Supporting data for spectral rigidity of non-Hermitian symmetric random matrices near the Anderson transition

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Persistent link to this item

https://doi.org/10.13020/5rj1-zz56
https://hdl.handle.net/11299/216919

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Keywords

Non-Hermitian

Anderson localization

Spectral rigidity

Collection period

2020-06-01
2020-07-01

Date completed

2020-07-01

Date updated

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Journal Title

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Volume Title

Title

Supporting data for spectral rigidity of non-Hermitian symmetric random matrices near the Anderson transition

Published Date

2020-10-27

Authors

Shklovskii, Boris, I

Huang, Yi

Group

Materials Research Science & Engineering Center

Author Contact

Shklovskii, Boris, I
shklo001@umn.edu

Type

Dataset
Simulation Data

Abstract

We numerically calculate the number variance in the three dimensional TME model and study the evolution of the number variance as a function of average number of eigenvalues with different disorder parameters as the system goes from a metal to an insulator. We use statistics of complex eigenvalues obtained by diagonalization of the TME model on many realizations of cubic lattices with side length L = 8,12,16. The diagonalization is done using LAPACK algorithm. The TME model may be used to describe a random laser.

Description

The set of data required to produce the plot of number variance of eigenvalues inside disks in the complex plane.

Referenced by

Huang, Yi; Shklovskii, B. Spectral Rigidity of Non-Hermitian Symmetric Random Matrices Near the Anderson Transition. Physical review. B 2020, 102 (6).
https://doi.org/10.1103/PhysRevB.102.064212

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CC0 1.0 Universal
http://creativecommons.org/publicdomain/zero/1.0/

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Data Repository for U of M (DRUM)
MRSEC Research Data

Funding information

Sponsorship: University of Minnesota Materials Science Research and Engineering Center Award No. DMR-2011401

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Previously Published Citation

Suggested citation

Shklovskii, Boris, I; Huang, Yi. (2020). Supporting data for spectral rigidity of non-Hermitian symmetric random matrices near the Anderson transition. Retrieved from the Data Repository for the University of Minnesota (DRUM), https://doi.org/10.13020/5rj1-zz56.

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