Atomic-scale electronic structure of the cuprate d-symmetry form factor density wave state
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Cornell Univ., Ithaca, NY (United States); Univ. of St. Andrews, Scotland (United Kingdom)
- Cornell Univ., Ithaca, NY (United States); Univ. of St. Andrews, Scotland (United Kingdom); Brookhaven National Lab. (BNL), Upton, NY (United States)
- Univ. of St. Andrews, Scotland (United Kingdom); Max-Planck Institute for Chemical Physics of Solids, Dresden (Germany)
- Institute of Advanced Industrial Science and Technology, Ibaraki (Japan)
- Univ. of Tokyo, Tokyo (Japan)
- Cornell Univ., Ithaca, NY (United States); Binghamton Univ., Binghamton, NY (United States)
- Cornell Univ., Ithaca, NY (United States)
- 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
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