d-Wave Checkerboard Order in Cuprates

TL;DR

This paper demonstrates that d-wave checkerboard order in cuprates can explain key experimental observations such as STM and ARPES results, linking it to pair-density-wave order and phase fluctuations.

Contribution

It reveals the physics of d-wave checkerboard order and its role in explaining pseudogap phenomena and experimental features in cuprates, connecting it to pair-density-wave order.

Findings

Weak d-wave checkerboard order suppresses coherence peaks.

It generates Fermi arcs consistent with ARPES.

Connection between checkerboard and pair-density-wave orders.

Abstract

We show that the d-wave ordering in particle-hole channels, dubbed d-wave checkerboard order, possesses important physics that can sufficiently explain the scanning tunneling microscopy (STM) results in cuprates. A weak d-wave checkerboard order can effectively suppress the coherence peak in the single-particle spectrum while leaving the spectrum along the nodal direction almost unaffected. Simultaneously, it generates a Fermi arc with little dispersion around the nodal points at finite temperature that is consistent with the results of angle-resolved photoemission spectroscopy (ARPES) experiments in the pseudogap phase. We also show that there is a general complementary connection between the d-wave checkerboard order and the pair-density-wave order. Suppressing superconductivity locally or globally through phase fluctuations should induce both orders in underdoped cuprates and explain the nodal-antinodal dichotomy observed in ARPES and STM experiments.