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arXiv 1802.09414cond-mat.mes-hallcond-mat.stat-mechquant-ph
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中心自旋模型中的核自旋噪声

Nuclear Spin Noise in the Central Spin Model

Nina Fröhling, Frithjof B. Anders, Mikhail Glazov

摘要:

我们从理论上研究了量子点中原子核的自旋涨落。我们采用中心自旋模型,该模型考虑了原子核与电子自旋的超精细相互作用。我们提出了一个分析解决方案的框架下,所有的超精细耦合常数被假定为相等的箱模型近似。这些结果与数值模拟结果吻合较好。结果表明,在较高的磁场下,核自旋噪声谱具有以核塞曼频率为中心的双峰结构,谱的形状受超精细常数分布的控制.

英文摘要:

We study theoretically the spin fluctuations of nuclei in quantum dots. We employ the central spin model which accounts for the hyperfine interaction of the nuclei with the electron spin. We present an analytical solution in the frame of the box model approximation where all hyperfine coupling constants are assumed to be equal. These results are in good agreement with numerical simulations. We demonstrate that in rather high magnetic field the nuclear spin noise spectra has a two-peak structure centered at the nuclear Zeeman frequency with the shape of the spectrum controlled by the distribution of the hyperfine constants.

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