可压缩和不可压缩二维电子液体中的光激发
Optical excitations in compressible and incompressible two-dimensional electron liquids
摘要：
光学产生的电子-空穴对可以探测强相关的电子物质，或者通过在光学腔中形成激子-极化激元，产生光子非线性。本文从理论上研究了分数量子霍尔区二维电子液体中电子空穴对的性质。特别是，我们量化的光学激发之间的有效相互作用的数值评估系统的能谱下的假设，全自旋和朗道水平的偏振。光学上最活跃的是那些不改变电子液体的相关性的对激发，也称为倍增态。在电子和空穴空间分离的情况下，这些激发相互排斥。然而，当电子液体是可压缩的，其他非乘法配置发生在较低的能量。这种暗激发的相互作用强烈依赖于液体，也可以成为吸引力。对于单激发的情况，我们还研究了价带中朗道能级混合的效应，它可以显著地改变激子的有效质量。
英文摘要：
Optically generated electron-hole pairs can probe strongly correlated electronic matter, or, by forming exciton-polaritons within an optical cavity, give rise to photonic nonlinearities. The present paper theoretically studies the properties of electron-hole pairs in a two-dimensional electron liquid in the fractional quantum Hall regime. In particular, we quantify the effective interactions between optical excitations by numerically evaluating the system's energy spectrum under the assumption of full spin and Landau level polarization. Optically most active are those pair excitations which do not modify the correlations of the electron liquid, also known as multiplicative states. In the case of spatial separation of electrons and holes, these excitations interact repulsively with each other. However, when the electron liquid is compressible, other non-multiplicative configurations occur at lower energies. The interactions of such dark excitations strongly depend on the liquid, and can also become attractive. For the case of a single excitation, we also study the effect of Landau level mixing in the valence band which can dramatically change the effective mass of an exciton.
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