Local Edge Modes in Doped Cuprates with Checkerboard Polaronic Heterogeneity

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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.

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