Unified treatment of Fermi pockets and arcs scenarios for the cuprates: Sum rule consistent response functions of the pseudogap

Abstract

Essential to understanding the cuprate pseudogap phase is a study of the charge (and spin) response functions, which we address here via a consistent approach to the Fermi arcs and the Fermi pockets scenario of Yang, Rice and Zhang (YRZ). The two schemes are demonstrated to be formally similar, and to share a common physics platform; we use this consolidation to address the inclusion of vertex corrections which have been omitted in YRZ applications. We show vertex corrections can be easily implemented in a fashion analytically consistent with sum rules and that they yield important contributions to most observables. A study of the charge ordering susceptibility of the YRZ scenario makes their simple physics evident: they represent the inclusion of charged bosonic, spin singlet degrees of freedom, and are found to lead to a double peak structure.

5 pages, 1 figure, with included 4-page Supplementary Material

References in corpus (7)

• A Phenomenological Theory of The Pseudogap State
• Modeling the Fermi arc in underdoped cuprates
• Gapless superconductivity and the Fermi arc in the cuprates
• Phenomenological description of the two energy scales in underdoped superconducting cuprates
• Understanding the Protected Nodes and Collapse of the Fermi Arcs in Underdoped Cuprate Superconductors
• Quasiparticle Interference in STM As a Function of Temperature: Signatures of Coherence
• On the checkerboard pattern and the autocorrelation of photoemission data in high temperature superconductors

Cited by in corpus (2)

• When Superconductivity Crosses Over: From BCS to BEC
• Unified approach to electrical and thermal transport in high-$T_c$ superconductors