Quasiparticle scattering interference in the renormalized Hubbard model

Abstract

The quasiparticle scattering interference phenomenon is studied in the presence of a single impurity within the renormalized Hubbard model. By calculation of the energy and momentum dependence of the Fourier transformed local density of states in the full Brillouin zone, the main features of the quasiparticle scattering interference phenomenon in cuprate superconductors can be described qualitatively by a single point-like impurity. In particular, it is shown that with increasing energy ,the position of the peak along the nodal ([0, 0] → [π, π]) direction moves steadily to large momentum region, while the position of the peak along the antinodal ([0, 0] → [π, 0]) moves towards to the center of Brillouin zone.

Doping and energy dependences of thermal conductivity in cuprate superconductors

“…In particular, the self-consistent parameter ∆ describes the magnitude of the pseudogap. In our previous work, 33,34 it is shown that ∆ (then the pseudogap) is particularly large in underdoped region, and then smoothly decreases with increasing doping concentration in the whole doping range from underdoped to heavily overdoped region. …”

“…However, it is very hard to solve this strong electron-electron interaction problem in analytic approach. In order to deal with the local constraint, the Gutzwiller renormalization factors g t and g s are introduced to rewrite the t-J model as 31,[33][34][35] …”

“…Within this self-consistent mean field theory, we have studied the doping and energy dependences of the quasiparticle scattering interference phenomenon, unusual electron spectrum and anomalous optical conductivity in cuprate superconductors. [33][34][35] In this paper, within this renormalized t-J model and self-consistent mean field theory, 33 we calculate the energy and doping dependence of thermal conductivity and explain the corresponding experimental data of thermal conductivity in cuprate superconductors.…”

“…In particular, a renormalized Hamiltonian approach had been proposed by Zhang and coworkers, 31 where the Gutzwiller renormalization factors g t and g s in zero temperature are introduced to remove two occupancy states in the same site, and the theory was developed as "plain vanilla" theory by Anderson and coworkers. 32 Recently, based on the renormalized t-J model, we have developed a self-consistent mean field theory, 33 where we introduce the Gutzwiller renormalization factors into the t-J model to deal with the constraint of single occupancy on the same site which is very hard to solve in analytic approach. Within this self-consistent mean field theory, we have studied the doping and energy dependences of the quasiparticle scattering interference phenomenon, unusual electron spectrum and anomalous optical conductivity in cuprate superconductors.…”