Electronic Structure in Underdoped Cuprates Due to the Emergence of a Pseudogap

Abstract

The phenomenological Green's function developed in the works of Yang, Rice and Zhang has been very successful in understanding many of the anomalous superconducting properties of the deeply underdoped cuprates. It is based on considerations of the resonating valence bond spin liquid approximation and is designed to describe the underdoped regime of the cuprates. Here we emphasize the region of doping, x, just below the quantum critical point at which the pseudogap develops. In addition to Luttinger hole pockets centered around the nodal direction, there are electron pockets near the antinodes which are connected to the hole pockets by gapped bridging contours. We determine the contours of nearest approach as would be measured in angular resolved photoemission experiments and emphasize signatures of the Fermi surface reconstruction from the large Fermi contour of Fermi liquid theory (which contains 1 + x hole states) to the Luttinger pocket (which contains x hole states). We find that the quasiparticle effective mass renormalization increases strongly towards the edge of the Luttinger pockets beyond which it diverges.

Superconductivity generated by coupling to a cooperon in a two-dimensional array of four-leg Hubbard ladders

“…11 This phenomenological propagator has been recently used successfully to fit a range of experiments covering many anomalous properties of the pseudogap phase. [12][13][14][15][16][17][18] In this paper we extend our earlier analysis to the case of an array of lightly doped 4-leg Hubbard ladders with an onsite weak interaction. Our goal is to construct a tractable 2dimensional model with a partially truncated Fermi surface in which d-wave pairing arises on the residual Fermi surface through scattering in the Cooper channel.…”

Isotope Effect of Underdoped Cuprates in the Yang-Rice-Zhang Model

“…In this model metallicity is lost not through an ever increasing effective mass. Rather the quasiparticles remain light in the nodal direction while the antinodal regions [35] are completely gaped out. As a consequence, the in-plane resistivity remains metallic [36] as observed [37,38].…”