Structure of the moving piezoelectric polaron
Abstract
Both the intermediatecoupling theory and a strongcoupling theory appropriate for a moving polaron give an anomalous energymomentum relation, E(P), for the piezoelectric polaron. This relation starts out quadratic at small P, but at large P it asymptotes to a straight line with slope equal to the speed of sound s. It is shown that the states represented by this anomalous E vs. P relation are such that the electron is clothed by its concomitant lattice distortion and that this lattice distortion becomes larger as the polaron velocity v>s. This indicates that in this limit an increasing number of phonons are gathering in the "phonon cloud" around the electron. In both theories the constant latticepotential surfaces become flattened in the forward and backward directions as the polaron starts to move.
 Publication:

Physical Review B
 Pub Date:
 October 1974
 DOI:
 10.1103/PhysRevB.10.3458
 Bibcode:
 1974PhRvB..10.3458T