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arXiv 0808.3757cond-mat.dis-nn
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一维无序系统中的可微势和金属态

Differentiable potentials and metallic states in disordered one-dimensional systems

Antonio M. Garcia-Garcia, Emilio Cuevas

摘要:

我们提供的证据表明,作为一般规则的安德森局域化效果变得较弱的程度的可微性的无序势的增加。在一维中,如果无序势充分相关,并且具有某种最小程度的可微性,则存在金属态带。几个例子进行了详细研究。与单参数标度理论一致,如果谱密度是光滑的,则金属区的运动是弹道运动。最后,我们研究了最有希望的设置在冷原子的背景下观察这些结果。

英文摘要:

We provide evidence that as a general rule Anderson localization effects become weaker as the degree of differentiability of the disordered potential increases. In one dimension a band of metallic states exists provided that the disordered potential is sufficiently correlated and has some minimum degree of differentiability. Several examples are studied in detail. In agreement with the one parameter scaling theory the motion in the metallic region is ballistic if the spectral density is smooth. Finally, we study the most promising settings to observe these results in the context of cold atoms.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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