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Using a diagrammatic scheme, we study the acoustoelectric effects intwo-dimensional (2D) hexagonal Dirac materials due to the sound-inducedpseudo-gauge field. We analyze both uniform and {\em spatially dispersive}currents in response to copropagating and counterpropagating sound waves,respectively. In addition to the longitudinal acoustoelectric current, weobtain an exotic {\em transverse} charge current flowing perpendicular to thesound propagation direction owing to the interplay of transverse andlongitudinal gauge field components $j_T\propto A_L A^\ast_T$. In contrast tothe almost isotropic directional profile of the longitudinal uniform current, ahighly anisotropic transverse component $j_T\sim\sin(6\theta)$ is achieved thatstems from the inherited three-fold symmetry of the hexagonal lattice. However,both longitudinal and transverse parts of the dispersive current are predictedto be strongly anisotropic $\sim\sin^2(3\theta)$ or $\cos^2(3\theta)$. Wequantitatively estimate the pseudogauge field contribution to theacoustoelectric current that can be probed in future experiments in grapheneand other 2D hexagonal Dirac materials.

Pseudogauge field driven acoustoelectric current in two-dimensional hexagonal Dirac materials