Haldane Model Transport Simulator

A computational condensed matter physics framework for studying topological phases, Berry curvature, ribbon edge states, quantum transport, and non-Hermitian extensions of the Haldane model using tight-binding Hamiltonians and Green’s function methods.

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Features

• Haldane model band structure
• Berry curvature calculation
• Chern number evaluation
• Ribbon edge-state spectrum
• Quantum transport using NEGF
• Non-Hermitian topology
• Exceptional spectral behavior
• Scientific visualization framework

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Physics Background

The Haldane model is a paradigmatic tight-binding model for a Chern insulator on a honeycomb lattice. The model exhibits:

• Topological band gaps
• Broken time-reversal symmetry
• Quantized Chern numbers
• Chiral edge states

This repository extends the framework to include:

• Quantum transport calculations
• Green's function methods
• Non-Hermitian gain/loss physics
• Complex energy spectra

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Repository Structure

haldane-model-transport-simulator/
│
├── edge_states/
│   └── ribbon_haldane.py
│
├── figures/
│
├── hamiltonians/
│   ├── __init__.py
│   └── haldane.py
│
├── negf/
│   ├── __init__.py
│   └── greens_functions.py
│
├── nonhermitian/
│   └── nonhermitian_haldane.py
│
├── topology/
│   ├── berry_curvature.py
│   └── chern_number.py
│
├── transport/
│   └── transport.py
│
├── visualization/
│   ├── band_structure.py
│   ├── berry_curvature_map.py
│   ├── dos_plot.py
│   ├── nonhermitian_spectrum.py
│   ├── ribbon_band_structure.py
│   └── transport_plot.py
│
└── main.py