半导体量子点中的竞争相互作用
Competing interactions in semiconductor quantum dots
摘要：
我们介绍了一种基于可积性的方法，使半导体量子点模型的研究，将充分的超精细相互作用，以及偶极-偶极相互作用的平均场处理在核自旋浴。通过进行自由感应衰减和自旋回波模拟，我们表征了这两种类型的相互作用对电子自旋退相干的综合效应，外部场范围从低到高的值。我们表明，自旋回波模拟的超精细相互作用是在短时间内低场退相干的主要来源，并在较长的时间与偶极-偶极相互作用的竞争。相反，在高磁场下，衰减的主要来源是由于偶极-偶极相互作用。在后一种情况下，观察到回波的不对称性。此外，非衰减部分先前观察到的零场自由感应衰减模拟量子点中只有超精细相互作用，被破坏的偶极相互作用的平均场处理的时间更长。
英文摘要：
We introduce an integrability-based method enabling the study of semiconductor quantum dot models incorporating both the full hyperfine interaction as well as a mean-field treatment of dipole-dipole interactions in the nuclear spin bath. By performing free induction decay and spin echo simulations we characterize the combined effect of both types of interactions on the decoherence of the electron spin, for external fields ranging from low to high values. We show that for spin echo simulations the hyperfine interaction is the dominant source of decoherence at short times for low fields, and competes with the dipole-dipole interactions at longer times. On the contrary, at high fields the main source of decay is due to the dipole-dipole interactions. In the latter regime an asymmetry in the echo is observed. Furthermore, the non-decaying fraction previously observed for zero field free induction decay simulations in quantum dots with only hyperfine interactions, is destroyed for longer times by the mean-field treatment of the dipolar interactions.
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