The giant magnetoresistance with a huge hysteresis is observed in the organic metal $\kappa$-(BEDT-TTF)${}_2{\mathrm{Hg}\left(\mathrm{SCN}\right)}_2\mathrm{Br}$ at low temperature in a pressure interval around $3\mathrm{kbar}$ of a width $\sim 1\mathrm{kbar}$. The hysteretic magnetoresistance is isotropic with respect to the direction of magnetic field, which excludes the orbital effect of magnetic field as its origin. The observed temperature and magnetic-field dependence of this hysteresis and of its relaxation time indicates the strong influence of the spin-glass state on magnetoresistance. Although a quantitative theory of this effect, originating from strong electronic correlations, requires complex numerical calculations, we suggest its explanation and a simple model which qualitatively describes the observed magnetoresistance behavior and shows a strong charge-spin entanglement. The proposed effect suggests another class of extreme magnetoresistance mechanisms.

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• Dynamical phase transitions
• Electrical conductivity
• Electronic structure
• Fermi surface
• High magnetic fields
• Magnetic phase transitions
• Magnetotransport
• Quantum phase transitions
• Spin dynamics