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We study the thermoelectric conductivities of a strongly correlated system inthe presence of a magnetic field by the gauge/gravity duality. We consider aclass of Einstein-Maxwell-Dilaton theories with axion fields imposing momentumrelaxation. General analytic formulas for the direct current(DC) conductivitiesand the Nernst signal are derived in terms of the black hole horizon data. Foran explicit model study, we analyse in detail the dyonic black hole modified bymomentum relaxation. In this model, for small momentum relaxation, the Nernstsignal shows a bell-shaped dependence on the magnetic field, which is a featureof the normal phase of cuprates. We compute all alternating current(AC)electric, thermoelectric, and thermal conductivities by numerical analysis andconfirm that their zero frequency limits precisely reproduce our analytic DCformulas, which is a non-trivial consistency check of our methods. We discussthe momentum relaxation effects on the conductivities including cyclotronresonance poles.

Thermoelectric Conductivities at Finite Magnetic Field and the Nernst Effect