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Rapidity-odd directed flow in heavy ion collisions can originate from twovery distinct sources in the collision dynamics i. an initial tilt of thefireball in the reaction plane that generates directed flow of the constituentsindependent of their charges, and ii. the Lorentz force due to the strongprimordial electromagnetic field that drives the flow in opposite directionsfor constituents carrying unlike sign charges. We study the directed flow ofopen charm mesons $D^0$ and $\overline{D^0}$ in the presence of both thesesources of directed flow. The drag from the tilted matter dominates over theLorentz force resulting in same sign flow for both $D^0$ and $\overline{D^0}$,albeit of different magnitudes. Their average directed flow is about ten timeslarger than their difference. This charge splitting in the directed flow is asensitive probe of the electrical conductivity of the produced medium. Wefurther study their beam energy dependence; while the average directed flowshows a decreasing trend, the charge splitting remains flat from$\sqrt{s_{NN}}=60$ GeV to $5$ TeV.

Interplay of drag by hot matter and electromagnetic force on the directed flow of heavy quarks