The average density of states in a disordered three-dimensional Weyl system is discussed in the case of a continuous distribution of random scattering. Our results clearly indicate that the average density of states does not vanish, reflecting the absence of a critical point for a metal-insulator transition. This calculation supports recent suggestions of an avoided quantum critical point in the disordered three-dimensional Weyl semimetal. However, the effective density of states can be very small such that the saddle-approximation with a vanishing density of states might be valid for practical cases.

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关于3D Weyl半金属中状态密度的简短说明

在无序散射的连续分布情况下，讨论了无序三维Weyl系统中状态的平均密度。我们的结果清楚地表明，状态的平均密度不会消失，反映出没有金属-绝缘体转变的临界点。该计算结果支持了最近提出的关于在无序三维Weyl半金属中避免量子临界点的建议。但是，状态的有效密度可能很小，因此状态密度消失的鞍形近似对于实际情况可能是有效的。