Modelling quasiparticles and inhomogeneous pseudogap emergence in cuprates in presence of charge ordering potential

Abstract

We are modelling the ground normal state of cuprate high-temperature superconductors, taking into account that they have strongly polarizable ionic lattice, with the aim to study the pseudogap (PG) nature. At strong Fröhlich electron-phonon interaction autolocalized carriers form charge ordering and coexist with delocalized ones. We consider quasiparticles (QPs) that emerge in cuprates in presence of additional charge ordering potential. We show that this potential transforms Bloch QPs into distributed wave packets with different momentums in areas with different potential. Modelling dispersion of the hole-doped cuprates and constructing the momentum space trajectories of the new QPs we found that topology of hole-like dispersion forbids QPs with average momentums near antinodes. Considering photoemission of carriers from permitted QP states, we recently have demonstrated that calculated antinodal spectrum of angle-resolved photoemission spectroscopy (ARPES) has all the features characteristic of the PG behaviour in cuprates. Using the approach defined above, here we calculate influence of fluctuations in dopant ion density on the PG width. As a result, we demonstrate that the suggested model of the PG emergence in cuprates reproduces all the details of the PG display not only in ARPES but also in scanning tunneling microscopy experiments, where the prominent feature is inhomogeneity of the PG width over the crystal.