Revealing the phase diagram of Kitaev materials by machine learning: Cooperation and competition between spin liquids

Liu, Ke; Sadoune, Nicolas; Rao, Nihal; Greitemann, Jonas und Pollet, Lode (2021): Revealing the phase diagram of Kitaev materials by machine learning: Cooperation and competition between spin liquids. In: Physical Review Research, Bd. 3, Nr. 2, 23016

Abstract

Kitaev materials are promising materials for hosting quantum spin liquids and investigating the interplay of topological and symmetry-breaking phases. We use an unsupervised and interpretable machine-learning method, the tensorial-kernel support vector machine, to study the honeycomb Kitaev-Gamma model in a magnetic field. Our machine learns the global classical phase diagram and the associated analytical order parameters, including several distinct spin liquids, two exotic S3 magnets, and two modulated S-3 x Z(3) magnets. We find that the extension of Kitaev spin liquids and a field-induced suppression of magnetic order already occur in the large-S limit, implying that critical parts of the physics of Kitaev materials can be understood at the classical level. Moreover, the two S-3 x Z(3) orders are induced by competition between Kitaev and Gamma spin liquids and feature a different type of spin-lattice entangled modulation, which requires a matrix description instead of scalar phase factors. Our work provides a direct instance of a machine detecting new phases and paves the way towards the development of automated tools to explore unsolved problems in many-body physics.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• Sprache: Englisch