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首页> 外文期刊>Journal of magnetism and magnetic materials >Fractal spectra in generalized Fibonacci one-dimensional magnonic quasicrystals
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Fractal spectra in generalized Fibonacci one-dimensional magnonic quasicrystals

机译：广义斐波那契一维强子准晶体的分形谱

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摘要

In this work we carry out a theoretical analysis of the spectra of magnons in quasiperiodic magnonic crystals arranged in accordance with generalized Fibonacci sequences in the exchange regime, by using a model based on a transfer-matrix method together random-phase approximation (RPA). The generalized Fibonacci sequences are characterized by an irrational parameter σ(p,q), which rules the physical properties of the system. We discussed the magnonic fractal spectra for first three generalizations, i.e., silver, bronze and nickel mean. By varying the generation number, we have found that the fragmentation process of allowed bands makes possible the emergence of new allowed magnonic bulk bands in spectra regions that were magnonic band gaps before, such as which occurs in doped semiconductor devices. This interesting property arises in one-dimensional magnonic quasicrystals fabricated in accordance to quasiperiodic sequences, without the need to introduce some deferent atomic layer or defect in the system. We also make a qualitative and quantitative investigations on these magnonic spectra by analyzing the distribution and magnitude of allowed bulk bands in function of the generalized Fibonacci number F_n and as well as how they scale as a function of the number of generations of the sequences, respectively.
机译：在这项工作中，我们通过使用基于转移矩阵方法和随机相位近似（RPA）的模型，对根据交换条件下的广义斐波纳契数列排列的准周期镁磁晶体中的磁振子的光谱进行了理论分析。广义斐波纳契数列的特征在于非理性参数σ（p，q），该参数决定系统的物理属性。我们讨论了前三个概化的镁磁分形谱，即银，青铜和镍均值。通过改变世代数，我们发现允许带的碎片化过程使得有可能在以前是强磁带隙的光谱区域中出现新的允许的强磁体能带，例如在掺杂半导体器件中发生的情况。这种有趣的特性出现在根据准周期序列制造的一维大相准晶体中，而无需在系统中引入一些不同的原子层或缺陷。我们还通过分析广义斐波那契数F_n的函数中允许的体带的分布和大小，以及它们如何随序列的世代数按比例缩放，来对这些磁共振波谱进行定性和定量研究。 。

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