Strain-induced pseudo magnetic field in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>?</mml:mi><mml:mo>?</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:math> lattice

We investigate the effects of nonuniform uniaxial strain and triaxial on $\ensuremath{\alpha}\text{\ensuremath{-}}{T}_{3}$ lattice. The analytical expressions pseudo-Landau levels (pLLs) are derived based low-energy Hamiltonians, verified by tight-binding calculations. find that pseudo magnetic field leads to oscillating density states, first pLL is sublattice polarized, which distributed only two three sets sublattices. For strain, we show pLLs become dispersive due renormalization Fermi velocity, a valley polarized current emerges. Our results generalize study fields lattice, will not deepen understanding intriguing mechanical strains but also provide theoretical foundation for possible experimental studies