Anomalous isotopic effect near the charge-ordering quantum criticality
Abstract
Within the Hubbard-Holstein model, we evaluate the various crossover lines marking the opening of pseudogaps in the cuprates. We provide an analysis of their isotopic dependencies, which are ruled by the proximity to a quantum critical point due to a charge-ordering instability around optimal doping. We find no isotopic shift for the pseudogap temperature T^0 (observed in transport, Knight-shift, and static susceptibility experiments) and for the superconducting T_c in optimally and overdoped compounds. For the underdoped materials there can be substantial effects on T^*, which are opposite in sign with respect to T_c. The possible dynamical nature of the charge-order transition explains the spread of the values of T^* obtained with experimental probes having different typical timescales.Keywords
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