Abstract
In this paper, we explore the impact of electron-phonon (e-ph) coupling on the Wigner crystallization occurring due to strong electron-electron (e-e) interactions in a semiconductor-based electron quantum wire. The e-ph coupling is represented by the Fröhlich interaction potential and electron correlations are included within the dynamic version of self-consistent mean-field approximation of Hasegawa and Shimizu. Numerical results are reported for the static structure factor and pair-correlation function for fixed wire width and some selected values of electron number density parameter rs . A strong peak in the static structure factor and pronounced periodic oscillations in pair-correlation function indicate the formation of Wigner crystal in the quantum wire at a critical electron number density rs c . We find that the inclusion of e-ph interactions in addition to the usual e-e interactions significantly enhance rs c , at a fixed wire width.
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