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Diffusive transport in Weyl semimetals

机译：Weyl半金属中的扩散运输

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摘要

Diffusion, a ubiquitous phenomenon in nature, is a consequence of particle number conservation and locality in systems with sufficient damping. In this paper, we consider diffusive processes in the bulk of Weyl semimetals, which are exotic quantum materials, recently of considerable interest. In order to do this, we first explicitly implement the analytical scheme by which disorder with anisotropic scattering amplitude is incorporated into the diagrammatic response-function formalism for calculating the "diffuson". The result, thus, obtained is consistent with transport coefficients evaluated from the Boltzmann transport equation or the renormalized uniform current vertex calculation as it should be. We, thus, demonstrate that the computation of the diffusion coefficient should involve the transport lifetime and not the quasiparticle lifetime. Using this method, we then calculate the density response function in Weyl semimetals and discover an unconventional diffusion process that is significantly slower than conventipnal diffusion. This gives rise to relaxation processes that exhibit stretched exponential decay instead of the usual exponential diffusive relaxation. This result is then explained using a model of thermally excited quasiparticles diffusing with diffusion coefficients which are strongly dependent on their energies. We elucidate the roles of the various energy and time scales involved in this novel process and propose an experiment by which this process may be observed.
机译：扩散是自然界中普遍存在的现象，是在具有足够阻尼的系统中粒子数量守恒和局部性的结果。在本文中，我们考虑了作为外来量子材料的Weyl半金属的大部分扩散过程，这些近来引起了人们的极大兴趣。为此，我们首先明确实现一种分析方案，通过该方案将具有各向异性散射幅度的无序性合并到图解响应函数形式中，以计算“扩散”。因此，所获得的结果与从玻耳兹曼输运方程或经过重新归一化的均匀电流顶点计算所估计的输运系数相一致。因此，我们证明了扩散系数的计算应涉及传输寿命而不是准粒子寿命。然后，使用这种方法，我们计算Weyl半金属中的密度响应函数，并发现一个比常规扩散慢得多的非常规扩散过程。这引起了弛豫过程，该过程表现出拉伸的指数衰减，而不是通常的指数扩散弛豫。然后使用热激发的准粒子模型来解释该结果，准粒子的扩散系数很大程度上取决于其能量。我们阐明了这个新颖过程中涉及的各种能量和时间尺度的作用，并提出了可以观察到该过程的实验。

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  • 来源
    《Physical review》 |2014年第1期|014205.1-014205.12|共12页
  • 作者

    Rudro R. Biswas; Shinsei Ryu;

  • 作者单位

    Department of Physics and Institute for Condensed Matter Theory, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080, USA;

    Department of Physics and Institute for Condensed Matter Theory, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080, USA;

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