Valley filtering in strain-induced <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>α</mml:mi><mml:mtext>−</mml:mtext><mml:msub><mml:mi mathvariant="script">T</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:mrow></mml:math> quantum dots

We test the valley-filtering capabilities of a quantum dot inscribed by locally straining an $\alpha$-$\mathcal{T}_3$ lattice. Specifically, we consider out-of-plane Gaussian bump in center four-terminal configuration and calculate generated pseudomagnetic field having opposite direction for electrons originating from different valleys, resulting valley-polarized currents, conductance between injector collector situated one another. Depending on dot's width width-to-height ratio, detect transport regimes with without valley filtering both dice lattice structures. In addition, analyze essence resonances high polarization terms related (pseudo-) Landau levels, spatial distribution local density states, current densities. The observed charge patterns reflect inversion symmetry breaking strain, besides global due to scaling parameter $\alpha$. By this way can also filter out sublattices.