Quasiparticle dynamics by effective π-field distortion

Modeling dynamical processes of quasiparticles in low dimensional pi-conjugated systems is challenging due to electron-phonon coupling. We show that this interaction leads to linear potential energy terms in the lattice Lagrangian similar to a local gravitational field. The presence of quasiparticles deforms this field in a way analogous to a low-dimension solution of general relativity. Our calculations with analytical expressions for effective pi-fields yield the correct band structure and deliver proper time evolution of the quasiparticle's properties. Furthermore, we report a sharp reduction in the dynamics computational time up to two orders of magnitude, a result that has major simulation implications.

Automated summary

This study reveals that modeling the dynamical processes of quasiparticles in low dimensional pi-conjugated systems is challenging due to electron-phonon coupling, leading to linear potential energy terms in the lattice Lagrangian that resemble a local gravitational field. The presence of quasiparticles deforms this field in a manner similar to a low-dimension solution of general relativity. Using analytical expressions for effective pi-fields, correct band structure and time evolution of quasiparticle properties are obtained.