Quantum Dynamics of a Driven Correlated System Coupled to Phonons

TL;DR

This study investigates the nonequilibrium dynamics of a single charge carrier in a t-J-Holstein model under an electric field, revealing how electron-phonon interactions influence mobility, current, and energy distribution among spin and phonon subsystems.

Contribution

It provides new insights into the steady-state behavior and energy flow in a driven correlated system coupled to phonons, specifically within the context of cuprate-like parameters.

Findings

Carrier mobility decreases with stronger e-ph coupling.

Steady state current increases due to e-ph coupling in negative differential resistance regime.

Most energy absorbed flows into the spin subsystem for cuprate-relevant parameters.

Abstract

Nonequilibrium interplay between charge, spin and lattice degrees of freedom on a square lattice is studied for a single charge carrier doped in the t-J-Holstein model. In the presence of an uniform electric field we calculate the qusistationary state. With increasing electron-phonon (e-ph) coupling the carrier mobility decreases, however, we find increased steady state current due to e-ph coupling in the regime of negative differential resistance. We explore the distribution of absorbed energy between the spin and the phonon subsystem. For model parameters as relevant for cuprates, the majority of the gained energy flows into the spin subsystem.