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In the framework of the tight binding model,the electronic transmission properties of two-dimensional Penrose lattices with free boundary conditions are studied using the generalized eigenfunction method (Phys.Rev.B 60(1999)13 444).The electronic transmission coefficients for Penrose lattices with different sizes and widths are calculated,and the result shows strong energy dependence because of the quasiperiodic structure and quantum coherent effect.Around the Fermi level E=0,there is an energy region with zero transmission amplitudes,which suggests that the studied systems are insulating.The spatial distributions of several typical electronic states with different transmission coefficients are plotted to display the propagation process. 相似文献
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Substitutions of vertex configuration of Ammann-Beenker tiling in framework of Ammann lines 下载免费PDF全文
Jia-Rong Ye 《中国物理 B》2022,31(8):86101-086101
The Ammann-Beenker tiling is a typical model for two-dimensional octagonal quasicrystals. The geometric properties of local configurations are the key to understanding its formation mechanism. We study the configuration correlations in the framework of Ammann lines, giving an in-depth inspection of this eightfold symmetric structure. When both the vertex type and the orientation are taken into account, strict confinements of neighboring vertices are found. These correlations reveal the structural properties of the quasilattice and also provide substitution rules of vertex along an Ammann line. 相似文献
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通过对二维正方排列圆柱状亥姆赫兹共振腔阵列声性质的研究,指出局域共振型声子晶体中存在两类耦合作用, 即共振单元与基体的弱耦合作用及共振单元间的耦合作用.其中前一种耦合作用可以通过改变共振单元的品质因子而改变, 逐渐减小这种耦合作用可以实现从局域共振到布拉格共振的连续转变;后一种耦合是通过共振单元周围的近场耦合实现的, 通过减小共振单元的间距可以增大其耦合强度,因而增大带隙宽度,但带隙中波的衰减深度却是随这种耦合强度的增大而减小的. 相似文献
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A three-company econophysics model for competing multi-agent systems in a triangular lattice is analyzed using mean field theory for its phase diagram. Interpretations for the temperature, spin density and lattice structures are presented. Suggestions for the use of this model for econophysics in the context of multi-agent systems are made. 相似文献
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Covering Rules and Nearest Neighbour Configurations of the Dodecagonal Quasiperiodic Structure 下载免费PDF全文
A dodecagonal quasiperiodic structure can be generated by duster covering and the quasilattice is described in terms of the quasi-unit cell. We study the structural properties of the two-dimensional dodecagonal quasilattice in the covering scheme. The pair covering rules and the nearest neighbour configurations are determined. It is shown that the dodecagonal structure is more complicated than those of decagonal and octagonal quasilattices. 相似文献
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We study the structural properties of a two-dimensional quasilattice constructed by covering of identical octagonal clusters. The covering cases and nearest-neighbour configurations are presented. A self-similar transformation is introduced to generate an octagonal covering model in a direct way. 相似文献