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We show that the continuum limit of the tilted Dirac cone in materials suchas $8Pmmn$-borophene and layered organic conductor $\alpha$-(BEDT-TTF)$_2$I$_3$deformation of the Minkowski spacetime of Dirac materials. From its Killingvectors we construct an emergent tilted-Lorentz (t-Lorentz) symmetry group forsuch systems. With t-Lorentz transformations we are able to obtain the exactsolution of the Landau bands for a crossed configuration of electric andmagnetic fields. For any given tilt parameter $0\le\zeta<1$ if the ratio$\chi=v_FB_z/cE_y$ of the crossed magnetic and electric fields that satisfies$\chi\ge 1+\zeta$ one can always find appropriate t-boosts in both valleyslabeled by $\pm$ in such a way the electric field can be t-boosted away,whereby the resulting pure effective magnetic field $B^\pm_z$ governs theLandau level spectrum around each valley. The effective magnetic field in oneof the valleys is always larger than the applied perpendicular magnetic field.This amplification comes at the expense of of diminishing the effective fieldin the opposite valleyand can be detected in various quantum oscillationphenomena in tilted Dirac cone systems. Tuning the ratio of electric andmagnetic fields to $\chi_{\rm min}=1+\zeta$ leads to valley selective collapseof Landau levels. Our geometric description of the tilt in Dirac systemsreveals an important connection between the tilt and an incipient "rotatingsource" when the tilt parameter can be made to depend on spacetime in certainway.

Electric field assisted amplification of magnetic fields in tilted Dirac cone systems