Hall effect and symmetry breaking in the nonmagnetic metal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>Lu</mml:mi><mml:msub><mml:mi mathvariant="normal">B</mml:mi><mml:mn>12</mml:mn></mml:msub></mml:mrow></mml:math> with dynamic charge stripes

A comprehensive study of magnetoresistance and Hall effect has been performed for the set single crystals non-magnetic metal LuB12 with Jahn-Teller instability boron cage dynamic charge stripes forming along <110> direction. Anomalous positive contribution to particular direction magnetic field H//[001] is found in highest quality. This arising at T~ 150 K shown increase drastically when approaching disordered ground state below 60 K. The anomaly appear combination peak magnetoresistance. various scenarios allowing topology Fermi surface, anisotropy relaxation time carriers filamentary structure fluctuating are proposed explain features magnetotransport this inhomogeneous distribution electron density. origin SdH oscillations, which observed non-equilibrium phase separation strong carrier scattering, discussed.