Data from: 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.