skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Unusual Dynamic Charge Correlations in Simple-Tetragonal HgBa 2 CuO 4 + δ

Journal Article · · Physical Review. X

The charge-density-wave (CDW) instability in the underdoped, pseudogap part of the cuprate phase diagram has been a major recent research focus, yet measurements of dynamic, energy-resolved charge correlations are still in their infancy. Such information is crucial in order to help discern the connection between CDW and pseudogap phenomena, and to understand the extent to which charge correlations in general shape the phase diagram. We report a resonant inelastic x-ray scattering study of the underdoped cuprate superconductor HgBa2CuO4+δ (Tc = 70 K). At 250 K, above the previously established temperature TCDW ≈ 200 K that signifies the onset of quasistatic short-range CDW order, we observe significant dynamic correlations that are broadly peaked at about 40 meV and centered at the two- dimensional wave vector qCDW. This energy scale is comparable to both the superconducting gap and the low-energy pseudogap. At 70 K, we observe a quasistatic CDW peak at qCDW, but the dynamic correlations around 40 meV remain virtually unchanged, and we identify a new feature: dynamic correlations well above the optic phonon range that are broadly peaked in the 150–200 meV range. A similar energy scale was previously identified in other experiments as a high-energy pseudogap. The observation of three distinct features in the charge response is highly unusual for a CDW system and suggests that charge order in the cuprates is complex. We demonstrate that other single-layer cuprates exhibit approximately the same relative strength of high- to low-temperature energy-integrated charge signal, which points to the universal existence of significant dynamic correlations. Intriguingly, the two energy scales identified here are also comparable to those of the superconducting glue function extracted from other spectroscopic techniques, consistent with a dual charge and magnetic nature of the pairing glue. We further determine the paramagnon dispersion along [1, 0], across qCDW, and find it to be consistent with magnetic excitations measured by inelastic neutron scattering. Unlike for some other cuprates, our result points to the absence of a discernible coupling between charge and magnetic excitations.

Research Organization:
Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; National Science Centre
Grant/Contract Number:
SC0016371; UMO-2019/32/T/ST3/0019
OSTI ID:
1633499
Alternate ID(s):
OSTI ID: 1656783
Journal Information:
Physical Review. X, Journal Name: Physical Review. X Vol. 10 Journal Issue: 2; ISSN 2160-3308
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 22 works
Citation information provided by
Web of Science

References (99)

Ubiquitous Interplay Between Charge Ordering and High-Temperature Superconductivity in Cuprates journal December 2013
Spectroscopic evidence for Fermi liquid-like energy and temperature dependence of the relaxation rate in the pseudogap phase of the cuprates journal March 2013
Ba 2 Y Cu 3 O 7 δ : Electrodynamics of Crystals with High Reflectivity journal September 1988
Intimate link between charge density wave, pseudogap and superconducting energy scales in cuprates journal April 2019
Visualizing the charge density wave transition in 2 H - NbSe 2 in real space journal June 2014
Constant effective mass across the phase diagram of high- T c cuprates journal August 2005
High-temperature charge density wave correlations in La 1.875 Ba 0.125 CuO 4 without spin–charge locking journal November 2017
Demonstrating the model nature of the high-temperature superconductor HgBa 2 CuO 4 + δ journal August 2008
Incipient charge order observed by NMR in the normal state of YBa2Cu3Oy journal March 2015
A Four Unit Cell Periodic Pattern of Quasi-Particle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+delta journal January 2002
Phonon spectrum of underdoped HgBa 2 CuO 4 + δ investigated by neutron scattering journal May 2020
Dynamical charge density waves rule the phase diagram of cuprates journal June 2017
Emergence of coherence in the charge-density wave state of 2H-NbSe2 journal February 2015
Phonon anomalies and dynamic stripes journal November 2012
Magnetic-field-induced charge-stripe order in the high-temperature superconductor YBa2Cu3Oy journal September 2011
Magnetic field controlled charge density wave coupling in underdoped YBa2Cu3O6+x journal May 2016
Non-Fermi-liquid behavior and d-wave superconductivity near the charge-density-wave quantum critical point journal June 1996
Evidence for a universal Fermi-liquid scattering rate throughout the phase diagram of the copper-oxide superconductors journal November 2019
Spatially modulated 'Mottness' in La2-xBaxCuO4 journal December 2005
Distinction between pristine and disorder-perturbed charge density waves in ZrTe3 journal January 2020
Softening of Cu-O Bond Stretching Phonons in Tetragonal HgBa 2 CuO 4 + δ journal May 2004
Charge ordering in the electron-doped superconductor Nd2-xCexCuO4 journal January 2015
Quantum-critical theory of the spin-fermion model and its application to cuprates: Normal state analysis journal March 2003
Long-range order and pinning of charge-density waves in competition with superconductivity journal December 2015
Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3O6.67 journal October 2012
Glue function of optimally and overdoped cuprates from inversion of the Raman spectra journal January 2016
Universal sheet resistance and revised phase diagram of the cuprate high-temperature superconductors journal July 2013
Snapshots of the retarded interaction of charge carriers with ultrafast fluctuations in cuprates journal March 2015
In-Plane Magnetoresistance Obeys Kohler’s Rule in the Pseudogap Phase of Cuprate Superconductors journal October 2014
Momentum and polarization dependence of single-magnon spectral weight for Cu L 3 -edge resonant inelastic x-ray scattering from layered cuprates journal May 2010
PHYSICS: Is There Glue in Cuprate Superconductors? journal June 2007
Extracting the electron-boson spectral function α 2 F ( ω ) from infrared and photoemission data using inverse theory journal March 2005
Optical determination of the relation between the electron-boson coupling function and the critical temperature in high- T c cuprates journal May 2009
Direct observation of charge order in underdoped and optimally doped Bi 2 ( Sr , La ) 2 CuO 6 + δ by resonant inelastic x-ray scattering journal November 2016
Nodal Quasiparticles and Antinodal Charge Ordering in Ca2-xNaxCuO2Cl2 journal February 2005
Direct observation of bulk charge modulations in optimally doped Bi 1.5 Pb 0.6 Sr 1.54 CaCu 2 O 8 + δ journal June 2014
Charge Order Driven by Fermi-Arc Instability in Bi2Sr2-xLaxCuO6+  journal December 2013
Evidence for a charge collective mode associated with superconductivity in copper oxides from neutron and x-ray scattering measurements of La 2 x Sr x CuO 4 journal January 2014
The beamline ID32 at the ESRF for soft X-ray high energy resolution resonant inelastic X-ray scattering and polarisation dependent X-ray absorption spectroscopy
  • Brookes, N. B.; Yakhou-Harris, F.; Kummer, K.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 903 https://doi.org/10.1016/j.nima.2018.07.001
journal September 2018
Electrodynamics of the nodal metal state in weakly doped high- T c cuprates journal August 2005
Distribution of electrons and holes in cuprate superconductors as determined from 17 O and Cu 63 nuclear magnetic resonance journal October 2014
Dynamical charge density fluctuations pervading the phase diagram of a Cu-based high- T c superconductor journal August 2019
Disentangling the Electronic and Phononic Glue in a High-Tc Superconductor journal March 2012
Emergence of superconductivity in the cuprates via a universal percolation process journal October 2018
Doping-dependent charge order correlations in electron-doped cuprates journal August 2016
Charge order and its connection with Fermi-liquid charge transport in a pristine high-Tc cuprate journal December 2014
Spin Waves and Electronic Interactions in La 2 CuO 4 journal June 2001
Anomalous High-Energy Spin Excitations in the High- T c Superconductor-Parent Antiferromagnet La 2 CuO 4 journal December 2010
Charge-density-wave origin of cuprate checkerboard visualized by scanning tunnelling microscopy journal July 2008
A common thread: The pairing interaction for unconventional superconductors journal October 2012
Damped spin excitations in a doped cuprate superconductor with orbital hybridization journal June 2017
The rate of quasiparticle recombination probes the onset of coherence in cuprate superconductors journal April 2016
Eliashberg Analysis of Tunneling Experiments: Support for the Pairing Glue Hypothesis in Cuprate Superconductors journal April 2011
Resonant x-ray scattering study of charge-density wave correlations in YBa 2 Cu 3 O 6 + x journal August 2014
Universal disorder in Bi 2 Sr 2 CaCu 2 O 8 + x journal March 2013
Charge Variations in Cuprate Superconductors from Nuclear Magnetic Resonance journal October 2016
Hall, Seebeck, and Nernst Coefficients of Underdoped HgBa 2 CuO 4 + δ : Fermi-Surface Reconstruction in an Archetypal Cuprate Superconductor journal June 2013
Theory of Resonant Inelastic X-Ray Scattering by Collective Magnetic Excitations journal October 2010
Three-dimensional charge density wave order in YBa2Cu3O6.67 at high magnetic fields journal November 2015
Commensurate antiferromagnetic excitations as a signature of the pseudogap in the tetragonal high-Tc cuprate HgBa2CuO4+δ journal March 2016
New collective mode in YBa 2 Cu 3 O 6 + x observed by time-domain reflectometry journal August 2013
An electron–boson glue function derived from electronic Raman scattering journal August 2010
Synchrotron x-ray scattering study of charge-density-wave order in HgBa 2 CuO 4 + δ journal October 2017
NMR study on a 2H-NbSe 2 single crystal: A microscopic investigation of the charge density waves state journal February 1978
Persistence of magnetic excitations in La2−xSrxCuO4 from the undoped insulator to the heavily overdoped non-superconducting metal journal August 2013
Lattice Effects in High-T c Superconductors: Proceedings of the Conference conference December 2017
Feedback Effect on High-Energy Magnetic Fluctuations in the Model High-Temperature Superconductor HgBa 2 CuO 4 + δ Observed by Electronic Raman Scattering journal May 2012
Phonon dispersion in the one-layer cuprate HgBa 2 CuO 4+  journal December 2003
Magnetic vortex lattice in HgBa 2 CuO 4 + δ observed by small-angle neutron scattering journal February 2011
Coupling between dynamic magnetic and charge-order correlations in the cuprate superconductor Nd 2 x Ce x CuO 4 journal October 2018
Unified electronic phase diagram for hole-doped high- T c cuprates journal May 2008
Evolution of the bosonic spectral density of the high-temperature superconductor Bi 2 Sr 2 Ca Cu 2 O 8 + δ journal April 2007
Hidden Fermi-liquid Charge Transport in the Antiferromagnetic Phase of the Electron-Doped Cuprate Superconductors journal November 2016
Dispersive charge density wave excitations in Bi2Sr2CaCu2O8+δ journal June 2017
Fluctuating charge-density waves in a cuprate superconductor journal February 2013
Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+δ journal May 2007
Evidence for stripe correlations of spins and holes in copper oxide superconductors journal June 1995
Percolative nature of the direct-current paraconductivity in cuprate superconductors journal September 2018
Two Kinds of Bosons and Bose Condensates journal January 1970
Enhancement of superconductivity at the onset of charge-density-wave order in a metal journal September 2015
Thermoelectric power and resistivity of HgBa 2 CuO 4 + δ over a wide doping range journal December 2000
From quantum matter to high-temperature superconductivity in copper oxides journal February 2015
Periodic density-of-states modulations in superconducting Bi 2 Sr 2 CaCu 2 O 8 + δ journal January 2003
Long-Range Incommensurate Charge Fluctuations in (Y,Nd)Ba2Cu3O6+x journal July 2012
Charge density wave fluctuations in La 2 x Sr x CuO 4 and their competition with superconductivity journal June 2014
Unusual behavior of cuprates explained by heterogeneous charge localization journal January 2019
Intense paramagnon excitations in a large family of high-temperature superconductors journal July 2011
Optical spectra of La 2 x Sr x CuO 4 : Effect of carrier doping on the electronic structure of the CuO 2 plane journal April 1991
A ‘checkerboard’ electronic crystal state in lightly hole-doped Ca2-xNaxCuO2Cl2 journal August 2004
Effect of chemical inhomogeneity in bismuth-based copper oxide superconductors journal February 2004
Crossover of Charge Fluctuations across the Strange Metal Phase Diagram journal December 2019
Strong charge fluctuations manifested in the high-temperature Hall coefficient of high- T c cuprates journal January 2007
Friedel oscillations as a probe of fermionic quasiparticles journal May 2016
Single reconstructed Fermi surface pocket in an underdoped single-layer cuprate superconductor journal July 2016
Atomic-scale electronic structure of the cuprate d-symmetry form factor density wave state journal October 2015
How to detect fluctuating stripes in the high-temperature superconductors journal October 2003
Theoretical Demonstration of How the Dispersion of Magnetic Excitations in Cuprate Compounds can be Determined Using Resonant Inelastic X-Ray Scattering journal September 2009
Universal superconducting precursor in three classes of unconventional superconductors journal June 2019
Universal quantum oscillations in the underdoped cuprate superconductors journal November 2013