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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todo:paper_01631829_v15_n2_p779_Hirsch2023-10-03T15:01:41Z Exact spectral density of a random chain of oscillators Hirsch, J.E. Eggarter, T.P. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_01631829_v15_n2_p779_Hirsch |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
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. |
| format |
JOUR |
| author |
Hirsch, J.E. Eggarter, T.P. |
| spellingShingle |
Hirsch, J.E. Eggarter, T.P. Exact spectral density of a random chain of oscillators |
| author_facet |
Hirsch, J.E. Eggarter, T.P. |
| author_sort |
Hirsch, J.E. |
| title |
Exact spectral density of a random chain of oscillators |
| title_short |
Exact spectral density of a random chain of oscillators |
| title_full |
Exact spectral density of a random chain of oscillators |
| title_fullStr |
Exact spectral density of a random chain of oscillators |
| title_full_unstemmed |
Exact spectral density of a random chain of oscillators |
| title_sort |
exact spectral density of a random chain of oscillators |
| url |
http://hdl.handle.net/20.500.12110/paper_01631829_v15_n2_p779_Hirsch |
| work_keys_str_mv |
AT hirschje exactspectraldensityofarandomchainofoscillators AT eggartertp exactspectraldensityofarandomchainofoscillators |
| _version_ |
1807319297936064512 |