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Area of Science:

Quantum transport phenomena
Condensed matter physics
Materials science

Background:

Understanding electron and phonon quantum transport is crucial for designing advanced electronic devices.
Accurate simulation of electron-phonon interactions remains a challenge in condensed matter physics.
Existing methods often rely on approximations that limit their applicability.

Purpose of the Study:

To develop and validate a molecular dynamics (MD) approach for simulating electron and phonon quantum transport.
To investigate the interplay between charge and energy transport.
To explore the transition from ballistic to diffusive electron conduction in one-dimensional systems.

Main Methods:

Generalized quantum Langevin equations for tight-binding wavefunction amplitudes and lattice displacements.
Exact quantum transport calculations using molecular dynamics (MD) in the ballistic regime.
Quasi-classical approximation for handling electron-phonon interactions.
Comparison with fully quantum mechanical nonequilibrium Green's function (NEGF) approach for electron currents.

Main Results:

MD simulations accurately capture electron and phonon quantum transport in the ballistic regime.
The quasi-classical approximation effectively handles electron-phonon interactions.
Interplay between charge and energy transport can be studied.
A transition from ballistic to diffusive electron conduction was observed in one-dimensional chains with increasing length.

Conclusions:

The developed MD approach provides an exact method for studying quantum transport.
The findings highlight the importance of chain length in determining electron conduction behavior.
This work offers a powerful tool for investigating quantum transport and electron-phonon coupling in materials.