NewMagnetic-Field-InducedMacroscopicQuantumPhenomenon in High-Tc Cuprates: Confined Field-Induced DensityWaves in the Superconducting State

We reveal a novel macroscopic quantum phenomenon induced by a magnetic field. It corresponds to the non-integer quantization of the superfluid density in a superconductor with gap nodes due to the generation of confined fieldinduced density waves (CFIDW) over a portion of the Fermi surface (FS). The Landau numbers L are not sufficient to index these macroscopic quantum states and new quanrum numbers ζ must be added. Distinct qualitative implications of this |L, ζ > quantization are evident in a number of puzzling experiments in high-Tc cuprates including the plateaus behavior in the field profile of thermal conductivity, field induced magnetic moments, charge textures around the vortices, and field induced vortex-solid to cascade vortex glass transitions.