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Condensed Matter > Mesoscale and Nanoscale Physics

arXiv:2402.00885v2 (cond-mat)
[Submitted on 29 Jan 2024 (v1) , last revised 27 Apr 2025 (this version, v2)]

Title: TopologicalNumbers.jl: A Julia package for topological number computation

Title: TopologicalNumbers.jl:用于拓扑数计算的 Julia 包

Authors:Keisuke Adachi, Minoru Kanega
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 $\mathbb{Z}_2$ invariant, are crucial for understanding exotic materials like topological insulators and superconductors, which have potential applications in advanced electronics, spintronics, and quantum computing. 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.
Abstract: `TopologicalNumbers.jl` 是一个开源的 Julia 包,旨在计算拓扑不变量,这些数学量用于表征凝聚态物理学中材料的性质。 这些不变量,如 Chern 数和 $\mathbb{Z}_2$ 不变量,在理解诸如拓扑绝缘体和超导体等奇异材料方面至关重要,这类材料在先进电子学、自旋电子学和量子计算等领域具有潜在应用价值。 该包为研究人员和教育工作者提供了一套易于使用且高效的工具集,可以跨多种维度和对称类计算这些不变量,从而促进对新拓扑物质相的探索与发现。
Comments: 5 pages, User feedback is appreciated (Issues/Pull requests), GitHub repository: https://github.com/KskAdch/TopologicalNumbers.jl
Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ; Materials Science (cond-mat.mtrl-sci)
Cite as: arXiv:2402.00885 [cond-mat.mes-hall]
  (or arXiv:2402.00885v2 [cond-mat.mes-hall] for this version)
  https://doi.org/10.48550/arXiv.2402.00885
arXiv-issued DOI via DataCite
Journal reference: Journal of Open Source Software, 10, 6944 (2025)
Related DOI: https://doi.org/10.21105/joss.06944
DOI(s) linking to related resources

Submission history

From: Minoru Kanega [view email]
[v1] Mon, 29 Jan 2024 08:28:53 UTC (5 KB)
[v2] Sun, 27 Apr 2025 04:22:19 UTC (9 KB)
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