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The study of the intricate interplay of electron correlation and topology is crucial for discovering new quantum states and phase transitions, such as the fractional quantum spin Hall effect and topological superconductors. In contrast with conventional linear electrical transport, nonlinear electrical response, which encompasses both symmetry and topological information remains largely unexplored in systems with electron correlation and topology. Here, we discover a correlated state in the few-layer topological semimetal TaIrTe4, using a phase diagram probed by the nonlinear Hall effect. Such a new state, characterized by giant nonlinearity, is attributed to the formation of a charge density wave (CDW) in topological semimetal, as evidenced by observations including Raman amplitude mode of the CDW, enhanced second harmonic generation and symmetry analysis in nonlinear Hall effect. The first-principles calculations elucidate the giant nonlinear response, resulting from the formation of CDW and the associated redistributed Berry curvature. Our findings open a new pathway to explore rich phase diagrams by electrical nonlinearity and pave the way for developing nonlinear electronics on correlated topological materials.

Rights:

• Creative Commons BY-NC-ND Attribution-NonCommercial-NoDerivs 4.0 International
  

Keyword: nonlinear Hall effect
, TaIrTe4
, electron correlation

Date published: 2025-07-10

Publisher: Springer Science and Business Media LLC

Journal:

• Nature Communications (ISSN: 20411723) vol. 16 issue. 1 6351

Funding:

• U.S. Department of Energy DE-SC0024176

Manuscript type: Publisher's version (Version of record)

MDR DOI:

First published URL: https://doi.org/10.1038/s41467-025-61347-3

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Updated at: 2026-05-18 09:59:27 +0900

Published on MDR: 2026-05-18 12:23:11 +0900