Hall effect and symmetry breaking in the nonmagnetic metal LuB12 with dynamic charge stripes

A comprehensive study of magnetoresistance and Hall effect has been performed for the set of the single crystals of nonmagnetic metal $\mathrm{Lu}{\mathrm{B}}₁₂$ with the Jahn-Teller instability of the boron cage and dynamic charge stripes forming along $\ensuremath{\langle}110\ensuremath{\rangle}$ direction. An anomalous positive contribution to Hall effect for a particular direction of magnetic field $\mathbf{H}//[001]$ is found in the single crystals of $\mathrm{Lu}{\mathrm{B}}₁₂$ of the highest quality. This contribution arising at ${T}_{\mathrm{E}}\ensuremath{\sim}150\phantom{\rule{0.16em}{0ex}}\mathrm{K}$ is shown to increase drastically when approaching the disordered ground state below ${T}^*\ensuremath{\sim}60\phantom{\rule{0.16em}{0ex}}\mathrm{K}$. The Hall effect anomaly is shown to appear in combination with the peak of magnetoresistance. The various scenarios allowing for the topology of Fermi surface, anisotropy of relaxation time for charge carriers, and interaction of external magnetic field with the filamentary structure of fluctuating charge stripes are analyzed to explain the features of magnetotransport in this metal with inhomogeneous distribution of electron density. The origin of SdH oscillations, which are observed in this nonequilibrium metal with electron phase separation and strong charge carrier scattering, is discussed.