Frustrated quantum criticality and novel magnetic structures in the high-Tc cuprates Christos Panagopoulos Cavendish Laboratory and IRC in Superconductivity, University of Cambridge, Cambridge CB3 0HE, United Kingdom In the first part of the talk I will discuss our studies of the low energy spin and the charge dynamics of several copper oxide superconductors as a function of carrier concentration. I will present evidence for a quantum critical point at optimum doping intercepted by glassy order. The data indicate this is an intrinsic property of doped Mott insulators, and therefore largely independent of material quality. In the latter part of the talk I will present recent results on a doping dependent anisotropic magneto-thermal hysteresis observed well above the superconducting transition temperature (Tc). Detailed low-fieldmagnetisation studies indicate the cause of this hysteresis is due to the presence of magnetic signatures which to a large extend resemble those below Tc. Sorting category: Ba Superconductivity Keywords: superconductivity, quantum criticality INVITED PAPER LT2428