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Nonlinear Odd Viscoelastic Effect

Ashwat Jain1,*, Wojciech J. Jankowski2,3,†, M. Mehraeen1,‡, and Robert-Jan Slager1,2,§

  • *Contact author: ashwat.jain@postgrad.manchester.ac.uk
  • †Contact author: wjj25@cam.ac.uk
  • ‡Contact author: mandela.mehraeen@manchester.ac.uk
  • §Contact author: robert-jan.slager@manchester.ac.uk
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Phys. Rev. Lett. 137, 036302 – Published 15 July, 2026

DOI: https://doi.org/10.1103/jg6l-gzfr

Abstract

We uncover a class of nonlinear odd viscoelastic effects in three spatial dimensions. We show that these dissipationless effects arise upon combining geometric distortions in two orthogonal directions, yielding momentum flow in the third direction. We demonstrate that the effect arises from nontrivial geometric tensors in quantum states, and can be scaled up with integer topological invariants. We further show that the effect fingerprints the multiband Hilbert-space geometry of the underlying quantum states, as encoded in the nonmetricity and three-state quantum geometric tensors. Our findings unravel the role of multistate geometry in viscoelastic phenomena, paving a path for experimental observation of uncharted nonlinear odd viscoelastic responses in quantum systems.

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Outline

Information

Phys. Rev. Lett. 137, 036302– Published 15 July, 2026
  • Received 4 December 2025
  • Revised 29 April 2026
  • Accepted 11 June 2026
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