Transport properties of a disordered two-dimensional metal in the vicinity of SDW order: A memory matrix calculation*

We perform the calculation of many transport coefficients as a function of temperature in the “strange-metal” phase that emerges in the vicinity of a SDW phase transition in the presence of weak disorder. This scenario is relevant to the phenomenology of many important correlated materials, such as, e.g., the cuprates and the iron-based superconductors. We implement the memory-matrix approach that allows the calculation of all transport coefficients for the corresponding field-theory model beyond the quasiparticle paradigm. As a result, we are able to obtain here the temperature dependence of the dc resistivity, the Hall angle, the thermal conductivity, the Seebeck coefficient and the Nernst response for a disordered two-dimensional SDW quantum critical theory with an effective composite operator that couples the order-parameter fluctuations to the entire Fermi surface of the system. We argue that our present theory provides a good basis in order to unify the experimental transport data, e.g., of the cuprates, within a wide range of doping regimes.

References:

[1] H. Freire, Annals of Physics 384, 142 (2017).
[2] H. Freire, EPL 118, 57003 (2017).
[3] H. Freire, to appear in EPL (2018).