Time-dependent Jahn-Teller problem: phonon-induced relaxation through conical intersection

Area of Science:

• Condensed Matter Physics
• Quantum Mechanics
• Materials Science

Background:

• The Jahn-Teller effect describes geometric distortions in molecules and solids with degenerate electronic states.
• Understanding excited-state relaxation dynamics is crucial for predicting material properties and device performance.
• Impurity centers in solids exhibit complex vibronic interactions influencing their optical and electronic behavior.

Purpose of the Study:

• To theoretically investigate the time-dependent dynamical Jahn-Teller effect in an impurity center within a solid.
• To analyze the relaxation pathways of excited states through the conical intersection of potential energy surfaces.
• To elucidate the role of quantum mechanics in vibronic interactions and their impact on relaxation dynamics.

Main Methods:

• A strict quantum-mechanical treatment of vibronic interactions was applied.
• The study incorporated both Jahn-Teller active vibrations and non-totally symmetric phonons.
• Numerical calculations were performed to determine the time-dependence of the configurational coordinate distribution function.

Main Results:

• The study visualizes the detailed relaxation processes occurring through the conical intersection.
• It quantifies the time-dependence of the distribution function for the basic configurational coordinate.
• The influence of Slonczewski quantization on relaxation dynamics within the conical intersection was elucidated.

Conclusions:

• The quantum-mechanical approach provides detailed insights into vibronic interactions and relaxation.
• Conical intersections are critical pathways for excited-state relaxation in Jahn-Teller systems.
• Slonczewski quantization significantly affects the relaxation dynamics at conical intersections, impacting impurity center behavior.