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首页> 外文期刊>Journal of Non-Crystalline Solids: A Journal Devoted to Oxide, Halide, Chalcogenide and Metallic Glasses, Amorphous Semiconductors, Non-Crystalline Films, Glass-Ceramics and Glassy Composites >Wave function behavior in a Fibonacci lattice with electronic correlation
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Wave function behavior in a Fibonacci lattice with electronic correlation

机译：具有电子相关性的斐波那契晶格中的波动函数行为

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The electronic correlation and the spatial symmetry in quasicrystals are by themselves two very complicated research topics since we cannot use the reciprocal space to study quasicrystals and the electronic correlation in many-body system has been solved exactly only for one and for infinite dimension. We should note that even in one-dimensional quasiperiodic structures, the interactions between electrons have often been neglected and only few results have been obtained. In this work, we solved the case of two interacting particles in a Fibonacci lattice using a real-space method and the Hubbard model. The real-space method is based on mapping the correlated many-body problem onto an equivalent site- and bond-impurity tight-binding one in a higher dimensional space. Within the Hubbard Hamiltonian we obtained the behavior of the wave function and the analysis of these eigen-functions in the Fibonacci lattice when correlation is off shows a critical behavior. (c) 2007 Elsevier B.V. All rights reserved.
机译：准晶体中的电子相关性和空间对称性本身就是两个非常复杂的研究课题，因为我们不能使用倒数空间来研究准晶体，而且多体系统中的电子相关性仅针对一维和无穷大而精确地解决了。我们应该注意，即使在一维准周期结构中，电子之间的相互作用也经常被忽略，并且仅获得很少的结果。在这项工作中，我们使用实空间方法和Hubbard模型解决了斐波那契晶格中两个相互作用粒子的情况。实空间方法基于将相关的多体问题映射到高维空间中等效的位点和键杂质杂质紧密结合的问题。在哈伯德哈密顿量中，我们获得了波动函数的行为，并且当相关性关闭时，斐波纳契晶格中这些本征函数的分析显示出临界行为。 （c）2007 Elsevier B.V.保留所有权利。

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