Abstract
Charge-density-wave implies a periodic modulation of the charge density. Typically observed in metallic systems, charge-density-wave arise from Fermi surface instabilities, resulting in the total or partial gapping of the Fermi surface. Here, we present experimental evidence for a charge-density-wave state emerging in a band insulator which has no Fermi surface. The bulk and surface of our material platform, \({\rm{\alpha }}\)-Bi4Br4, is gapped over the entire Brillouin zone. Through topographic and spectroscopic imaging at low temperatures, we unveil an unexpected unidirectional charge modulation in \({\rm{\alpha }}\)-Bi4Br4, breaking the lattice translation symmetry. The charge-density-wave develops at temperatures below 40 K and adds an energy gap atop the existing insulating gap of \({\boldsymbol{\alpha }}\)-Bi4Br4. Furthermore, our transport measurements reveal nonlinear electrical conduction, a phenomenon conventionally associated with the sliding or phason mode of incommensurate charge-density-waves. These unusual observations represent a different type of charge-density-wave.
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Acknowledgements
We acknowledge illuminating discussions with C. Yoon. M.Z.H. group acknowledges primary support from the US Department of Energy (DOE), Office of Science, National Quantum Information Science Research Centers, Quantum Science Center (at ORNL) and Princeton University; STM Instrumentation support from the Gordon and Betty Moore Foundation (GBMF9461) and the theory work; and support from the US DOE under the Basic Energy Sciences programme (grant number DOE/BES DE-FG-02-05ER46200) for the theory and sample characterization work including ARPES. M.S.H. acknowledges support from Samueli Foundation, and the UCLA Council on Research. L.B. is supported by the United States Department of Energy under the Basic Energy Sciences programme through grant no. DE-SC0002613. The National High Magnetic Field Laboratory acknowledges support from the United States National Science Foundation cooperative agreement grant no. DMR-1644779 and the state of Florida. The crystal growth at the University of Texas at Dallas acknowledges the support by the US Air Force Office of Scientific Research (AFOSR) (FA9550-19-1-0037), National Science Foundation (NSF) (DMREF-2324033 and 2516364) and Office of Naval Research (ONR) (N00014-23-1-2020). T.N. acknowledges support from the Swiss National Science Foundation through a Consolidator Grant (iTQC, TMCG-2_213805). Crystal growth at Beijing Institute of Technology is supported by the National Science Foundation of China (NSFC) (Grant No: 92065109), the National Key R&D Program of China (Grant Nos: 2020YFA0308800, 2022YFA1403400), the Beijing National Laboratory for Condensed Matter Physics (Grant No. 2023BNLCMPKF007), the Zhenjiang Science&Technology Program (Grant No. JC2024003), Y.G.Y. is supported by the National Science Foundation of China (NSFC) (Grant Nos: 12321004, 12234003). Z.W. thanks the Analysis & Testing Center at BIT for assistance in facility support. FZ acknowledges support from the Welch Foundation under Grant No. AT-2264-20250403.
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Hossain, M.S., Liu, W., Zhang, Y. et al. Charge density wave in a band insulator. Nat Commun (2026). https://doi.org/10.1038/s41467-026-71570-1
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DOI: https://doi.org/10.1038/s41467-026-71570-1


