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arXiv 0810.0333cond-mat.mes-hall
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多体量子涨落对二维n型半导体量子点中矩阵Berry相的影响

Effect of many-body quantum fluctuations on matrix Berry phases of a two-dimensional n-type semiconductor quantum dot

S. C. Kim, Y. J. Kim, P. S. Park, N. Y. Hwang, S. -R. Eric Yang

摘要:

在自旋轨道耦合和横向约束势的反转对称性的存在下,准二维半导体量子点中的单个电子不呈现矩阵Berry相。在这样的系统中,我们调查是否多体相关效应可以导致有限矩阵Berry相位。我们发现,二维反演操作下的多电子波函数的变换性质不允许有限矩阵Berry相位。这种效应是精确的,并且与电子-电子相互作用的形式无关。另一方面,具有侧向限制势且不具有反转对称性的准二维半导体量子点可以具有有限的矩阵Berry相。我们发现,多体量子涨落可以改变矩阵Berry相位显着在这样的系统。

英文摘要:

In the presence of spin-orbit coupling and inversion symmetry of the lateral confinement potential a single electron does not exhibit matrix Berry phases in quasi-two-dimensional semiconductor quantum dots. In such a system we investigate whether many-body correlation effects can lead to finite matrix Berry phases. We find that the transformation properties of many-electron wavefunctions under two-dimensional inversion operation do not allow finite matrix Berry phases. This effect is exact and is independent of the form of electron-electron interactions. On the other hand, quasi-two-dimensional semiconductor quantum dots with lateral confinement potential without inversion symmetry can have finite matrix Berry phases. We find that many-body quantum fluctuations can change matrix Berry phases significantly in such systems.

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