Abstract
The Mott insulating phase of the parent compounds is frequently taken as starting point for the underdoped high-$T_c$ cuprate superconductors. In particular, the pseudogap state is often considered as deriving from the Mott insulator. In this work, we systematically investigate different weakly-doped Mott insulators on the square and triangular lattice to clarify the relationship between the pseudogap and Mottness. We show that doping a two-dimensional Mott insulator does not necessarily lead to a pseudogap phase. Despite its inherent strong-coupling nature, we find that the existence or absence of a pseudogap depends sensitively on non-interacting band parameters and identify the crucial role played by the van Hove singularities of the system. Motivated by a SU(2) gauge theory for the pseudogap state, we propose and verify numerically a simple equation that governs the evolution of characteristic features in the electronic scattering rate.
Highlights
The complex phenomenology of cuprate high-Tc superconductors is widely thought of as a consequence of introducing mobile charge carriers in a Mott insulator through doping [1]
To shed light on the role played by AF correlations and Mottness, we address in this work the following fundamental question: do all doped Mott insulators with short-range AF correlations have a PG in two dimensions? To this end, we systematically study Hubbard models on square and triangular lattices, which have very different magnetic frustration properties
We have systematically analyzed which conditions are favorable for the emergence of a PG when doping insulating half-filled Hubbard models
Summary
The complex phenomenology of cuprate high-Tc superconductors is widely thought of as a consequence of introducing mobile charge carriers in a Mott insulator through doping [1]. Regarding the origin of the PG state, different approaches point to shortrange antiferromagnetic (AF) correlations and proximity to Mottness, including quantum Monte Carlo [22,23,24], exact diagonalization [20], cluster perturbation theory [25], and cluster extensions of dynamical mean-field theory (DMFT) [26,27,28,29,30,31] This is in line with a recent systematic experimental study [32] indicating that all other instabilities are secondary to AF correlations in the opening of the PG. This equation agrees with an SU(2) gauge theory [10,11,12], where the PG is the result of a Higgs mechanism, physically corresponding to local AF order with large orientational fluctuations
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have