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理想Chern带中的复合费米子

Composite fermions in ideal Chern bands

Songyang Pu, Liangtao Peng, Shaffique Adam

arXiv 2610.01217首次发表:更新:

发表机构

Washington University in St. Louis(圣路易斯华盛顿大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本研究将复合费米子框架扩展到理想Chern带,构造Jain态波函数,发现其与精确本征态高度重叠,并揭示准粒子带Berry通量异于朗道能级,为分数量子Chern绝缘体任意子提供新描述。

AI 中文摘要

复合费米子框架将强关联的分数量子霍尔态映射为在减弱有效磁场中的弱相互作用整数量子霍尔态。我们探讨该框架如何被修正以适用于分数量子Chern绝缘体,其中均匀磁场的作用被Chern带的非均匀Berry曲率所取代。具体而言,我们在Aharonov-Casher带(理想Chern带的广泛使用模型)中为Jain态及其准粒子和准空穴构造了复合费米子波函数。我们发现这些态在广泛的场调制范围内与精确本征态高度重叠。利用这些波函数,我们证明了涌现的复合费米子带结构超越了传统有效朗道能级的图像,正确捕捉了准粒子色散。值得注意的是,我们发现孤立的准粒子带携带的总Berry通量不同于朗道能级。这些结果建立了移动分数量子Chern绝缘体任意子的复合费米子描述,并为其稳定性理解提供了框架。

英文摘要

The composite-fermion framework maps the strongly correlated fractional quantum Hall state onto a weakly interacting integer quantum Hall state in a reduced effective magnetic field. We ask how this framework is modified for fractional Chern insulators, where the role of a uniform magnetic field is replaced by the nonuniform Berry curvature of a Chern band. Specifically, we construct composite-fermion wave functions for Jain states and their quasiparticles and quasiholes in Aharonov-Casher bands, a widely used model for ideal Chern bands. We find that these states overlap closely with exact eigenstates over a broad range of field modulation. Using these wave functions, we demonstrate that the emergent composite-fermion band structure goes beyond the conventional picture of effective Landau levels, correctly capturing the quasiparticle dispersion. Remarkably, we find that an isolated quasiparticle band carries a total Berry flux that is different from a Landau level. These results establish a composite-fermion description for mobile fractional Chern insulator anyons and provide a framework to understand their stability.

论文原文

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