Exact spectral density of a random chain of oscillators
We solve numerically a set of coupled integral equations due to Halperin to obtain the spectral density of a random chain of oscillators. The results are compared with coherent-potential-approximation (CPA) and Monte Carlo calculations. The accuracy of CPA is found to be similar to that achieved in...
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| Autores principales: | , |
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| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_01631829_v15_n2_p779_Hirsch |
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| Sumario: | We solve numerically a set of coupled integral equations due to Halperin to obtain the spectral density of a random chain of oscillators. The results are compared with coherent-potential-approximation (CPA) and Monte Carlo calculations. The accuracy of CPA is found to be similar to that achieved in CPA calculations of the density of states: the gross features of A(q,μ) are correctly reproduced; the fine structure is averaged out. The agreement between exact and Monte Carlo calculations is excellent. © 1977 The American Physical Society. |
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