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 $\langle 110\rangle$ direction. An anomalous positive contribution to Hall effect for a particular direction of magnetic field $\mathbf{H}//\left[001\right]$ is found in the single crystals of $\mathrm{Lu}{\mathrm{B}}_{12}$ of the highest quality. This contribution arising at $T_{\mathrm{E}}\sim 150\mathrm{K}$ is shown to increase drastically when approaching the disordered ground state below $T^{*}\sim 60\mathrm{K}$. 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.

• Received 4 August 2020
• Revised 30 October 2020
• Accepted 18 December 2020

DOI:https://doi.org/10.1103/PhysRevB.103.035117