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Title: Universality of scanning tunneling microscopy in cuprate superconductors

Abstract

We consider the problem of local tunneling into cuprate superconductors, combining model-based calculations for the superconducting order parameter with wave function information obtained from first-principles electronic structure. For some time it has been proposed that scanning tunneling microscopy (STM) spectra do not reflect the properties of the superconducting layer in the CuO 2 plane directly beneath the STM tip, but rather a weighted sum of spatially proximate states determined by the details of the tunneling process. These ``filter'' ideas have been countered with the argument that similar conductance patterns have been seen around impurities and charge ordered states in systems with atomically quite different barrier layers. Here we use a recently developed Wannier function-based method to calculate topographies, spectra, conductance maps, and normalized conductance maps close to impurities. We find that it is the local planar Cu d x2–y2 Wannier function, qualitatively similar for many systems, that controls the form of the tunneling spectrum and the spatial patterns near perturbations. Furthermore we explain how, despite the fact that STM observables depend on the materials-specific details of the tunneling process and setup parameters, there is an overall universality in the qualitative features of conductance spectra. In particular, we discuss why STMmore » results on Bi 2Sr 2CaCu 2O 8 (BSCCO) and Ca 2–xNa xCuO 2Cl 2 (NaCCOC) are essentially identical.« less

Authors:
 [1];  [2]; ORCiD logo [3];  [4];  [5]
  1. Univ. of Florida, Gainesville, FL (United States); Indian Institute of Science, Bengaluru (India)
  2. Univ. Leipzig, Leipzig (Germany); Univ. of Copenhagen, Copenhagen (Denmark)
  3. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  4. Univ. of Copenhagen, Copenhagen (Denmark)
  5. Univ. of Florida, Gainesville, FL (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1484148
Alternate Identifier(s):
OSTI ID: 1410467
Grant/Contract Number:  
AC05-00OR22725; AC02-05CH11231
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 17; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Choubey, Peayush, Kreisel, Andreas, Berlijn, Tom, Andersen, Brian M., and Hirschfeld, Peter J. Universality of scanning tunneling microscopy in cuprate superconductors. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.96.174523.
Choubey, Peayush, Kreisel, Andreas, Berlijn, Tom, Andersen, Brian M., & Hirschfeld, Peter J. Universality of scanning tunneling microscopy in cuprate superconductors. United States. doi:10.1103/PhysRevB.96.174523.
Choubey, Peayush, Kreisel, Andreas, Berlijn, Tom, Andersen, Brian M., and Hirschfeld, Peter J. Tue . "Universality of scanning tunneling microscopy in cuprate superconductors". United States. doi:10.1103/PhysRevB.96.174523. https://www.osti.gov/servlets/purl/1484148.
@article{osti_1484148,
title = {Universality of scanning tunneling microscopy in cuprate superconductors},
author = {Choubey, Peayush and Kreisel, Andreas and Berlijn, Tom and Andersen, Brian M. and Hirschfeld, Peter J.},
abstractNote = {We consider the problem of local tunneling into cuprate superconductors, combining model-based calculations for the superconducting order parameter with wave function information obtained from first-principles electronic structure. For some time it has been proposed that scanning tunneling microscopy (STM) spectra do not reflect the properties of the superconducting layer in the CuO2 plane directly beneath the STM tip, but rather a weighted sum of spatially proximate states determined by the details of the tunneling process. These ``filter'' ideas have been countered with the argument that similar conductance patterns have been seen around impurities and charge ordered states in systems with atomically quite different barrier layers. Here we use a recently developed Wannier function-based method to calculate topographies, spectra, conductance maps, and normalized conductance maps close to impurities. We find that it is the local planar Cu dx2–y2 Wannier function, qualitatively similar for many systems, that controls the form of the tunneling spectrum and the spatial patterns near perturbations. Furthermore we explain how, despite the fact that STM observables depend on the materials-specific details of the tunneling process and setup parameters, there is an overall universality in the qualitative features of conductance spectra. In particular, we discuss why STM results on Bi2Sr2CaCu2O8 (BSCCO) and Ca2–xNaxCuO2Cl2 (NaCCOC) are essentially identical.},
doi = {10.1103/PhysRevB.96.174523},
journal = {Physical Review B},
issn = {2469-9950},
number = 17,
volume = 96,
place = {United States},
year = {2017},
month = {11}
}

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Works referenced in this record:

Impurity-induced states in conventional and unconventional superconductors
journal, May 2006


Spectral properties of quasiparticle excitations induced by magnetic moments in superconductors
journal, May 1997


Projector augmented-wave method
journal, December 1994


Incommensurate charge ordered states in the tt ′– J model
journal, January 2017


Interplay of magnetism and high-Tc superconductivity at individual Ni impurity atoms in Bi2Sr2CaCu2O8+δ
journal, June 2001

  • Hudson, E. W.; Lang, K. M.; Madhavan, V.
  • Nature, Vol. 411, Issue 6840
  • DOI: 10.1038/35082019

Electronic band structure of CaBi 2 Sr 2 Cu 2 O 8
journal, April 1988


Defects in correlated metals and superconductors
journal, January 2009


Impurity-induced virtual bound states in d -wave superconductors
journal, June 1995


Universal scaling behavior of the c -axis resistivity of high-temperature superconductors
journal, April 2006


An updated version of wannier90: A tool for obtaining maximally-localised Wannier functions
journal, August 2014

  • Mostofi, Arash A.; Yates, Jonathan R.; Pizzi, Giovanni
  • Computer Physics Communications, Vol. 185, Issue 8
  • DOI: 10.1016/j.cpc.2014.05.003

Imaging the granular structure of high-Tc superconductivity in underdoped Bi2Sr2CaCu2O8+δ
journal, January 2002

  • Lang, K. M.; Madhavan, V.; Hoffman, J. E.
  • Nature, Vol. 415, Issue 6870
  • DOI: 10.1038/415412a

Interpretation of Scanning Tunneling Quasiparticle Interference and Impurity States in Cuprates
journal, May 2015


Microscopic electronic inhomogeneity in the high-Tc superconductor Bi2Sr2CaCu2O8+x
journal, September 2001

  • Pan, S. H.; O'Neal, J. P.; Badzey, R. L.
  • Nature, Vol. 413, Issue 6853
  • DOI: 10.1038/35095012

Imaging the effects of individual zinc impurity atoms on superconductivity in Bi2Sr2CaCu2O8+δ
journal, February 2000

  • Pan, S. H.; Hudson, E. W.; Lang, K. M.
  • Nature, Vol. 403, Issue 6771
  • DOI: 10.1038/35001534

Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
journal, October 1996


Resonant X-Ray Scattering Studies of Charge Order in Cuprates
journal, March 2016


Structure and superconductivity without apical oxygens in (Ca,Na ) 2 CuO 2 Cl 2
journal, April 1995

  • Argyriou, D. N.; Jorgensen, J. D.; Hitterman, R. L.
  • Physical Review B, Vol. 51, Issue 13
  • DOI: 10.1103/PhysRevB.51.8434

From ultrasoft pseudopotentials to the projector augmented-wave method
journal, January 1999


Impact of iron-site defects on superconductivity in LiFeAs
journal, October 2016


VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data
journal, October 2011


Ab initio calculation of impurity effects in copper oxide materials
journal, December 2005


Evolution of the electronic excitation spectrum with strongly diminishing hole density in superconducting Bi2Sr2CaCu2O8+δ
journal, March 2008

  • Alldredge, J. W.; Lee, Jinho; McElroy, K.
  • Nature Physics, Vol. 4, Issue 4
  • DOI: 10.1038/nphys917

Theory of the scanning tunneling microscope
journal, January 1985


Impurity in a d -Wave Superconductor: Kondo Effect and STM Spectra
journal, January 2001


An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
journal, March 2007


Tunneling spectroscopy of the (110) surface of direct-gap III-V semiconductors
journal, August 1994


Quasiparticle interference and superconducting gap in Ca2−xNaxCuO2Cl2
journal, October 2007

  • Hanaguri, T.; Kohsaka, Y.; Davis, J. C.
  • Nature Physics, Vol. 3, Issue 12
  • DOI: 10.1038/nphys753

Atomic-scale electronic structure of the cuprate d-symmetry form factor density wave state
journal, October 2015

  • Hamidian, M. H.; Edkins, S. D.; Kim, Chung Koo
  • Nature Physics, Vol. 12, Issue 2
  • DOI: 10.1038/nphys3519

Impurity States and Interlayer Tunneling in High Temperature Superconductors
journal, February 2002


Spectroscopic Imaging Scanning Tunneling Microscopy Studies of Electronic Structure in the Superconducting and Pseudogap Phases of Cuprate High- T c Superconductors
journal, January 2012

  • Fujita, Kazuhiro; R. Schmidt, Andrew; Kim, Eun-Ah
  • Journal of the Physical Society of Japan, Vol. 81, Issue 1
  • DOI: 10.1143/JPSJ.81.011005

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


Effect of unitary impurities on non-STM types of tunneling in high- T c superconductors
journal, September 2000


Universal nodal Fermi velocity
journal, May 2003

  • Zhou, X. J.; Yoshida, T.; Lanzara, A.
  • Nature, Vol. 423, Issue 6938
  • DOI: 10.1038/423398a

Spectral decomposition and matrix element effects in scanning tunneling spectroscopy of Bi 2 Sr 2 CaCu 2 O 8 + δ
journal, October 2009


Simultaneous Transitions in Cuprate Momentum-Space Topology and Electronic Symmetry Breaking
journal, May 2014


How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+δ
journal, August 2008


Visualization of atomic-scale phenomena in superconductors: Application to FeSe
journal, October 2014


Scanning tunneling spectroscopy of high-temperature superconductors
journal, March 2007

  • Fischer, Øystein; Kugler, Martin; Maggio-Aprile, Ivan
  • Reviews of Modern Physics, Vol. 79, Issue 1
  • DOI: 10.1103/RevModPhys.79.353

Angle-resolved photoemission studies of the cuprate superconductors
journal, April 2003

  • Damascelli, Andrea; Hussain, Zahid; Shen, Zhi-Xun
  • Reviews of Modern Physics, Vol. 75, Issue 2
  • DOI: 10.1103/RevModPhys.75.473