Ground state of a periodic elastic atomic chain in an arbitrary periodic potential


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Abstract

The ground state of a periodic elastic atomic chain in a periodic potential has been investigated. The tensile strain and potential energy of the chain have been found as functions of the disproportion parameter. Exact solutions differ from those found in the continuous approximation by the P symmetry and smaller regions of commensurate phases.

About the authors

A. K. Abkaryan

Institute of Space and Information Technologies

Email: anfilonov@rambler.ru
Russian Federation, ul. Kirenskogo 26, Krasnoyarsk, 660074

A. Yu. Babushkin

Institute of Space and Information Technologies

Email: anfilonov@rambler.ru
Russian Federation, ul. Kirenskogo 26, Krasnoyarsk, 660074

B. S. Dobronets

Institute of Space and Information Technologies

Email: anfilonov@rambler.ru
Russian Federation, ul. Kirenskogo 26, Krasnoyarsk, 660074

V. S. Krasikov

Institute of Space and Information Technologies

Email: anfilonov@rambler.ru
Russian Federation, ul. Kirenskogo 26, Krasnoyarsk, 660074

A. N. Filonov

Institute of Nonferrous Metals and Materials Science

Author for correspondence.
Email: anfilonov@rambler.ru
Russian Federation, pr. imeni gazety “Krasnoyarskii Rabochii” 95, Krasnoyarsk, 660025

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