nonhermitianfermidiracdistributionpersistentcurrent
This repository contains the code developed to accompany the Letter: Non-Hermitian Fermi-Dirac Distribution in Persistent Current Transport.
https://github.com/peixinshen/nonhermitianfermidiracdistributionpersistentcurrent
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This repository contains the code developed to accompany the Letter: Non-Hermitian Fermi-Dirac Distribution in Persistent Current Transport.
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README.md
Non-Hermitian Fermi-Dirac Distribution in Persistent Current Transport
This repository contains the code developed to accompany the Letter titled Non-Hermitian Fermi-Dirac Distribution in Persistent Current Transport [1].
Contents
SNS.ipynb: A phase-biased superconducting-normal-superconducting (SNS) junction.Ring.ipynb: A normal metallic ring threaded by a magnetic flux.NonHermitianFermiDiracPersistentCurrent.nb: Mathematica notebook (view online) for symbolic derivation of the non-Hermitian Fermi-Dirac distribution and relevant analytical calculations.
Usage
To run the Jupyter notebooks, ensure you have DMRGpy installed. Each notebook is self-contained and provides step-by-step computation leading to the ground state energy and persistent current as a function of the phase. The analysis focuses on the influence of many-body interactions on the persistent currents and scrutinizes the signatures of exceptional points within these systems.
For the Mathematica notebook, we demonstrate the symbolic derivation of our formalism, including: - Derivation and visualization of the non-Hermitian Fermi-Dirac distribution. - Continuity of the persistent current at exceptional points, as discussed in the blog titled Quantum many-body observables in equilibrium are continuous at exceptional points. - Analytical expressions and and numerical verifications for Green's function.
This notebook has been featured in the Wolfram Community in the editorial columns: Staff Picks and Publication Materials.
Reference
[1] P.-X. Shen, Z. Lu, J. L. Lado, and M. Trif, Non-Hermitian Fermi-Dirac Distribution in Persistent Current Transport, Phys. Rev. Lett. 133, 086301 (2024).
Please note that in the final published version of our Letter, there is a minor typo in the sentence located in the lower left corner of page 2: "For isolated and Hermitian systems $
\mathcal{H}_\mathrm{sys}$, the persistent current $I_\mathrm{iso}(\phi)$ n the many-body ground state with energy $E_0$ follows [56]," where the word n should be in.
Citation
If you use this code or notebook in your research, please cite our Letter:
bibtex
@article{Shen2024NonHermitian,
title = {Non-{{Hermitian Fermi-Dirac Distribution}} in {{Persistent Current Transport}}},
author = {Shen, Pei-Xin and Lu, Zhide and Lado, Jose L. and Trif, Mircea},
year = {2024},
month = aug,
volume = {133},
number = {8},
pages = {086301},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.133.086301},
journal = {Physical Review Letters}
}
Owner
- Name: Pei-Xin Shen
- Login: peixinshen
- Kind: user
- Location: Beijing
- Company: Tsinghua University
- Repositories: 1
- Profile: https://github.com/peixinshen
Quantum Information | Topological Materials | High-Energy Astrophysics
Citation (CITATION.cff)
# This CITATION.cff file was generated with cffinit.
# Visit https://bit.ly/cffinit to generate yours today!
cff-version: 1.2.0
title: Non-Hermitian Fermi-Dirac Distribution in Persistent Current Transport
message: "If you use this software, please cite it as below."
type: software
authors:
- given-names: Pei-Xin
family-names: Shen
email: peixin.shen@outlook.com
orcid: 'https://orcid.org/0000-0003-2761-5083'
identifiers:
- type: doi
value: 10.1103/PhysRevLett.133.086301
repository-code: 'https://github.com/peixinshen/NonHermitianFermiDiracDistributionPersistentCurrent'
license: MIT
date-released: '2024-08-23'
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