Measuring hall viscosity of graphene's electron fluid

A. I. Berdyugin, S. G. Xu, F. M.D. Pellegrino, R. Krishna Kumar, A. Principi, I. Torre, M. Ben Shalom, T. Taniguchi, K. Watanabe, I. V. Grigorieva, M. Polini, A. K. Geim*, D. A. Bandurin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


An electrical conductor subjected to a magnetic field exhibits the Hall effect in the presence of current flow. Here, we report a qualitative deviation from the standard behavior in electron systems with high viscosity. We found that the viscous electron fluid in graphene responds to nonquantizing magnetic fields by producing an electric field opposite to that generated by the ordinary Hall effect. The viscous contribution is substantial and identified by studying local voltages that arise in the vicinity of current-injecting contacts. We analyzed the anomaly over a wide range of temperatures and carrier densities and extracted the Hall viscosity, a dissipationless transport coefficient that was long identified theoretically but remained elusive in experiments.

Original languageEnglish
Pages (from-to)162-165
Number of pages4
Issue number6436
StatePublished - 2019
Externally publishedYes


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