Electric field - velocity relation for strongly coupled Frohlich polaron in emerging 2D materials

In this paper we evaluate the electric field-velocity relation for strong electron-LO phonon coupled 2D materials namely HfS2, HfSe2, ZrS2 and ZrSe2 by applying Thornber-Feynman (TF) formalism applied to the case of the 2D Frohlich polaron. We demonstrate that the generally-accepted Fermi's Golden Rule based approach breaks down for these strongly coupled materials. We predict ZrSe2 has highest mobility of 449 cm(2)/V-s at room temperature followed by HfSe2 with 240 cm(2)/V-s whereas other materials have below 100 cm(2)/V-s.