Nonlinear Odd Viscoelastic Effect
arXiv:2511.22706 · doi:10.1103/jg6l-gzfr
The paper discovers a new class of dissipationless, nonlinear odd viscoelastic responses in three‑dimensional quantum systems, where combined distortions in two orthogonal directions produce momentum flow in the third, and links this effect to geometric tensors and topological invariants of multiband states.
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.
8+6 pages, 3 figures