What is the simplest model which captures the basic experimental facts of the physics of underdoped cuprates?

TL;DR

This paper reviews experimental facts about the pseudogap in underdoped cuprates and discusses how recent computational models of the doped Hubbard model can replicate high-temperature features, suggesting dopant disorder influences ground states.

Contribution

It highlights the relevance of Cellular Dynamic Mean Field Theories in modeling the pseudogap and proposes dopant disorder as a key factor in the emergence of correlated electronic orders.

Findings

High-temperature spectral features match experimental pseudogap observations.

Cellular DMFT captures qualitative pseudogap behavior.

Dopant disorder may drive specific electronic ground states.

Abstract

I discuss here some well established experimental facts which have been shown to be generic of the pseudogap in underdoped cuprates. Some recent developments on Cellular Dynamic Mean Field Theories of the doped Hubbard model on a square lattice are nowadays allowing one to compute physical properties and k resolved single particle spectra. At high temperatures, recent results present qualitative features which perfectly fit the experimental observations done for more than two decades on the pseudogap in the cuprates. Most various broken symmetry states detected recently at lower temperatures than the pseudogap T*, certainly require more complicated modelling, and are not necessarily generic. I suggest that various perturbations due to the order (or disorder) of chemical dopants, which can hardly be avoided in actual materials, might drive the pseudogap electronic matter into specific ground states which exhibit interesting correlated electronic orders.