Impact of electron-phonon interactions on Wigner crystallization in an electron quantum wire

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