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

Title: Interpretation of scanning tunneling quasiparticle interference and impurity states in cuprates

Journal Article · · Physical Review Letters
 [1];  [2];  [3];  [4];  [5];  [2]
  1. Univ. of Florida, Gainesville, FL (United States); Univ. of Copenhagen, Copenhagen (Denmark)
  2. Univ. of Florida, Gainesville, FL (United States)
  3. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  4. Brookhaven National Lab. (BNL), Upton, NY (United States)
  5. Univ. of Copenhagen, Copenhagen (Denmark)

We apply a recently developed method combining first principles based Wannier functions with solutions to the Bogoliubov–de Gennes equations to the problem of interpreting STM data in cuprate superconductors. We show that the observed images of Zn on the surface of Bi2Sr2CaCu2O8 can only be understood by accounting for the tails of the Cu Wannier functions, which include significant weight on apical O sites in neighboring unit cells. This calculation thus puts earlier crude “filter” theories on a microscopic foundation and solves a long-standing puzzle. We then study quasiparticle interference phenomena induced by out-of-plane weak potential scatterers, and show how patterns long observed in cuprates can be understood in terms of the interference of Wannier functions above the surface. Furthermore, our results show excellent agreement with experiment and enable a better understanding of novel phenomena in the cuprates via STM imaging.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC05-00OR22725; SC00112704; FG02-05ER46236
OSTI ID:
1186008
Alternate ID(s):
OSTI ID: 1226027; OSTI ID: 1228169
Report Number(s):
BNL-108204-2015-JA; PRLTAO
Journal Information:
Physical Review Letters, Vol. 114, Issue 21; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 44 works
Citation information provided by
Web of Science

References (55)

Scanning tunneling spectroscopy of high-temperature superconductors journal March 2007
Spectroscopic Imaging Scanning Tunneling Microscopy Studies of Electronic Structure in the Superconducting and Pseudogap Phases of Cuprate High- T c Superconductors journal January 2012
Nanometer scale mapping of the density of states in an inhomogeneous superconductor journal April 2001
Microscopic electronic inhomogeneity in the high-Tc superconductor Bi2Sr2CaCu2O8+x journal September 2001
Inherent inhomogeneities in tunneling spectra of Bi 2 Sr 2 CaCu 2 O 8 x crystals in the superconducting state journal August 2001
Imaging the granular structure of high-Tc superconductivity in underdoped Bi2Sr2CaCu2O8+δ journal January 2002
Impurity-Induced Bound Excitations on the Surface of Bi 2 Sr 2 CaCu 2 O 8 journal July 1999
Imaging the effects of individual zinc impurity atoms on superconductivity in Bi2Sr2CaCu2O8+δ journal February 2000
Periodic density-of-states modulations in superconducting Bi 2 Sr 2 CaCu 2 O 8 + δ journal January 2003
How to detect fluctuating stripes in the high-temperature superconductors journal October 2003
A ‘checkerboard’ electronic crystal state in lightly hole-doped Ca2-xNaxCuO2Cl2 journal August 2004
Local Ordering in the Pseudogap State of the High-Tc Superconductor Bi2Sr2CaCu2O8+  journal March 2004
An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates journal March 2007
Simultaneous Transitions in Cuprate Momentum-Space Topology and Electronic Symmetry Breaking journal May 2014
Quantum interference of impurity bound states in Bi 2 Sr 2 Ca(Cu 1 x Zn x ) 2 O 8 + δ probed by scanning tunneling spectroscopy journal August 2011
Picometer registration of zinc impurity states in Bi 2 Sr 2 CaCu 2 O 8+ δ for phase determination in intra-unit-cell Fourier transform STM journal May 2012
Impurity-induced states in conventional and unconventional superconductors journal May 2006
Defects in correlated metals and superconductors journal January 2009
Impurity in a d -Wave Superconductor: Kondo Effect and STM Spectra journal January 2001
Quasiparticle resonant states as a probe of short-range electronic structure and Andreév coherence journal June 2000
Van Hove features in Bi 2 Sr 2 CaCu 2 O 8 + δ and effective parameters for Ni impurities inferred from STM spectra journal August 2002
Impurity-induced low-energy resonances in Bi 2 Sr 2 CaCu 2 O 8 + δ journal October 2004
Andreev States near Short-Ranged Pairing Potential Impurities journal March 2006
Effect of unitary impurities on non-STM types of tunneling in high- T c superconductors journal September 2000
Impurity States and Interlayer Tunneling in High Temperature Superconductors journal February 2002
Ab initio calculation of impurity effects in copper oxide materials journal December 2005
Spectral decomposition and matrix element effects in scanning tunneling spectroscopy of Bi 2 Sr 2 CaCu 2 O 8 + δ journal October 2009
Giant Friedel Oscillations on the Beryllium(0001) Surface journal March 1997
Imaging Quasiparticle Interference in Bi2Sr2CaCu2O8+δ journal July 2002
Quasiparticle scattering interference in high-temperature superconductors journal January 2003
Wave-vector power spectrum of the local tunneling density of states: Ripples in a d -wave sea journal July 2003
Theory of quasiparticle interference patterns in the pseudogap phase of the cuprate superconductors journal November 2003
Energy-dependent modulations in the local density of states of the cuprate superconductors journal March 2003
Quantum interference between multiple impurities in anisotropic superconductors journal May 2003
Fourier transform spectroscopy of d -wave quasiparticles in the presence of atomic scale pairing disorder journal March 2006
Quasiparticle interference and the interplay between superconductivity and density wave order in the cuprates journal October 2012
Power spectrum of many impurities in a d -wave superconductor journal February 2004
Visualization of atomic-scale phenomena in superconductors: Application to FeSe journal October 2014
Insulating Ferromagnetism in L a 4 B a 2 C u 2 O 10 : An Ab Initio Wannier Function Analysis journal September 2002
Angle-resolved photoemission studies of the cuprate superconductors journal April 2003
Theory of the scanning tunneling microscope journal January 1985
Spectroscopic scanning tunneling microscopy insights into Fe-based superconductors journal November 2011
Electronic band structure of CaBi 2 Sr 2 Cu 2 O 8 journal April 1988
Electronic structure calculations of solids using the WIEN2k package for material sciences journal August 2002
Full orbital calculation scheme for materials with strongly correlated electrons journal March 2005
Interplay of magnetism and high-Tc superconductivity at individual Ni impurity atoms in Bi2Sr2CaCu2O8+δ journal June 2001
Fermi Surface and Pseudogap Evolution in a Cuprate Superconductor journal May 2014
Maximally localized generalized Wannier functions for composite energy bands journal November 1997
Effect of mesoscopic inhomogeneities on local tunneling density of states in cuprates journal February 2005
Effect of covalent bonding on magnetism and the missing neutron intensity in copper oxide compounds journal October 2009
Nonresonant Inelastic X-Ray Scattering and Energy-Resolved Wannier Function Investigation of d d Excitations in NiO and CoO journal July 2007
Dynamical reconstruction of the exciton in LiF with inelastic x-ray scattering journal August 2008
How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+δ journal August 2008
Coincidence of Checkerboard Charge Order and Antinodal State Decoherence in Strongly Underdoped Superconducting Bi 2 Sr 2 Ca Cu 2 O 8 + δ journal May 2005
Evolution of the electronic excitation spectrum with strongly diminishing hole density in superconducting Bi2Sr2CaCu2O8+δ journal March 2008

Cited By (26)

Holographic maps of quasiparticle interference journal July 2016
Full-gap superconductivity in spin-polarised surface states of topological semimetal β-PdBi2 journal October 2017
Noisy defects in the high-Tc superconductor Bi2Sr2CaCu2O8+x journal February 2019
Directly visualizing the sign change of d-wave superconducting gap in Bi2Sr2CaCu2O8+δ by phase-referenced quasiparticle interference journal April 2019
Incommensurate charge ordered states in the tt ′– J model journal January 2017
The ab initio study of unconventional superconductivity in CeCoIn 5 and FeSe journal June 2017
Magnetic field dependence of the density of states in the multiband superconductor β Bi 2 Pd journal August 2015
Area law and its violation: A microscopic inspection into the structure of entanglement and fluctuations journal September 2015
Robust determination of the superconducting gap sign structure via quasiparticle interference journal November 2015
Bounds on nanoscale nematicity in single-layer FeSe / SrTiO 3 journal March 2016
Impact of iron-site defects on superconductivity in LiFeAs journal October 2016
Effects of strong disorder in strongly correlated superconductors journal January 2017
Subgap structures and pseudogap in cuprate superconductors: Role of density waves journal February 2017
Highly anisotropic quasiparticle interference patterns in the spin-density wave state of the iron pnictides journal December 2017
Pair density waves in superconducting vortex halos journal May 2018
Self-energies and quasiparticle scattering interference journal September 2018
Extremely correlated Fermi liquid of the t J model in two dimensions journal November 2018
Theoretical study of impurity-induced magnetism in FeSe journal January 2019
Spectroscopic Imaging of Quasiparticle Bound States Induced by Strong Nonmagnetic Scatterings in One-Unit-Cell FeSe / SrTiO 3 journal July 2019
Atomic manipulation of the gap in Bi 2 Sr 2 CaCu 2 O 8+x journal January 2020
Area law and its violation: A microscopic inspection into the structure of entanglement and fluctuations text January 2015
Highly anisotropic quasiparticle interference patterns in the spin-density wave state of the iron pnictides text January 2017
Pair Density Waves in Superconducting Vortex Halos text January 2018
Self-Energies and Quasiparticle Scattering Interference text January 2018
Theoretical study of impurity-induced magnetism in FeSe text January 2018
Atomic manipulation of the gap in Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+x}$ text January 2020

Similar Records

Electronic Structure of the Cuprate Superconducting and Pseudogap Phases from Spectroscopic Imaging STM
Journal Article · Tue Jun 21 00:00:00 EDT 2011 · New Journal of Physics · OSTI ID:1186008

Spin singlet and quasiparticle excitations in cuprate superconductors
Journal Article · Wed Nov 23 00:00:00 EST 2022 · Physical Review. B · OSTI ID:1186008

Superconducting gap symmetry from Bogoliubov quasiparticle interference analysis on Sr2RuO4
Journal Article · Tue Apr 11 00:00:00 EDT 2023 · Physical Review. B · OSTI ID:1186008