Superconducting d-wave stripes in cuprates: Valence bond order coexisting with nodal quasiparticles

TL;DR

This paper demonstrates that in cuprates, bond-centered charge-density waves with d-wave symmetry coexist with superconductivity, aligning with experimental data and revealing complex electronic ordering involving valence bond states and nodal quasiparticles.

Contribution

It reveals the coexistence of d-wave bond charge order with superconductivity in cuprates, supported by theoretical analysis and experimental consistency.

Findings

D-wave stripes are compatible with photoemission and tunneling data.

Long-range order is suppressed by fluctuations or disorder.

Real-space d-wave stripe structure matches STM measurements.

Abstract

We point out that unidirectional bond-centered charge-density-wave states in cuprates involve electronic order in both s- and d-wave channels, with non-local Coulomb repulsion suppressing the s-wave component. The resulting bond-charge-density wave, coexisting with superconductivity, is compatible with recent photoemission and tunneling data and as well as neutron-scattering measurements, once long-range order is destroyed by slow fluctuations or glassy disorder. In particular, the real-space structure of d-wave stripes is consistent with the scanning-tunneling-microscopy measurements on both underdoped Bi2Sr2CaCu2O8+x and Ca2-xNaxCuO2Cl2 of Kohsaka et al. [Science 315, 1380 (2007), arXiv:cond-mat/0703309].