Coulomb Interaction-induced Checkerboard Patterns in Disordered Cuprates

TL;DR

This paper investigates how Coulomb interactions influence local density of states in disordered cuprates, revealing energy-dependent checkerboard patterns that align with recent STM experimental observations.

Contribution

It demonstrates that Coulomb interactions induce checkerboard LDOS modulations in disordered cuprates, differing from quasiparticle interference effects, and explains experimental patterns.

Findings

Coulomb interaction suppresses LDOS maxima at dopant sites.

Expands Friedel oscillations in real space.

Creates energy-dependent checkerboard LDOS patterns.

Abstract

We study the effect of the Coulomb interaction on the local density of states (LDOS) and its Fourier component in disordered cuprates. It is shown that the Coulomb interaction suppresses strongly the maximum value of the LDOS induced by the dopant impurity at each energy and expands significantly the Friedel oscillation in real space. The existence of the Coulomb interaction with a moderate strength yields an energy-dependent checkerboard LDOS modulation around the impurity, which is very different from that produced by pure quasiparticle interference. The orientation and transformation of the checkerboard pattern with energy and the relations among the modulation vectors, dopings and the bias voltages agree qualitatively with the recent STM experiments.