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Unlike classical fluids, a quantum Fermi liquid can support a long-lived andpropagating shear sound wave at arbitrarily small wave vectors and frequencies,reminiscent of the transverse sound in crystals, despite lacking any form oflong-range crystalline order. This mode is expected to be present in moderatelyinteracting metals where the quasiparticle mass is renormalized to be more thantwice the bare mass in two dimensions (2D), but it has remained undetectedbecause it is hard to excite since it does not involve charge densityfluctuations, in contrast to the conventional plasma mode. In this work wepropose a strategy to excite and detect this unconventional mode in cleanmetallic channels. We show that the shear sound is responsible for theappearance of sharp dips in the ac conductance of narrow channels at resonantfrequencies matching its dispersion. The liquid resonates while minimizing itsdissipation in an analogous fashion to a sliding crystal. Ultra-clean 2Dmaterials that can be tuned towards the Wigner crystallization transition suchas silicon metal-oxide-semiconductor field-effect transistors, MgZnO/ZnO,p-GaAs, and AlAs quantum wells are promising platforms to experimentallydiscover the shear sound.

Quantum Paracrystalline Shear Modes of the Electron Liquid