Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Generic character of charge and spin density waves in superconducting cuprates



Sangjun Lee, Edwin Huang, Thomas Johnson, Xuefei Guo, Ali Husain, Matteo Mitrano, Kannan Lu, Alexander Zakrzewski, Gilberto de la Pena, Yingying Peng, Hai Huang, Sang-Jun Lee, Hoyoung Jang, Jun-Sik Lee, Young Joe, W.Bertrand (Randy) Doriese, Paul Szypryt, Daniel Swetz, Songxue Chi, Adam Aczel, Gregory MacDougall, Steven Kivelson, Eduardo Fradkin, Peter Abbamonte


Charge density waves (CDWs) have been observed in nearly all families of copper-oxide superconductors. But the behavior of these phases across different families has been perplexing. In La-based cuprates, the CDW wavevector is an increasing function of doping, exhibiting the so-called Yamada behavior, while in Y- and Bi-based materials the behavior is the opposite. Here, we report a combined resonant soft X-ray scattering (RSXS) and neutron scattering study of charge and spin density waves in isotopically enriched La1.8−xEu0.2SrxCuO4 over a range of doping 0.07≤x≤0.20. We find that the CDW amplitude is temperature independent and develops well above experimentally accessible temperatures. Further, the CDW wavevector shows a nonmonotonic temperature dependence, exhibiting Yamada behavior at low temperature with a sudden change occurring near the spin ordering temperature. We describe these observations using a Landau–Ginzburg theory for an incommensurate CDW in a metallic system with a finite charge compressibility and spin-CDW coupling. Extrapolating to high temperature, where the CDW amplitude is small and spin order is absent, our analysis predicts a decreasing wavevector with doping, similar to Y and Bi cuprates. Our study suggests that CDW order in all families of cuprates forms by a common mechanism.
Proceedings of the National Academy of Sciences


Lee, S. , Huang, E. , Johnson, T. , Guo, X. , Husain, A. , Mitrano, M. , Lu, K. , Zakrzewski, A. , de la Pena, G. , Peng, Y. , Huang, H. , Lee, S. , Jang, H. , Lee, J. , Joe, Y. , Doriese, W. , Szypryt, P. , Swetz, D. , Chi, S. , Aczel, A. , MacDougall, G. , Kivelson, S. , Fradkin, E. and Abbamonte, P. (2022), Generic character of charge and spin density waves in superconducting cuprates, Proceedings of the National Academy of Sciences, [online],, (Accessed June 16, 2024)


If you have any questions about this publication or are having problems accessing it, please contact

Created April 4, 2022, Updated January 25, 2023