Exploring Pair Density Waves and Superconductivity in the Emery Model using Density-Matrix Renormalization Group

Abstract

Pair density waves (PDWs) are a distinct state of matter in superconducting systems characterized by a spatially oscillating superconducting order parameter, in contrast to traditional uniform superconductors. The Emery model includes a negative electron hopping term tpp between nearby oxygen sites. By changing the direction of oxygen-oxygen hopping, kinetic frustration may be achieved, which in turn changes the local model parameters by reducing the Cu-Cu antiferromagnetic exchange and increasing the charge transfer energy. Our findings show that at low doping levels, there is a ground state that is very close to a PDW, with superconducting, charge, and spin density wave correlations that are reciprocal. The system exhibits a unique d-wave superconductivity as the attractive V_pp increases.