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The polymorph of ${\rm 8-Pmmn}$ borophene is an anisotropic Dirac materialwith tilted Dirac cones at two valleys. The tilting of the Dirac cones at twovalleys are in opposite direction, which manifests itself via valley dependentLandau levels in presence of an in-plane electric field (Hall field). Thesensitivity of the Landau levels on valley index causes valley polarizedmagnetotransport properties in presence of a Hall field, which is in contrastto the monolayer graphene with isotropic non-tilted Dirac cones. Thelongitudinal conductivity and Hall conductivity are evaluated by using linearresponse theory in low temperature regime. An analytical approximate form oflongitudinal conductivity is also obtained to reveal how the tilting of theDirac cones affects the frequency of longitudinal conductivity oscillation(Shubnikov-de Hass oscillation). On the other hand, Hall conductivity exhibitsgraphene-like plateau excepts the appearance of valley dependent steps which ispurely attributed to the Hall field induced lifting valley degeneracy in Landaulevels. Another noticeable point is that if the real magnetic field is replacedby the strain induced pseudo magnetic field then the electric field looses itsability to cause valley polarized transport.

Magnetotransport properties of 8-Pmmn borophene: effects of Hall field and strain