harihardiyan/Graphene-Tight-Binding-Audit-Toolkit: Initial Stable Release: Graphene Audit Toolkit
Abstract
Summary This is the initial stable release of the Graphene Tight-Binding Audit Toolkit. This version provides a robust framework for validating the physical and topological properties of graphene's electronic structure using JAX-accelerated numerical methods. Key Features High-Precision K-Point Refinement: Accurate Dirac point location using Newton-Raphson. Topological Audits: Calculation and verification of the Berry Phase (π). Symmetry Checks: Verification of C3 rotation and tau-gauge invariance. Scaling Audits: Numerical validation of vF scaling vs. hopping (t) and lattice constant (a). Linear Regime Analysis: Detection of the energy range where the Dirac cone approximation is valid. Verified Environment This release has been audited and passed all physical assertions on: Python: 3.12.x JAX: 0.7.2 Precision: Float64 (XLA enabled) How to use Download the source code, install dependencies via pip install jax jaxlib, and run graphene_audit.py
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 4 January 2026