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+title: "Prediction of topological quantum phase transitions"
+logicalPath: "/data/shared/tutorialsNew/topological-quantum-phases/QSHI_trivial.bkr"
+authors: ["Ahmetcik, Emre", "Ziletti, Angelo", "Ouyang, Runhai", "Ghiringhelli, Luca", "Scheffler, Matthias"]
+editLink: "/notebook-edit/data/shared/tutorialsNew/topological-quantum-phases/QSHI_trivial.bkr"
+isPublic: true
+username: "tutorialsNew"
+description: >
+  This tutorial shows how to find descriptive parameters (short formulas) for the prediction of
+  topological phase transitions. As an example, we address the topological classification of
+  two-dimensional functionalized honeycomb-lattice materials, which are formally described by
+  the $Z_2$ topological invariant, i.e., $Z_2=0$ for trivial (normal) insulators and $Z_2=1$ for two-dimensional
+  topological insulators (quantum spin Hall insulators).
+  Using a recently developed machine learning based on compressed sensing, we then derive a map of
+  these materials, in which metals, trivial insulators, and quantum spin Hall insulators are separated
+  in different spatial domains.
+  The axes of this map are given by a physically meaningful descriptor, i.e., a non-linear analytic
+  function that only depends on the properties of the material's constituent atoms, but not on the properties
+  of the material itself.
+  The method is based on the algorithm sure independence screening and sparsifying operator (SISSO),
+  which enables to search for optimal descriptors by scanning huge feature spaces.
+
+created_at: "2017-11-13T13:56:28.375Z"
+updated_at: "2017-11-13T13:56:28.375Z"
+user_update: "2018-01-30"
+top_of_list: false
+featured: true
+labels:
+  category: ["Demo"]
+  platform:  ["beaker"]
+  language:  ["python", "javascript"]
+  data_analytics_method: ["Compressed Sensing", "SISSO"]
+  application_section: ["Materials property prediction"]
+  application_keyword: ["Qunatum Phase", "Topological insulator", "Classification"]
+  visualization: ["NOMAD viewer"]
+  reference: ["https://arxiv.org/abs/1710.03319"]