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23 April 2024
 
  » arxiv » 1212.5474

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Shot noise of spin current and spin transfer torque
Yunjin Yu ; Hongxin Zhan ; Langhui Wan ; Bin Wang ; Yadong Wei ; Qingfeng Sun ; Jian Wang ;
Date 21 Dec 2012
AbstractWe report the theoretical investigation of noise spectrum of spin current and spin transfer torque for non-colinear spin polarized transport in a spin-valve device which consists of normal scattering region connected by two ferromagnetic electrodes. Our theory was developed using non-equilibrium Green’s function method and general non-linear $S^sigma-V$ and $S^ au-V$ relations were derived as a function of angle $ heta$ between magnetization of two leads. We have applied our theory to a quantum dot system with a resonant level coupled with two ferromagnetic electrodes. It was found that for the MNM system, the auto-correlation of spin current is enough to characterize the fluctuation of spin current. For a system with three ferromagnetic layers, however, both auto-correlation and cross-correlation of spin current are needed to characterize the noise spectrum of spin current. Furthermore, the spin transfer torque and the torque noise were studied for the MNM system. For a quantum dot with a resonant level, the derivative of spin torque with respect to bias voltage is proportional to $sin heta$ when the system is far away from the resonance. When the system is near the resonance, the spin transfer torque becomes non-sinusoidal function of $ heta$. The derivative of noise spectrum of spin transfer torque with respect to the bias voltage $N_ au$ behaves differently when the system is near or far away from the resonance. Specifically, the differential shot noise of spin transfer torque $N_ au$ is a concave function of $ heta$ near the resonance while it becomes convex function of $ heta$ far away from resonance. For certain bias voltages, the period $N_ au( heta)$ becomes $pi$ instead of $2pi$. For small $ heta$, it was found that the differential shot noise of spin transfer torque is very sensitive to the bias voltage and the other system parameters.
Source arXiv, 1212.5474
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