Thermal and thermoelectric conductivity of Einstein-DBI system

Abstract

AbstractWe calculate the thermoelectric and thermal conductivity of Einstein-DBI system without the translational symmetry. We show that strictly, the longitudinal component of the thermal conductivity in the vanishing dissipation limit, $$k^2\rightarrow 0$$k2→0, is determined only by the metric components evaluated at the horizon of the black hole in the same limit. The temperature dependence of the transport quantities are obtained for $$AdS_4$$AdS4 and $$AdS_2\times R^2$$AdS2×R2 solutions. The Lorentz ratio and Hall–Lorentz ratio are found to be independent of temperature for $$AdS_4$$AdS4 solution in the low temperature limit, whereas the above mentioned quantities are independent of temperature for $$AdS_2\times R^2$$AdS2×R2 solution.