Asymmetrical electron-phonon interaction in one-dimensional magnetic edge states in presence of a nonuniform magnetic field

In two-dimensional electron systems located in a nonuniform magnetic field, one-dimensional electron magnetic edge states exist. Due to simultaneous breaking of inversion symmetry and time-inversion symmetry in these structures an asymmetrical electron energy spectrum ε(k)≠ε(-k) appears, where k is electron wave vector. As a consequence, electronic properties of the structures are different for mutually opposite directions, and because of it new unusual electron transport phenomena appear. The aim of presented work is a theoretical analysis of electron-phonon interaction there. It shows, particularly, that due to the spectrum asymmetry a different interaction between electrons and acoustic phonons having mutually opposite directions of wave vectors (the so-called spatial asymmetry of electron-phonon interaction) takes place there, and the anomalous e.m.f. of phonon drag of electrons appears