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arXiv 1607.01640cond-mat.mes-hall
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有机半导体中核自旋和自旋弛豫的量子动力学

Quantum dynamics of nuclear spins and spin relaxation in organic semiconductors

V. V. Mkhitaryan, V. V. Dobrovitski

摘要:

本文研究了有机半导体中超精细诱导的跳跃载流子自旋弛豫过程中核自旋量子动力学的作用。在跳跃之间的等待时间期间具有小载流子自旋进动的快速跳跃状态对于具有长自旋相干时间的有机半导体是典型的。我们认为这种制度,并专注于在一维载流子随机游走扩散,其中的核自旋动力学的影响预计是最强的。利用演化算符的Suzuki-Trotter分解方法,对核自旋数不超过25的自旋系统进行了精确的数值模拟。利用自旋相干态$P$表示方法,更大的核自旋系统建模。我们发现核自旋动力学在长时间内强烈影响载流子自旋弛豫。如果随机游走被限制在一个小的区域,它会导致长时间在非零值的载流子自旋极化猝灭。如果无规游走是不受限制的,则载流子自旋极化获得长时间拖尾,衰减为$ 1/\sqrt{t}$。根据数值结果,我们设计了一个简单的公式定量描述的效果。

英文摘要:

We investigate the role of the nuclear spin quantum dynamics in hyperfine-induced spin relaxation of hopping carriers in organic semiconductors. The fast hopping regime with a small carrier spin precession during a waiting time between hops is typical for organic semiconductors possessing long spin coherence times. We consider this regime and focus on a carrier random walk diffusion in one dimension, where the effect of the nuclear spin dynamics is expected to be the strongest. Exact numerical simulations of spin systems with up to 25 nuclear spins are performed using the Suzuki-Trotter decomposition of evolution operator. Larger nuclear spin systems are modeled utilizing the spin-coherent state $P$-representation approach developed earlier. We find that the nuclear spin dynamics strongly influences the carrier spin relaxation at long times. If the random walk is restricted to a small area, it leads to the quenching of carrier spin polarization at a non-zero value at long times. If the random walk is unrestricted, the carrier spin polarization acquires a long-time tail, decaying as $ 1/\sqrt{t}$. Based on the numerical results, we devise a simple formula describing the effect quantitatively.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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