Charge modulation in the background of depleted superconductivity inside vortices

TL;DR

This paper uses a microscopic approach to study vortex structures in strongly correlated d-wave superconductors, revealing how charge and bond orders influence vortex core properties in the underdoped regime.

Contribution

It introduces a Gutzwiller formalism-based microscopic investigation of vortex lattice effects in strongly correlated superconductors, highlighting the role of subdominant orders.

Findings

Vortex core transitions from metallic to insulating with subdominant orders.

Charge and bond modulations form at vortex centers in underdoped regions.

Subdominant orders significantly alter vortex structure and spectrum.

Abstract

We use the Bogoliubov-de Gennes (BDG) formalism to undertake a microscopic investigation of a vortex lattice in a strongly correlated, type-II, d-wave superconductor (SC) treating strong correlation within Gutzwiller formalism. We demonstrate that in the underdoped region, the vortex core changes from metallic-type to insulating-type in the presence of subdominant charge and bond order, in contrast to Mott-type, when these orders are absent. We have investigated that such subdominant order changes the structure and spectrum of the d-wave vortex in the underdoped region. We have demonstrated the formation of charge and bond modulation at the vortex center by decreasing the doping and reaching an underdoped zone.