Emergence of liquid crystalline order in the lowest Landau level of a quantum Hall system with internal anisotropy
Emergence of liquid crystalline order in the lowest Landau level of a quantum Hall system with internal anisotropy
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DOI：
10.1063/1.5004988
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发表时间：
2018-05
期刊：
影响因子：
1.6
通讯作者：
O. Ciftja
中科院分区：
文献类型：
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作者：
O. Ciftja
现在已经很明显的是，内部各向异性参数（例如电子质量各向异性和/或电子与基底的各向异性耦合）和电子-电子相关效应之间的相互作用可以创造丰富的可能性，特别是在量子霍尔系统中。电子质量各向异性或材料衬底效应（例如，GaAs 中的压电效应）可以导致电子之间产生有效的各向异性相互作用势。由于缺乏可以描述此类效应的实际从头计算势的知识，我们采用现象学方法并假设各向异性库仑相互作用势模拟系统的内部各向异性。在这项工作中，我们研究了最低朗道能级的填充因子 ν = 1/6 时液晶有序的出现，这种状态非常接近从液体到维格纳固体的转变点。我们考虑电子与各向异性库仑积分相互作用的小型有限系统......
It has now become evident that interplay between internal anisotropy parameters (such as electron mass anisotropy and/or anisotropic coupling of electrons to the substrate) and electron-electron correlation effects can create a rich variety of possibilities especially in quantum Hall systems. The electron mass anisotropy or material substrate effects (for example, the piezoelectric effect in GaAs) can lead to an effective anisotropic interaction potential between electrons. For lack of knowledge of realistic ab-initio potentials that may describe such effects, we adopt a phenomenological approach and assume that an anisotropic Coulomb interaction potential mimics the internal anisotropy of the system. In this work we investigate the emergence of liquid crystalline order at filling factor ν = 1/6 of the lowest Landau level, a state very close to the point where a transition from the liquid to the Wigner solid happens. We consider small finite systems of electrons interacting with an anisotropic Coulomb int...