Strong-coupling surface polaron in a magnetic field

TL;DR

This paper investigates the effects of magnetic fields on electron-phonon interactions near a surface, providing formulas and numerical insights into how these interactions vary with distance and magnetic field strength.

Contribution

It introduces a variational method to analyze strong surface optical phonon interactions and their dependence on magnetic fields, which is a novel approach in this context.

Findings

Electron-LO phonon interaction energy increases with distance from the surface.

Electron-SO phonon interaction energy decreases as the electron moves away from the surface.

Both interactions are enhanced by increasing magnetic field strength.

Abstract

By applying variational method, the strong electron-surface optical(SO) phonon interaction and the weak electron-longitudinal optical (LO) phonon interaction are studied systematically in present paper. The formula of induced energy $V_{e-so}$, $V_{e-lo}$ in both the ground and excited states are given. The numerical results show that as the distance between the electron and the polar crystal surface increases, the electron-LO phonon interaction energy increases yet the electron-SO phonon interaction energy decreases. The numerical results also show that both electron-LO and electron-SO phonon interaction are enhanced as the magnetic field strength increases.