Thermoelectric transport near pair breaking quantum phase transition out of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math>-wave superconductivity

We study electric, thermal, and thermoelectric conductivities in the vicinity\nof a z=2 superconductor-diffusive metal transition in two dimensions, both in\nthe high and low frequency limits. We find violation of the Wiedemann-Franz law\nand a dc thermoelectric conductivity $\\alpha$ that does not vanish at low\ntemperatures, in contrast to Fermi liquids. We introduce a Langevin equation\nformalism to study critical dynamics over a broad region surrounding the\nquantum critical point.\n