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Geometrically averaged density of states as a measure of localization

机译:状态的几何平均密度作为定位的度量

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摘要

Motivated by current interest in disordered systems of interacting electrons, the effectiveness of the geometrically averaged density of states, ρ_g(ω), as an order parameter for the Anderson transition is examined. In the context of finite-size systems we examine complications which arise from finite energy resolution. Furthermore we demonstrate that even in infinite systems a decline in ρ_g(ω) with increasing disorder strength is not uniquely associated with localization.
机译:受当前对相互作用电子的无序系统的兴趣所激发,研究了几何平均状态密度ρ_g(ω)作为安德森跃迁的阶跃参数的有效性。在有限尺寸系统的背景下,我们研究了由有限能量分辨率引起的复杂性。此外,我们证明,即使在无限大的系统中,随着无序强度的增加ρ_g(ω)的下降也不是唯一与局部性相关的。

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