Vortex structure in a $d$-wave superconductor obtained by a confinement transition from the pseudogap metal

Abstract

We compute the structure of flux $h/(2e)$ vortices in a d-wave superconductor which emerges from a higher temperature pseudogap metal. Such a transition is described by a continuum theory of the Higgs condensation of 2 flavors of charge $e$ bosons which are fundamentals of an emergent SU(2) gauge field. Period-2 charge order is present near the vortex center. Upon coupling the electrons to the superconducting and charge order parameters, we find that the electronic local density of states does not have a zero-bias peak, in contrast to BCS theory. But there are sub-gap peaks at positive and negative bias, and these exhibit anti-phase periodic spatial modulations, similar to observations in scanning tunneling microscopy experiments in the underdoped cuprates (K. Matsuba et al., J. Phys. Soc. Jpn. 76, 063704 (2007)).

32 pages, 10 figures

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Cited by in corpus (4)

• The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions
• Fractionalized Fermi liquids and the cuprate phase diagram
• Thermopower across Fermi-volume-changing quantum phase transitions without translational symmetry breaking
• Charge modulation in the background of depleted superconductivity inside vortices