Microscopic theory for electron-phonon coupling in twisted bilayer graphene

This dataset provides the underlying numerical results from a first-principles-based microscopic theory investigating electron-phonon coupling in twisted bilayer graphene. This data package specifically catalogs the electron-phonon interactions, Eliashberg functions, and mode-specific coupling strengths generated via a momentum-space continuum model.

Dataset structure and contents: The data is organized into three primary compressed directories representing the evolution of EPC from the atomic to the macroscopic scale:

EPC Constants and Eliashberg Functions (lambda.zip): Contains .mat files indexed by twist angle (\theta). Key variables include the Eliashberg function (\alpha^2F) and EPC constants (\lambda) calculated under both adiabatic and non-adiabatic frameworks, allowing for comparison of dynamical effects near the magic angle.

Mode-Averaged Matrix Elements (g_avg_new.zip): Data identifying the contribution of specific phonon branches to the total coupling strength.

Phonon Dispersion Profiles (ph_data.zip): Comprehensive phonon frequency vs. momentum data for various twist angles and cutoff radii, defining the phononic band structure of the moiré supercell.

Reuse potential: This dataset is intended for condensed matter physicists and materials scientists seeking to validate many-body theories or compare experimental transport data with microscopic EPC calculations. By providing both adiabatic and general Eliashberg functions, the data enables further sensitivity analysis of superconducting transition temperatures and building an effective theory in twisted bilayer graphene.