Satisfaction of Kohler's rule in the pseudogap phase of the high-temperature superconductor HgBa$_2$CuO$_{4+\delta}$

We report on the temperature and magnetic field evolution of the planar resistivity in the simple tetragonal high-temperature superconductor HgBa$_2$CuO$_{4+\delta}$ (Hg1201). Counter to the longstanding view that Kohler's rule is universally strongly violated in the cuprates, we find that it is in fact satisfied in the pseudogap state. The magnetoresistance shows a $T^{-4}$ temperature dependence which, in conjunction with previous work demonstrating $\rho\propto T^2$ [1] as well as quadratic temperature and frequency dependence of the dynamical relaxation rate [2], is indicative of a Fermi-liquid quasiparticle scattering in the pseudogap phase of Hg1201. [1] N. Bari\v{s}i\'c et al., Proc. Natl. Acad. Sci. US 110, 12235 (2013). [2] S.I. Mirzaei et al., Proc. Natl. Acad. Sci. US 110, 5774 (2013)