Multi-polaron solutions, nonlocal effects and internal modes in a nonlinear chain

Area of Science:

• Condensed Matter Physics
• Theoretical Physics
• Materials Science

Background:

• The Holstein model describes electron-phonon interactions in molecular crystals.
• Understanding multipolaron behavior is crucial for electronic properties.
• Previous studies focused on specific limits or approximations.

Purpose of the Study:

• To investigate multipolaron solutions in the one-dimensional Holstein molecular crystal model.
• To identify new solutions and analyze their stability.
• To explore the impact of nonlocal effects on polaronic dynamics.

Main Methods:

• Utilized the continuous limit of the Holstein model, mapping it to the nonlinear Schrödinger equation.
• Derived and analyzed periodic dnoidal solutions for the multipolaron system.
• Examined the stability of cnoidal and dnoidal solutions across parameter spaces.
• Incorporated nonlocal effects to describe polaronic dynamics via internal solitonic modes.

Main Results:

• A novel periodic dnoidal solution for the multipolaron system was discovered.
• Cnoidal and dnoidal solutions exhibit distinct stability ranges.
• Nonlocal effects reveal polaronic dynamics governed by internal solitonic modes.

Conclusions:

• The study provides new insights into multipolaron solutions and their stability.
• The findings contribute to the theoretical understanding of charge transport in molecular crystals.
• The description of polaronic dynamics using solitonic modes offers a novel perspective.