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Title: Atomic-scale electronic structure of the cuprate d-symmetry form factor density wave state

Journal Article · · Nature Physics
DOI:https://doi.org/10.1038/NPHYS3519· OSTI ID:1246796
 [1];  [2];  [3];  [4];  [5];  [6];  [7];  [8];  [9];  [1]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States)
  2. Cornell Univ., Ithaca, NY (United States); Univ. of St. Andrews, Scotland (United Kingdom)
  3. Cornell Univ., Ithaca, NY (United States); Univ. of St. Andrews, Scotland (United Kingdom); Brookhaven National Lab. (BNL), Upton, NY (United States)
  4. Univ. of St. Andrews, Scotland (United Kingdom); Max-Planck Institute for Chemical Physics of Solids, Dresden (Germany)
  5. Institute of Advanced Industrial Science and Technology, Ibaraki (Japan)
  6. Univ. of Tokyo, Tokyo (Japan)
  7. Cornell Univ., Ithaca, NY (United States); Binghamton Univ., Binghamton, NY (United States)
  8. Cornell Univ., Ithaca, NY (United States)
  9. Harvard Univ., Cambridge, MA (United States); Perimeter Institute for Theoretical Physics, Waterloo, ON (Canada)

Research on high-temperature superconducting cuprates is at present focused on identifying the relationship between the classic ‘pseudogap’ phenomenon1, 2 and the more recently investigated density wave state3–13. This state is generally characterized by a wavevector Q parallel to the planar Cu–O–Cu bonds 4–13 along with a predominantly d-symmetry form factor 14–17 (dFF-DW). To identify the microscopic mechanism giving rise to this state 18–30, one must identify the momentum-space states contributing to the dFF-DW spectral weight, determine their particle–hole phase relationship about the Fermi energy, establish whether they exhibit a characteristic energy gap, and understand the evolution of all these phenomena throughout the phase diagram. Here we use energy-resolved sublattice visualization14 of electronic structure and reveal that the characteristic energy of the dFF-DW modulations is actually the ‘pseudogap’ energy Δ1. Moreover, we demonstrate that the dFF-DW modulations at E = –Δ1 (filled states) occur with relative phase π compared to those at E = Δ1 (empty states). Lastly, we show that the conventionally defined dFF-DW Q corresponds to scattering between the ‘hot frontier’ regions of momentum-space beyond which Bogoliubov quasiparticles cease to exist30–32. These data indicate that the cuprate dFF-DW state involves particle–hole interactions focused at the pseudogap energy scale and between the four pairs of ‘hot frontier’ regions in momentum space where the pseudogap opens.

Research Organization:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC00112704
OSTI ID:
1246796
Report Number(s):
BNL-111972-2016-JA; R&D Project: PO016; PM007; KC0202020; KC0201010
Journal Information:
Nature Physics, Vol. 12, Issue 2; ISSN 1745-2473
Publisher:
Nature Publishing Group (NPG)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 87 works
Citation information provided by
Web of Science

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Cited By (20)

Detection of a Cooper-pair density wave in Bi2Sr2CaCu2O8+x journal April 2016
Bipartite electronic superstructures in the vortex core of Bi2Sr2CaCu2O8+δ journal May 2016
Holographic maps of quasiparticle interference journal July 2016
Diagonal nematicity in the pseudogap phase of HgBa2CuO4+δ journal July 2019
Machine learning in electronic-quantum-matter imaging experiments journal June 2019
Local particle-hole pair excitations by SU(2) symmetry fluctuations journal June 2017
Evidence for a vestigial nematic state in the cuprate pseudogap phase journal June 2019
Charge ordering in high-temperature superconductors visualized by scanning tunneling microscopy journal October 2019
Anomalies in the pseudogap phase of the cuprates: competing ground states and the role of umklapp scattering journal October 2019
Incommensurate charge ordered states in the tt ′– J model journal January 2017
Intrinsic cluster-shaped density waves in cellular dynamical mean-field theory journal December 2019
Valence transition model of the pseudogap, charge order, and superconductivity in electron-doped and hole-doped copper oxides journal November 2018
Holographic imaging of the complex charge density wave order parameter journal November 2019
Charge dynamics in strongly-correlated electronic systems journal November 2018
p-wave triggered superconductivity in single-layer graphene on an electron-doped oxide superconductor text January 2017
p-wave triggered superconductivity in single-layer graphene on an electron-doped oxide superconductor journal January 2017
Hybridization of Higgs modes in a bond-density-wave state in cuprates text January 2015
Detection of a Cooper-Pair Density Wave in Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+x}$ text January 2015
Structure of the Charge-Density Wave in Cuprate Superconductors: Lessons from NMR text January 2017
Intrinsic Cluster-Shaped Density Waves in Cellular Dynamical Mean-Field Theory text January 2019