Quantum spin Hall insulators are a class of topological materials that has been extensively studied during the past decade. One of their distinctive features is the presence of a finite band gap in the bulk and gapless, topologically protected edge states that are spin-momentum locked. These materials are characterized by a ${\mathbb{Z}}_2$ topological order where, in the two-dimensional case, a single topological invariant can be even or odd for a trivial or a topological material, respectively. Thanks to their interesting properties, such as the realization of dissipationless spin currents, spin pumping, and spin filtering, they are of great interest in the field of electronics, spintronics, and quantum computing. In this work we perform a high-throughput screening of quantum spin Hall insulators starting from a set of 783 two-dimensional exfoliable materials, recently identified from a systematic screening of the Inorganic Crystal Structure Database, Crystallography Open Database, and Materials Platform for Data Science databases. We find four ${\mathbb{Z}}_2$ topological insulators and seven direct gap metals that have the potential of becoming quantum spin Hall insulators under a reasonably weak external perturbation.

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• Band gap
• Electronic structure of atoms & molecules
• First-principles calculations
• Spin-orbit coupling
• Symmetry protected topological states
• Topological insulators
• Topological materials
• Band structure methods
• Density functional theory
• Electronic structure
• High-throughput calculations
• Symmetries