Hall and Seebeck coefficients from bi-directional charge density wave state in high-$T_c$ cuprates

The recent discovery of an incipient charge density wave (CDW) instability competing with superconductivity in a class of high temperature cuprate superconductors has brought the role of charge order in the cuprate phase diagram under renewed focus. Here we take a mean field (Q = 2pi/3,2pi/3) bi-axial CDW state and calculate the Fermi surface topology and the resulting Hall and Seebeck coefficients as a function of temperature and hole doping. We show that, in the appropriate doping ranges where the low temperature state (in the absence of superconductivity) is a bi-directional CDW, the Fermi surface consists of electron pockets, resulting in the Hall and Seebeck coefficients becoming negative at low temperatures as seen in experiments.