Isotope effects in underdoped cuprate superconductors: a quantum phenomenon

Details Isotope effects in underdoped cuprate superconductors: a quantum phenomenon Isotope effects in underdoped cuprate superconductors: a quantum phenomenon

2000-11-22

arxiv.org/abs/cond-mat/0011381v1

Physics

Condensed Matter

Superconductivity

6 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.86.4899

We show that the unusual doping dependence of the isotope effects on transition temperature and zero temperature in - plane penetration depth naturally follows from the doping driven 3D-2D crossover, the 2D quantum superconductor to insulator transition (QSI) in the underdoped limit and the change of the relative doping concentration upon isotope substitution. Close to the QSI transition both, the isotope coefficient of transition temperature and penetration depth approach the coefficient of the relative dopant concentration, and its divergence sets the scale. These predictions are fully consistent with the experimental data and imply that close to the underdoped limit the unusual isotope effect on transition temperature and penetration depth uncovers critical phenomena associated with the quantum superconductor to insulator transition in two dimensions.

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