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Finding Hidden Order in Spin Models with Persistent Homology by Olsthoorn, Bart; Hellsvik, Johan; Balatsky, Alexander V. is a scholarly article available to read on EtoBox.

What is Finding Hidden Order in Spin Models with Persistent Homology about?

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.

Author

Olsthoorn, Bart; Hellsvik, Johan; Balatsky, Alexander V.

Published

2020

Language

EN