Topology and geometry under the nonlinear electromagnetic spotlight

Ma, Qiong; Grushin, Adolfo G.; Burch, Kenneth S.

doi:10.1038/s41563-021-00992-7

Topology and geometry under the nonlinear electromagnetic spotlight

Journal Article · Mon Jun 14 00:00:00 EDT 2021 · Nature Materials

DOI:https://doi.org/10.1038/s41563-021-00992-7· OSTI ID:1817667

^[1]; ^[2]; ^[3]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Boston College, Chestnut Hill, MA (United States)
Univ. Grenoble Alpes, Grenoble (France). CNRS, Inst. Neel
Boston College, Chestnut Hill, MA (United States)

For many materials, a precise knowledge of their dispersion spectra is insufficient to predict their ordered phases and physical responses. Instead, these materials are classified by the geometrical and topological properties of their wavefunctions. A key challenge is to identify and implement experiments that probe or control these quantum properties. In this Review, we describe recent progress in this direction, focusing on nonlinear electromagnetic responses that arise directly from quantum geometry and topology. Furthermore, we give an overview of the field by discussing theoretical ideas, experiments and the materials that drive them. We conclude by discussing how these techniques can be combined with device architectures to uncover, probe and ultimately control quantum phases with emergent topological and correlated properties.

View Accepted Manuscript (DOE)

Research Organization:: Ames Laboratory (AMES), Ames, IA (United States)

Sponsoring Organization:: European Research Council (ERC); French National Research Agency (ANR); USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC02-07CH11358; SC0018675

OSTI ID:: 1817667

Report Number(s):: IS--J 10,530

Journal Information:: Nature Materials, Journal Name: Nature Materials Vol. 20; ISSN 1476-1122

Publisher:: Springer Nature - Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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