Strange-metal state in the cuprate superconductors is defined by its T-linear resistivity in a broad range of temperatures. Such behavior is can be understood in the general language of quantum criticality where the intrinsic infrared cutoff energy scale depends on doping and vanishes near critical doping : near critical doping, the strange metal behavior extends to the lowest temperatures.

To explore such quantum critical picture, we have performed an-plane transport — longitudinal and Hall — measurements on LSCO cuprate near critical doping in a broad range of magnetic fields, up to 90 T. The observed temperature and magnetic field dependence of resistivity reveal scale-invariant behavior where temperature and magnetic field compete to set the infrared cutoff of critical fluctuations. Hall resistivity crosses over to a scale-invariant behavior at very high magnetic fields.

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