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arXiv 2205.03421cond-mat.mes-hallcond-mat.str-el
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半导体系统中的分数量子霍尔效应

Fractional quantum Hall effect in semiconductor systems

Zlatko Papić, Ajit C. Balram

摘要:

分数量子霍尔(Fractional quantum Hall,简称FQH)效应是指在垂直磁场中的二维电子气体中所产生的强关联现象和相关的物质量子相。在这样的系统中,拓扑学和量子力学合谋产生了奇异的物理学,通过霍尔电阻的鲁棒量子化来表现。在这一章中,我们提供了一个概述的实验现象学的GaAs基半导体材料中的BARH效应,并提出其理论解释的审判波函数,复合费米子准粒子,和神秘的非阿贝尔状态。我们还强调了一些最近的发展,包括部分子理论和狄拉克复合费米子场论的量子氢状态,各向异性和几何自由度的作用,和量子纠缠在量子氢流体。

英文摘要:

The fractional quantum Hall (FQH) effect refers to the strongly-correlated phenomena and the associated quantum phases of matter realized in a two-dimensional gas of electrons placed in a large perpendicular magnetic field. In such systems, topology and quantum mechanics conspire to give rise to exotic physics that manifests via robust quantization of the Hall resistance. In this chapter, we provide an overview of the experimental phenomenology of the FQH effect in GaAs-based semiconductor materials and present its theoretical interpretations in terms of trial wave functions, composite fermion quasiparticles, and enigmatic non-Abelian states. We also highlight some recent developments, including the parton theory and the Dirac composite fermion field theory of FQH states, the role of anisotropy and geometrical degrees of freedom, and quantum entanglement in FQH fluids.

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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