Relaxation of quantum dots in a magnetic field at finite bias – Charge, spin, and heat currents

Relaxation of quantum dots in a magnetic field at finite bias – Charge, spin, and heat currents
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量子点在有限偏置磁场中的弛豫 â 电荷、自旋和热流

DOI:
10.1002/pssb.201600614
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发表时间:
2017
期刊:
physica status solidi (b)
影响因子:
--
通讯作者:
Wegewijs
Wegewijs
中科院分区:
--
文献类型:
--
作者:
Vanherck;Schulenborg;Saptsov;Splettstoesser;Wegewijs

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我们通过应用最近发现的一般二象性,详细研究了有限偏置和磁场对隧穿诱导量子点状态衰减的影响。[j].中国生物医学工程学报,2016(5)。这种对偶性为具有强库仑相互作用的电子开放量子系统的衰变动力学提供了深刻的物理见解。它将实际系统的衰减本征模的振幅与具有吸引相互作用的所谓对偶系统的本征模联系起来。因此,它预测了瞬态输运及其对实验控制参数的依赖中的许多令人惊讶的特征:双模型的吸引相互作用在通过实际排斥系统的可测量的时间相关电流的振幅中表现为明显的特征。特别是,对于相互作用的量子点,与时间相关的热流表现出一种衰减模式,这种模式耗散了相互作用的能量,并且与系统的费米子宇称有关。我们表明,它的衰减幅度具有意想不到的门电压依赖性,在相当大的偏置电压下具有鲁棒性,然后分叉,反映了在双系统中库仑封锁被解除。此外,结合我们的对偶关系和已知的Iche -对偶关系,我们得到了衰减率作为磁场和栅极电压函数的新的对称性。最后,我们使用单一混合参数量化了磁场引起的电荷模式和自旋模式混合。
We perform a detailed study of the effect of finite bias and magnetic field on the tunneling‐induced decay of the state of a quantum dot by applying a recently discovered general duality [Phys. Rev. B93, 81411 (2016)]. This duality provides deep physical insight into the decay dynamics of electronic open quantum systems with strong Coulomb interaction. It associates the amplitudes of decay eigenmodes of the actual system to the eigenmodes of a so‐called dual system withattractiveinteraction. Thereby, it predicts many surprising features in the transient transport and its dependence on experimental control parameters: the attractive interaction of the dual model shows up as sharp features in the amplitudes of measurable time‐dependent currents through the actual repulsive system. In particular, for interacting quantum dots, the time‐dependent heat current exhibits a decay mode that dissipates the interaction energy and that is tied to the fermion parity of the system. We show that its decay amplitude has an unexpected gate‐voltage dependence that is robust up to sizable bias voltages and then bifurcates, reflecting that the Coulomb blockade is lifted in the dual system. Furthermore, combining our duality relation with the known Iche‐duality, we derive new symmetry properties of the decay rates as a function of magnetic field and gate voltage. Finally, we quantify charge‐ and spin‐mode mixing due to the magnetic field using a single mixing parameter.
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