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arXiv · 2402.00885

TopologicalNumbers.jl: A Julia package for topological number computation

Keisuke Adachi·Minoru Kanega
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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.

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Keisuke Adachi, Minoru Kanega. 2024-01-29. TopologicalNumbers.jl: A Julia package for topological number computation. https://doi.org/10.21105/joss.06944

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