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首页> 外文期刊>Physical review >Hyperfine-induced spin relaxation of a diffusively moving carrier in low dimensions: Implications for spin transport in organic semiconductors
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Hyperfine-induced spin relaxation of a diffusively moving carrier in low dimensions: Implications for spin transport in organic semiconductors

机译：超细致的低尺寸扩散运动载流子的自旋弛豫：对有机半导体中自旋输运的影响

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The hyperfine coupling between the spin of a charge carrier and the nuclear spin bath is a predominant channel for the carrier spin relaxation in many organic semiconductors. We theoretically investigate the hyperfine-induced spin relaxation of a carrier performing a random walk on a d-dimensional regular lattice, in a transport regime typical for organic semiconductors. We show that in d = 1 and 2, the time dependence of the space-integrated spin polarization P(t) is dominated by a superexponential decay, crossing over to a stretched-exponential tail at long times. The faster decay is attributed to multiple self-intersections (returns) of the random-walk trajectories, which occur more often in lower dimensions. We also show, analytically and numerically, that the returns lead to sensitivity of P(t) to external electric and magnetic fields, and this sensitivity strongly depends on dimensionality of the system (d = 1 versus d = 3). Furthermore, we investigate in detail the coordinate dependence of the time-integrated spin polarization σ(r), which can be probed in the spin-transport experiments with spin-polarized electrodes. We demonstrate that, while σ(r) is essentially exponential, the effect of multiple self-intersections can be identified in transport measurements from the strong dependence of the spin-decay length on the external magnetic and electric fields.
机译：在许多有机半导体中，载流子的自旋与核自旋浴之间的超精细耦合是载流子自旋弛豫的主要通道。我们在理论上研究了超精细诱导的自旋弛豫的载体在有机半导体典型的传输方式中在d维规则晶格上执行随机游走。我们表明，在d = 1和2中，空间积分自旋极化P（t）的时间依赖性主要由超指数衰减主导，在很长时间内会跨越到拉伸指数尾部。较快的衰减归因于随机行走轨迹的多个自相交（返回），这些相交通常发生在较小的尺寸上。我们还从分析和数值上表明，返回值导致P（t）对外部电场和磁场的敏感性，而这种敏感性在很大程度上取决于系统的维数（d = 1对d = 3）。此外，我们详细研究了时间积分自旋极化σ（r）的坐标依赖性，可以在具有自旋极化电极的自旋输运实验中进行探测。我们证明，虽然σ（r）本质上是指数的，但自传输衰减长度对外部磁场和电场的强烈依赖性可以在传输测量中确定多个自相交的影响。

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