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arXiv 1604.03481cond-mat.mes-hall
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半导体球形量子点的磁光吸收:量子点尺寸、限制势和磁场的影响

Magneto-optical absorption in semiconducting spherical quantum dots: Influence of the dot-size, confining potential, and magnetic field

Manvir S. Kushwaha

摘要:

在这里,我们开始深入研究半导体{ \em球形}量子点的磁光吸收的限制谐波势和施加的磁场在对称规范的特点。这是在Bohm-Pines的随机相位近似的框架内完成的,该框架使我们能够导出并讨论充分考虑库仑相互作用的戴森方程。作为我们的理论策略的应用,我们计算各种单粒子和多粒子的现象,如Fock-Darwin光谱,费米能量,磁光跃迁,概率分布,和量子点中的磁光吸收。据观察,施加的磁场对吸收光谱的作用是可比的限制潜力。增加(降低)磁场或限制势的强度被发现类似于缩小(扩大)量子点的尺寸:导致吸收光谱的蓝(红)移。费米能量随着磁场和点尺寸的增加而减小,并且在较大的场或点尺寸值下呈现锯齿状振荡。与横向受限的量子点不同,即使在极端情况下,(上和下)磁光跃迁也会存在。然而,内朗道能级跃迁被认为是禁止的。球形量子点比严格的二维量子点有优势,因为额外的(磁性)量子数使物理学更丰富(但更复杂)。对库仑阻塞、量子相干性和纠缠的更深入理解可以使我们更好地了解激光器、探测器、存储设备和量子计算等有前途的应用。

英文摘要:

Here we embark on a thorough investigation of the magneto-optical absorption in semiconducting {\em spherical} quantum dots characterized by a confining harmonic potential and an applied magnetic field in the symmetric gauge. This is done within the framework of Bohm-Pines' random-phase approximation that enables us to derive and discuss the full Dyson equation that takes proper account of the Coulomb interactions. As an application of our theoretical strategy, we compute various single-particle and many-particle phenomena such as the Fock-Darwin spectrum; Fermi energy; magneto-optical transitions; probability distribution; and the magneto-optical absorption in the quantum dots. It is observed that the role of an applied magnetic field on the absorption spectrum is comparable to that of a confining potential. Increasing (decreasing) the strength of the magnetic field or the confining potential is found to be analogous to shrinking (expanding) the size of the quantum dots: resulting into a blue (red) shift in the absorption spectrum. The Fermi energy diminishes with both increasing magnetic-field and dot-size; and exhibits saw-tooth-like oscillations at large values of field or dot-size. Unlike laterally confined quantum dots, both (upper and lower) magneto-optical transitions survive even in the extreme instances. However, the intra-Landau level transitions are seen to be forbidden. The spherical quantum dots have an edge over the strictly two-dimensional quantum dots in that the additional (magnetic) quantum number makes the physics richer (but complex). A deeper grasp of the Coulomb blockade, quantum coherence, and entanglement can lead to a better insight into promising applications involving lasers, detectors, storage devices, and quantum computing.

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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