Single electron quantum dot in a spatially periodic magnetic field
Single electron quantum dot in a spatially periodic magnetic field
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DOI：
10.1103/physrevb.73.235346
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发表时间：
2006-06
影响因子：
3.7
通讯作者：
D. Buchholz;P. Drouvelis;P. Schmelcher
中科院分区：
文献类型：
--
作者：
D. Buchholz;P. Drouvelis;P. Schmelcher
研究了空间周期磁场中的简谐单电子量子点。针对不同的参数（即，振幅、波长和相位）。对于波长可比的振荡器长度的点，我们观察到丰富的光谱行为。对于更高的场振幅和依赖于场的相位，避免和精确的能级交叉占主导地位的频谱和quasidegenerate低躺状态系统地发生。我们采用了一个简单的模型的quasidgeneracies和它们的概率和电流密度的影响的解释。后者对磁场的相位非常敏感。对于波长小于振子长度的情况，场的影响非常小，因此所获得的光谱近似于纯谐振子的光谱。对于大值的$k$的本征函数采取了空间变化的相位和幅度的概率电流随增加$k$缓慢下降。与均匀磁场中的点不同，磁化强度作为场幅度的函数，具有最小值，这取决于场的相位和波长。
A harmonic single electron quantum dot in a spatially periodic magnetic field is investigated. The energy spectrum, magnetization, probability, and current density are studied for varying parameters (i.e., amplitude, wavelength, and phase) of the periodic magnetic field. For wavelengths comparable to the oscillator length of the dot, we observe a rich spectral behavior. For higher field amplitudes and depending on the phase of the field, avoided and exact level crossings dominate the spectrum and quasidegenerate low lying states occur systematically. We employ a simple model for the interpretation of the quasidegeneracies and their impact on the probability and current densities. The latter are very sensitive with respect to the phase of the magnetic field. For wavelengths being small compared to the oscillator length, the impact of the field is very minor, thus the obtained spectrum is approximately that of a pure harmonic oscillator. For large values of $k$ the eigenfunctions take up a spatially varying phase and the magnitude of the probability current decreases slowly with increasing $k$. Different from the dot in a homogeneous magnetic field, the magnetization, as a function of the field amplitude, has a minimum, depending on the phase and wavelength of the field.