Discerning electronic fingerprints of nodal and antinodal nestings and their phase coherences in doped cuprate superconductors

Abstract

The complexity of competing orders in cuprates has recently been multiplied by a number of bulk evidences of charge ordering with wavevector that connects the antinodal region of the Fermi surface. This results contradicts many spectroscopic results of the nodal nesting. To resolve this issue, we carry out a unified study of the resulting electronic fingerprints of both nodal and antinodal nestings (NNs/ANs), and compare with angle-resolved photoemission, scanning tunneling spectroscopic data, as well as bulk sensitive Hall effect measurements. Our result makes several definitive distinctions between them in that while both nestings gap out the antinodal region, AN induces an additional quasiparticle gap {\em below the Fermi level along the nodal direction}, which is so far uncharted in spectroscopic data. Furthermore, we show that the Hall coefficient in the AN state obtains a discontinuous jump at the phase transition from an electron-like nodal pocket (negative value) to a large hole-like Fermi surface (positive value), in contrast to a continuous transition in the available data. Finally, we write down a Ginzburg-Landau functional to study the stability of the two phases, and discuss an interesting possibility of disorder pinned `chiral' charge ordering.