Electron-phonon interactions and charge-density-wave formations in strong magnetic fields

Abstract
An electron gas in a strong magnetic field will attain a one-dimensional energy spectrum due to the quenching of the motion perpendicular to the field into the lowest Landau level. Such a system is then expected to show an instability towards a charge-density-wave formation. In this report, we show that for strongly polar semiconductors, the electron-phonon interactions greatly enhance the critical temperature for an instability and lead to a Peierls instability with a permanent distortion of the electron-phonon system.