Unusual band structure, wave functions and electrical conductance in crystals with incommensurate periodic potentials

Unusual band structure, wave functions and electrical conductance in crystals with incommensurate periodic potentials
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DOI:
10.1016/0370-1573(85)90088-2
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发表时间:
1985-09
期刊:
Physics Reports
影响因子:
--
通讯作者:
J. Sokoloff
J. Sokoloff
中科院分区:
其他
文献类型:
--
作者:
J. Sokoloff

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综述了无公度周期势晶体中的电子态和声子态的研究现状。重点放在处理这一问题的各种理论方法背后的物理学,以及它们之间的关系。这篇评论是为了补充Simon和Bellissard关于这个问题的数学严谨结果的评论。虽然综述主要是理论上的,但有一节讨论了该理论可能的实验应用,以及已经进行的实验观察。给出了一些新的理论结果,并重新解释了一些旧的结果。
The subject of electronic and phonon states in crystals with incommensurate periodic potentials is reviewed. The emphasis is on the physics behind the various theoretical methods of treating this problem and on showing the relationships between them. This review is meant to complement the reviews of mathematically rigorous results on the problem by Simon and by Bellissard. Although the review is primarily theoretical, there is a section which discusses possible experimental application of the theory, as well as experimental observations that have already been made. Some new theoretical results are presented and some old results are reinterpreted.