Local edge modes in doped cuprates with checkerboard polaronic heterogeneity

TL;DR

This paper investigates the electronic and phononic properties of a model for hole-doped cuprates with checkerboard polaronic heterogeneity, revealing insights into local edge modes through theoretical calculations.

Contribution

It introduces a multiband Peierls-Hubbard model to study nanoscale superlattice structures in doped cuprates, combining Hartree-Fock and RPA methods.

Findings

Identification of local edge modes in the polaronic superlattice

Insights into the interplay between electronic and phononic excitations

Modeling of checkerboard heterogeneity observed in STM studies

Abstract

We study a periodic polaronic system, which exhibits a nanoscale superlattice structure, as a model for hole-doped cuprates with checkerboard-like heterogeneity, as has been observed recently by scanning tunneling microscopy (STM). Within this model, the electronic and phononic excitations are investigated by applying an unrestricted Hartree-Fock and a random phase approximation (RPA) to a multiband Peierls-Hubbard Hamiltonian in two dimensions.