量子霍尔区朗道能级间磁等离子体激元激发的类俄歇弛豫
Auger-like Relaxation of Inter-Landau-Level Magneto-Plasmon Excitations in the Quantised Hall Regime
摘要:
二维强关联电子气体中的俄歇弛豫可以表示为中性磁等离子体激元激发的类俄歇过程。“介电”状态的情况下,缺乏自由电子(即在整数填充$ν$)被认为是。实际上,类俄歇过程是两个磁等离子体激元的合并,这两个磁等离子体激元被转换成具有零二维波矢的不同等离子体激元模式的单个磁等离子体激元。这一事件被证明是积极允许磁等离子体附近的旋转子最小的频谱具有无限的状态密度。因此,出现了通过反斯托克斯拉曼散射间接观察磁子的额外可能性。我们发现这个过程的速率采用激子表示相关的矩阵元素计算的技术。
英文摘要:
Auger relaxation in 2D strongly correlated electron gas can be represented as an Auger-like process for neutral magnetoplasmon excitations. The case of "dielectric" state with lack of free electrons (i.e. at integer filling $ν$) is considered. Really the Auger-like process is a coalescence of two magnetoplasmons which are converted into a single one of a different plasmon mode with zero 2D wave-vector. This event turns out to be energetically allowed for magnetoplasmons near their roton minima where the spectrum has the infinite density of states. As a result the additional possibility appears for indirect observation of the magnetorotons by means of anti-Stokes Raman scattering. We find the rate of this process employing the technique of Excitonic Representation for the relevant matrix element calculation.
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