Theory for Dynamical Short Range Order and Fermi Surface Volume in Strongly Correlated Systems

TL;DR

This paper explores how strong dynamical antiferromagnetic correlations in the Hubbard model cause changes in Fermi surface volume and violate Luttinger's theorem in underdoped cuprates, revealing unconventional quasiparticle behavior.

Contribution

It provides a detailed theoretical analysis of the origin of Fermi surface volume changes and Luttinger theorem violations due to short-range correlations in strongly correlated systems.

Findings

Fermi surface volume changes due to transfer of occupied states

Unusual deviations from Fermi liquid behavior in scattering rates

Formation of hole pockets near half filling

Abstract

Using the fluctuation exchange approximation of the one band Hubbard model, we discuss the origin of the changing Fermi surface volume in underdoped cuprate systems due to the transfer of occupied states from the Fermi surface to its shadow, resulting from the strong dynamical antiferromagnetic short range correlations. The momentum and temperature dependence of the quasi particle scattering rate shows unusual deviations from the conventional Fermi liquid like behavior. Their consequences for the changing Fermi surface volume are discussed. Here, we investigate in detail which scattering processes might be responsible for a violation of the Luttinger theorem. Finally, we discuss the formation of hole pockets near half filling.