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摘要
We address the question regarding the effect of correlated random spring constants in the one-dimensional harmonic model. We consider all masses to be equal but the spring constants given by a random sequence with long-range correlations. We generate the long-range correlated sequence of spring constants by using a fractional Brownian motion with a power-law spectral density S(k) = 1/k(alpha). Using an exact diagonalization formalism, we compute the participation moments of eigenmodes within the band of allowed frequencies. We unveil a regime on which all modes below a critical frequency become extended.
- 出版日期2015-6
