TopologicalNumbers.jl: A Julia package for topological number computation

TopologicalNumbers.jl is an open-source Julia package designed to calculate topological invariants -mathematical quantities that characterize the properties of materials in condensed matter physics.These invariants, such as the Chern number and the 2 invariant, are crucial for understanding exotic materials like topological insulators and superconductors, which have potential applications in advanced electronics, spintronics, and quantum computing (Hasan & Kane, 2010;Nayak et al., 2008;Qi & Zhang, 2011).This package provides researchers and educators with an easy-to-use and efficient toolset to compute these invariants across various dimensions and symmetry classes, facilitating the exploration and discovery of new topological phases of matter.

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Publication Details

Journal
The Journal of Open Source Software
Published
2025-04-23
DOI
https://doi.org/10.21105/joss.06944
Primary Topic
Topological Materials and Phenomena
Type
article
Field-Weighted Citation Impact
0.00
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article

TopologicalNumbers.jl: A Julia package for topological number computation

Minoru Kanega, Keisuke Adachi
The Journal of Open Source Software
Topological Materials and Phenomena
article

TopologicalNumbers.jl: A Julia package for topological number computation

Minoru Kanega, Keisuke Adachi
article en

Abstract

TopologicalNumbers.jl is an open-source Julia package designed to calculate topological invariants -mathematical quantities that characterize the properties of materials in condensed matter physics.These invariants, such as the Chern number and the 2 invariant, are crucial for understanding exotic materials like topological insulators and superconductors, which have potential applications in advanced electronics, spintronics, and quantum computing (Hasan & Kane, 2010;Nayak et al., 2008;Qi & Zhang, 2011).This package provides researchers and educators with an easy-to-use and efficient toolset to compute these invariants across various dimensions and symmetry classes, facilitating the exploration and discovery of new topological phases of matter.

The Journal of Open Source SoftwareVol. 10(108)
Chiba University (JP), Ibaraki University (JP)
Openalex Percentile: Top 93%
Topological Materials and Phenomena
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TopologicalNumbers.jl: A Julia package for topological number computation — Minoru Kanega, Keisuke Adachi · The Journal of Open Source Software (2025) | TGRS Research Map | TGRS