Spectral and localization properties for the one-dimensional Bernoulli discrete Dirac operator
Spectral and localization properties for the one-dimensional Bernoulli discrete Dirac operator
复制标题
一维伯努利离散狄拉克算子的谱和局域化特性
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
R. Prado
中科院分区：
文献类型：
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作者：
C. Oliveira;R. Prado
本文讨论了一维Dirac紧束缚模型，证明了它的非相对论极限是一维离散薛定谔模型。对于随机伯努利势采取两个值（没有相关性），典型的实现和所有的质量值，它表明，它的频谱是纯点，而零质量的情况下，提出了动态离域的特定值的能量。在有质量的情况下，呈现动力学局域化（不包括某些特定的能量值）。最后，对于一般的潜力，不同的质量，特别是无质量和大量的伯努利情况下的动力学时刻进行了比较。
An one-dimensional (1D) Dirac tight-binding model is considered and it is shown that its nonrelativistic limit is the 1D discrete Schrodinger model. For random Bernoulli potentials taking two values (without correlations), for typical realizations and for all values of the mass, it is shown that its spectrum is pure point, whereas the zero mass case presents dynamical delocalization for specific values of the energy. The massive case presents dynamical localization (excluding some particular values of the energy). Finally, for general potentials the dynamical moments for distinct masses are compared, especially the massless and massive Bernoulli cases.