D-XY Critical Behavior in Cuprate Superconductors

Abstract

We outline the universal and finite temperature critical properties of the 3D-XY model, extended to anisotropic extreme type-II superconductors, as well as the universal quantum critical properties in 2D. On this basis we review: (i) the mounting evidence for 3D-XY behavior in optimally doped cuprate superconductors and the 3D to 2D crossover in the underdoped regime; (ii) the finite size limitations imposed by inhomogeneities; (iii) the experimental evidence for a 2D-XY quantum critical point in the underdoped limit, where the superconductor to insulator transition occurs; (iv) the emerging implications and constraints for microscopic models.

5 pages, 6 figures

References in corpus (2)

• 3D-XY critical fluctuations of the thermal expansivity in detwinned YBa2Cu3O7-d single crystals near optimal doping
• Magnetic Field induced Dimensional Crossover Phenomena in Cuprate Superconductors and their Implications

Cited by in corpus (5)

• Absence of gross inhomogeneity in HTS cuprates
• Probing inhomogeneities in type II superconductors by means of thermal fluctuations, magnetic fields and isotope effects
• Lieb-Robinson bounds with dependence on interaction strengths
• Diamagnetism, Nernst signal, and finite size effects in superconductors above the transition temperature
• Magnetic field induced finite size effect in type-II superconductors