TITLE:
Electron Auto-Localization Tailored by Its Thermal Energy: Dynamic Matrix Approach (DMA)
AUTHORS:
Idriss Fomadjo Fokou, Michael Nana Jipdi, Martin Tchoffo, Lukong Cornelius Fai
KEYWORDS:
Autolocalization, Quantum Phase Transition, Self-Trapping, Critical Temperature
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.3,
March
31,
2021
ABSTRACT: This paper investigates the thermal energy effect on electron auto-localization. The polaron characteristics (self-action potential and effective mass) are observed to be expressed via the renormalized electron-phonon coupling constant tailored by the thermal energy. Low temperatures are observed to favour auto-localization of the carrier while high temperatures favour polaron undressing and subsequent quenching of the quantum behaviour thereby rendering the system classical. The critical (transition) temperature τc expressed via the critical coupling constant ϒC is found to be the separating boundary between the quantum and the classical phases. Therefore, the polaron undergoes phase transition (from self-tapped to quasi free states) when the temperature of the medium is enhanced.