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arXiv 1201.0823cond-mat.supr-con
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低温下液态~ 3 He A相的自旋扩散系数与半量子涡旋的稳定性

Spin Diffusion Coefficient of A Phase of Liquid 3He at Low Temperatures and Stability of Half Quantum Vortex

Shokouh Haghdani, Mohammad Ali Shahzamanian

摘要:

本文利用Kubo公式方法,从准粒子寿命的角度研究了低温下液态~ 3 He A相中自旋扩散系数张量。通常,该系数是各向异性态的四阶张量,并且可以被定义为自旋电流和磁化强度的法向分量的函数。利用玻尔兹曼方程得到了准粒子寿命。我们发现在低温下自旋扩散系数的分量与T^(-2)成正比。因此,自旋流的简正分量具有很强的扩散性,在3 He-A态的等自旋配对中,这些分量对半量子涡旋稳定性的贡献可以忽略不计.因此,为了得到稳定的HQV,只要考虑弱相互作用和朗道费米液体的影响就足够了。

英文摘要:

We theoretically investigate the spin diffusion coefficient tensor in the A phase of liquid 3He in term of quasiparticle life-time by using the Kubo formula approach at low temperatures. In general, the coefficient is a fourth rank tensor for the anisotropic states and can be defined as a function of both normal component of spin-current and magnetization. The quasiparticle life-time is obtained by using the Boltzmann equation. We find that components of the spin diffusion coefficient are proportional to T^(-2) at low temperatures. The normal components of spin current, hence, are strongly diffusive and one can ignore the contribution of these components to the stability of half quantum vortices (HQV s) in the equal-spin-pairing of 3He-A state. Hence to make a stable HQV, it is enough for one to consider weak interaction plus the effects of Landau Fermi liquid.

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