Two-dimensional topological semimetals

Abstract

The field of two-dimensional topological semimetals, which emerged at the intersection of two-dimensional materials and topological materials, have been rapidly developing in recent years. In this article, we briefly review the progress in this field. Our focus is on the basic concepts and notions, in order to convey a coherent overview of the field. Some material examples are discussed to illustrate the concepts. We discuss the outstanding problems in the field that need to be addressed in future research.

arXiv comment14 pages, 23 figures

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• Encyclopedia of emergent particles in 528 magnetic layer groups and 394 magnetic rod groups
• Monolayer and bilayer PtCl${}_3$: Energetics, magnetism, and band topology
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• Cataloging topological phases of $N$-stacked Su-Schrieffer-Heeger chains by a systematic breaking of symmetries
• Plasmons in a two-dimensional nonsymmorphic nodal-line semimetal
• Anyonic Defect Branes and Conformal Blocks in Twisted Equivariant Differential (TED) K-theory
• Topological phonons in arrays of ultracold dipolar particles
• Electronic structures near unmovable nodal points and lines in two-dimensional materials