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Anharmonic Effects In Ion-Electron Chains

Zmuidzinas, J. (1978) Anharmonic Effects In Ion-Electron Chains. Journal de Physique Colloques, 39 (C6). pp. 715-716. ISSN 0449-1947. doi:10.1051/jphyscol:19786318.

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It is shown that a Fröhlich Hamiltonian for a chain of ions and conduction electrons leads to an effective quartic anharmonic phonon Hamiltonian characterized by a dimensionless parameter a²_e ≈ (3/64)(ξ/ε_F)⁴ (e_F/ 1/2 Ms², where ξ≈ε_F is an electron-phonon coupling parameter, M the ion mass, and s the speed of Sound. This electronic anharmonicity is ordinarily negligible (α²_e ≈ 0.01) but may become large and dominant in light-ion systems with high Fermi energies, for example, in filamentary metallic hydrogen.

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Additional Information:© 1978 EDP Sciences.
Issue or Number:C6
Record Number:CaltechAUTHORS:20200318-084529901
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:101960
Deposited By: Tony Diaz
Deposited On:18 Mar 2020 16:21
Last Modified:16 Nov 2021 18:07

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