Universality of AC conductivity: Random site-energy model with Fermi statistics
Universality of AC conductivity: Random site-energy model with Fermi statistics
复制标题
交流电导率的普遍性：费米统计的随机位点能量模型
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
M. Michels
中科院分区：
文献类型：
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作者：
W. F. Pasveer;Pa Peter Bobbert;M. Michels
实验证明了许多无序固体在极端无序极限下的频率相关导电的普遍性。从理论上讲，这种普遍性已经建立了不同的技术和各种模型。一个流行的模型，已被广泛研究，并建立了交流的普遍性是对称的随机势垒模型没有费米统计。然而，对于更现实的模型的随机网站的能量和费米统计AC的普遍性从来没有严格建立。在目前的工作中，我们进行了数值研究后一个模型的一个规则的晶格在两个维度。此外，我们允许可变范围跳跃。我们的主要结论是，AC普遍性似乎持有这个现实的模型。获得的电导率主曲线与二维随机势垒模型获得的主曲线似乎相同。
The universality of the frequency-dependent (AC) conduction of many disordered solids in the extreme-disorder limit has been demonstrated experimentally. Theoretically, this universality has been established with different techniques and for various models. A popular model that has been extensively investigated and for which AC universality was established is the symmetric random-barrier model without Fermi statistics. However, for the more realistic model of random site-energies and Fermi statistics AC universality has never been rigorously established. In the present work we perform a numerical study of the latter model for a regular lattice in two dimensions. In addition, we allow for variable-range hopping. Our main conclusion is that AC universality appears to hold for this realistic model. The obtained master curve for the conductivity and the one obtained for the random-barrier model in two dimensions appear to be the same.