Complementary Pair Density Wave and d-wave Checkerboard Order in High Temperature Superconductors

Abstract

The competing orders in the particle-particle (P-P) channel and the particle-hole (P-H) channel have been proposed separately to explain the pseudogap physics in cuprates. By solving the Bogoliubov-deGennes equation self-consistently, we show that there is a general complementary connection between the d-wave checkerboard order (DWCB) in the particle-hole (P-H) channel and the pair density wave order (PDW) in the particle-particle (P-P) channel. A small pair density localization generates DWCB and PDW orders simultaneously. The result suggests that suppressing superconductivity locally or globally through phase fluctuation should induce both orders in underdoped cuprates. The presence of both DWCB and PDW orders with $4a\times 4a$ periodicity can explain the checkerboard modulation observed in FT-STS from STM and the puzzling dichotomy between the nodal and antinodal regions as well as the characteristic features such as non-dispersive Fermi arc in the pseudogap state.

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• Quasiparticle interference in heavy Fermion superconductor CeCoIn_5
• Extinction of quasiparticle interference in underdoped cuprates with coexisting order
• High-Resolution Scanning Tunneling Spectroscopy of Vortex Cores in Inhomogeneous Electronic States of Bi2Sr2CaCu2Ox
• Quasi One Dimensional Pair Density Wave Superconducting State
• Density Waves Cause Sub-Gap Structures but no Pseudogap in Superconducting Cuprates
• Tunneling and Josephson effects in odd-frequency superconductor junctions: A study on multi-channel Kondo chain
• Translational-invariant bipolarons and superconductivity
• Interplay between pair density waves and random field disorders in the pseudogap regime of cuprate superconductors
• HTSC Cuprate Phase Diagram Using a Modified Boson-Fermion-Gossamer Model Describing Competing Orders, a Quantum Critical Point and Possible Resonance Complex
• Gapless Triplet Superconductivity in Magnetically Polarized Media