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A package for NEGF calculations

Project description

Non-Equillibrium Green’s Functions solvers and examples for educational purposes. Limited to a 1D linear chain for now. See the [documentation](https://liborsold.github.io/fuNEGF/).

Install with ```pip install fuNEGF``` from the [project’s PyPI repository](https://pypi.org/project/fuNEGF/).

## Structure * the `LinearChain` class including the NEGF routines resides in `src/fuNEGF/models.py` * a Jupyter notebook `src/examples/one-dimensional_channel.ipynb` contains the linear chain case study with the underlying physics explained * a Jupyter notebok `src/examples/time_complexity.ipynb` contains a time complexity study of constructing the model $mathcal{O}(N)$ and calculating the transmission coefficient $mathcal{O}(N^2)$

## Example A linear chain with a single or multiple on-site potential impurities will present a chemical potential (occupation) drop, which may not be apparent unless a phase relaxation is included, as shown below. An additional momentum relaxation will cause a non-zero chemical potential slope in between the impurity regions. The complete description and calculation are provided in the `src/examples/one-dimensional_channel.ipynb` notebook.

![example](./example.png)

## Features * object-oriented * with automatically generated [online documentation](https://liborsold.github.io/fuNEGF/) * PEP8-compliant * including unit tests

BSD 3-Clause License

Copyright (c) 2024, liborsold

Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

  1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.

  2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.

  3. Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS “AS IS” AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

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