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arXiv · 2009.05141

Finding hidden order in spin models with persistent homology

Bart Olsthoorn·Johan Hellsvik·Alexander V. Balatsky
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Abstract

Persistent homology (PH) is a relatively new field in applied mathematics that studies the components and shapes of discrete data. In this work, we demonstrate that PH can be used as a universal framework to identify phases in spin models, including hidden order such as spin nematic ordering and spin liquids. By converting a small number of spin configurations to barcodes we obtain a descriptive picture of configuration space. Using dimensionality reduction to reduce the barcode space to color space leads to a visualization of the phase diagram.

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Bart Olsthoorn, Johan Hellsvik, Alexander V. Balatsky. 2020-09-10. Finding hidden order in spin models with persistent homology. https://doi.org/10.1103/physrevresearch.2.043308

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