Superconductivity in the background of two-dimensional stripe superstructure

TL;DR

This paper introduces a model for high-Tc superconductivity based on two-dimensional stripe superstructures, explaining experimental features like asymmetric density of states and the relation between critical temperature and superfluid density.

Contribution

It presents a novel superconductivity model assuming stripe organization in cuprates, with unique predictions for density of states and order parameter behavior.

Findings

Asymmetric tunneling density of states with Van Hove singularity

'Fish-like' relation between critical temperature and superfluid density

Order parameter with non-trivial phase and sign change

Abstract

I propose a superconductivity model, which is based on the assumption that stripes in high-Tc cuprates (a) exist and (b) organize themselves in a two-dimensional superstructure. The model describes hole states, which are localized either inside the stripes or in the antiferromagnetic domains between the stripes. The superconductivity in this model emerges due to the interaction, which is, presumably, mediated by the transverse fluctuations of stripes. The tunnelling density of states obtained from the mean field solution of the model is asymmetric with respect to the chemical potential, has Van Hove singularity identified as a superconducting peak, and, in one of the model regimes, has linear functional form in the vicinity of the chemical potential. The relation between the critical temperature and the zero-temperature superfluid density has ``fish-like'' form, which quantitatively resembles experimental data. The superconducting order parameter obtained from this model has two components exhibiting non-trivial phase and sign change under translations in real space.