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Non-Hermitian Mott skin effect

Tsuneya Yoshida1*, Song-bo Zhang2*, Titus Neupert3*

1 Department of Physics, Kyoto University, Kyoto 606-8502, Japan

2 International Center for Quantum Design of Functional Materials (ICQD), University of Science and Technology of China, Hefei, Anhui 230026, China

3 Department of Physics, University of Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland

* Corresponding authors emails: yoshida.tsuneya.2z@kyoto-u.ac.jp, songbozhang@ustc.edu.cn, titus.neupert@uzh.ch
DOI10.24435/materialscloud:ta-hg [version v1]

Publication date: Dec 26, 2024

How to cite this record

Tsuneya Yoshida, Song-bo Zhang, Titus Neupert, Non-Hermitian Mott skin effect, Materials Cloud Archive 2024.210 (2024), https://doi.org/10.24435/materialscloud:ta-hg

Description

This file contains all the data, as well as the code necessary to reproduce the exact diagonalization calculations in Phys. Rev. Lett. 133, 076502 (2024) in which the phenomenon of a non-Hermitian Mott skin effect is introduced theoretically. Skin effects are a key differentiating feature of (one-dimensional) non-Hermitian systems, and are characterized by the exponential accumulation of charge towards one side of the system in all its eigenstates. It appears in noninteracting systems. This work finds a novel analogous effect which is specific to interacting quantum particles, where the particle density is constant, but a flavour/spin degree of freedom shows the exponential localization. This is demonstrated with exact diagonalization calculations of the non-Hermitian many-body Hamiltonian as well as the time-evolution of the Lindbladian.

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Files

File name Size Description
MottSkinData-2.tar
MD5md5:8931872b9075c4d663b3b14a30040f31
95.5 MiB archive with all the code and data to produce the figures in the published article
README.txt
MD5md5:990e7dd59c4c0a072151b7b5e46eed64
34.4 KiB Readme file for Zip archive explaining the file structure

License

Files and data are licensed under the terms of the following license: Creative Commons Attribution 4.0 International.
Metadata, except for email addresses, are licensed under the Creative Commons Attribution Share-Alike 4.0 International license.

External references

Journal reference
T. Yoshida, S. Zhang, T. Neupert, N. Kawakami, Phys. Rev. Lett., 133,076502 (2024) doi:https://doi.org/10.1103/PhysRevLett.133.076502

Keywords

Exact diagonalization Skin effect Mott insulators Non-Hermitian systems Correlated electron systems

Version history:

2024.210 (version v1) [This version] Dec 26, 2024 DOI10.24435/materialscloud:ta-hg