at filling factors $ν=1,2,3$, respectively, consistent with flavour symmetry breaking in the Hofstadter's butterfly spectrum of MATBG. Moreover, our concurrent measurements of resistivity and chemical potential allow us to obtain the temperature dependence of the charge diffusivity of MATBG in the strange metal regime, a quantity previously explored only in ultracold atom systems. Our results bring us one step closer to a unified framework for understanding interactions in the topological bands of MATBG, both in the presence and absence of a magnetic field.

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