We show that strong electronic repulsion transforms a vortex core from a metallic-type in overdoped regime to a Mott-insulator at underdoping of a strongly correlated d-wave superconductor. This changeover is accompanied by an accumulation of electron density at the vortex core towards local half-filling in the underdoped region, which in turn facilitates the formation of the Mott insulating core. We find that the size of vortices evolves non-monotonically with doping. A similar non-monotonicity of critical field Hc2, as extracted from superfluid stiffness, is also found. Our results explain some recent experimental puzzles of cuprate superconductors.
@article{arxiv.2206.07752,
title = {Enigma of the vortex state in a strongly correlated d-wave superconductor},
author = {Anushree Datta and Hitesh J. Changlani and Kun Yang and Amit Ghosal},
journal= {arXiv preprint arXiv:2206.07752},
year = {2023}
}