Fermi arcs and the hidden zeros of the Green's function in the pseudogap state

TL;DR

This paper explores the pseudogap state in a correlated metal near a Mott insulator, revealing lines of zeros in the Green's function and their connection to Fermi arcs and Fermi surface topology changes.

Contribution

It introduces a novel Cellular Dynamical Mean Field Theory approach using cumulants, providing new insights into the Green's function zeros and pseudogap phenomena.

Findings

Lines of zeros in the Green's function are linked to the pseudogap.

Fermi surface topology changes with doping.

Fermi arcs emerge from the zeros and pseudogap interplay.

Abstract

We investigate the low energy properties of a correlated metal in the proximity of a Mott insulator within the Hubbard model in two dimensions. We introduce a new version of the Cellular Dynamical Mean Field Theory using cumulants as the basic irreducible objects. These are used for re-constructing the lattice quantities from their cluster counterparts. The zero temperature one particle Green's function is characterized by the appearance of lines of zeros, in addition to a Fermi surface which changes topology as a function of doping. We show that these features are intimately connected to the opening of a pseudogap in the one particle spectrum and provide a simple picture for the appearance of Fermi arcs.