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 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 onmore »
- Authors:
-
- Univ. of Florida, Gainesville, FL (United States); Indian Institute of Science, Bengaluru (India)
- Univ. Leipzig, Leipzig (Germany); Univ. of Copenhagen, Copenhagen (Denmark)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Univ. of Copenhagen, Copenhagen (Denmark)
- 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)
- OSTI Identifier:
- 1484148
- Alternate Identifier(s):
- OSTI ID: 1410467
- Grant/Contract Number:
- AC05-00OR22725; AC02-05CH11231
- Resource Type:
- 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. https://doi.org/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. https://doi.org/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},
number = 17,
volume = 96,
place = {United States},
year = {Tue Nov 28 00:00:00 EST 2017},
month = {Tue Nov 28 00:00:00 EST 2017}
}
Web of Science
Works referenced in this record:
Impurity-induced states in conventional and unconventional superconductors
journal, May 2006
- Balatsky, A. V.; Vekhter, I.; Zhu, Jian-Xin
- Reviews of Modern Physics, Vol. 78, Issue 2
Spectral properties of quasiparticle excitations induced by magnetic moments in superconductors
journal, May 1997
- Salkola, M. I.; Balatsky, A. V.; Schrieffer, J. R.
- Physical Review B, Vol. 55, Issue 18
Projector augmented-wave method
journal, December 1994
- Blöchl, P. E.
- Physical Review B, Vol. 50, Issue 24, p. 17953-17979
Incommensurate charge ordered states in the t – t ′– J model
journal, January 2017
- Choubey, Peayush; Tu, Wei-Lin; Lee, Ting-Kuo
- New Journal of Physics, Vol. 19, Issue 1
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
Electronic band structure of
journal, April 1988
- Hybertsen, Mark S.; Mattheiss, L. F.
- Physical Review Letters, Vol. 60, Issue 16
Defects in correlated metals and superconductors
journal, January 2009
- Alloul, H.; Bobroff, J.; Gabay, M.
- Reviews of Modern Physics, Vol. 81, Issue 1
Impurity-induced virtual bound states in d -wave superconductors
journal, June 1995
- Balatsky, A. V.; Salkola, M. I.; Rosengren, A.
- Physical Review B, Vol. 51, Issue 21
Universal scaling behavior of the -axis resistivity of high-temperature superconductors
journal, April 2006
- Su, Y. H.; Luo, H. G.; Xiang, T.
- Physical Review B, Vol. 73, Issue 13
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
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
Interpretation of Scanning Tunneling Quasiparticle Interference and Impurity States in Cuprates
journal, May 2015
- Kreisel, A.; Choubey, Peayush; Berlijn, T.
- Physical Review Letters, Vol. 114, Issue 21
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
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
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
journal, October 1996
- Kresse, G.; Furthmüller, J.
- Physical Review B, Vol. 54, Issue 16, p. 11169-11186
Resonant X-Ray Scattering Studies of Charge Order in Cuprates
journal, March 2016
- Comin, Riccardo; Damascelli, Andrea
- Annual Review of Condensed Matter Physics, Vol. 7, Issue 1
Structure and superconductivity without apical oxygens in (Ca,Na
journal, April 1995
- Argyriou, D. N.; Jorgensen, J. D.; Hitterman, R. L.
- Physical Review B, Vol. 51, Issue 13
From ultrasoft pseudopotentials to the projector augmented-wave method
journal, January 1999
- Kresse, G.; Joubert, D.
- Physical Review B, Vol. 59, Issue 3, p. 1758-1775
Extended Hubbard model with renormalized Wannier wave functions in the correlated state III: Statistically consistent Gutzwiller approximation and the metallization of atomic solid hydrogen
journal, June 2013
- Kądzielawa, Andrzej P.; Spałek, Jozef; Kurzyk, Jan
- The European Physical Journal B, Vol. 86, Issue 6
Impact of iron-site defects on superconductivity in LiFeAs
journal, October 2016
- Chi, Shun; Aluru, Ramakrishna; Singh, Udai Raj
- Physical Review B, Vol. 94, Issue 13
VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data
journal, October 2011
- Momma, Koichi; Izumi, Fujio
- Journal of Applied Crystallography, Vol. 44, Issue 6
Ab initio calculation of impurity effects in copper oxide materials
journal, December 2005
- Wang, L. -L.; Hirschfeld, P. J.; Cheng, H. -P.
- Physical Review B, Vol. 72, Issue 22
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
Theory of the scanning tunneling microscope
journal, January 1985
- Tersoff, J.; Hamann, D. R.
- Physical Review B, Vol. 31, Issue 2
Impurity in a -Wave Superconductor: Kondo Effect and STM Spectra
journal, January 2001
- Polkovnikov, Anatoli; Sachdev, Subir; Vojta, Matthias
- Physical Review Letters, Vol. 86, Issue 2
An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
journal, March 2007
- Kohsaka, Y.; Taylor, C.; Fujita, K.
- Science, Vol. 315, Issue 5817
Tunneling spectroscopy of the (110) surface of direct-gap III-V semiconductors
journal, August 1994
- Feenstra, R. M.
- Physical Review B, Vol. 50, Issue 7
Quasiparticle interference and superconducting gap in Ca2−xNaxCuO2Cl2
journal, October 2007
- Hanaguri, T.; Kohsaka, Y.; Davis, J. C.
- Nature Physics, Vol. 3, Issue 12
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
Impurity States and Interlayer Tunneling in High Temperature Superconductors
journal, February 2002
- Martin, I.; Balatsky, A. V.; Zaanen, J.
- Physical Review Letters, Vol. 88, Issue 9
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
Van Hove features in and effective parameters for Ni impurities inferred from STM spectra
journal, August 2002
- Tang, Jian-Ming; Flatté, Michael E.
- Physical Review B, Vol. 66, Issue 6
Effect of unitary impurities on non-STM types of tunneling in high- superconductors
journal, September 2000
- Zhu, Jian-Xin; Ting, C. S.; Hu, Chia-Ren
- Physical Review B, Vol. 62, Issue 9
Coincidence of Checkerboard Charge Order and Antinodal State Decoherence in Strongly Underdoped Superconducting
journal, May 2005
- McElroy, K.; Lee, D. -H.; Hoffman, J. E.
- Physical Review Letters, Vol. 94, Issue 19
Universal nodal Fermi velocity
journal, May 2003
- Zhou, X. J.; Yoshida, T.; Lanzara, A.
- Nature, Vol. 423, Issue 6938
Spectral decomposition and matrix element effects in scanning tunneling spectroscopy of
journal, October 2009
- Nieminen, Jouko; Suominen, Ilpo; Markiewicz, R. S.
- Physical Review B, Vol. 80, Issue 13
Simultaneous Transitions in Cuprate Momentum-Space Topology and Electronic Symmetry Breaking
journal, May 2014
- Fujita, K.; Kim, C. K.; Lee, I.
- Science, Vol. 344, Issue 6184
How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+δ
journal, August 2008
- Kohsaka, Y.; Taylor, C.; Wahl, P.
- Nature, Vol. 454, Issue 7208
Visualization of atomic-scale phenomena in superconductors: Application to FeSe
journal, October 2014
- Choubey, Peayush; Berlijn, T.; Kreisel, A.
- Physical Review B, Vol. 90, Issue 13
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
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
wannier90: A tool for obtaining maximally-localised Wannier functions
dataset, January 2019
- Mostofi, Arash A.
- Mendeley
Works referencing / citing this record:
Charge trapping and super-Poissonian noise centres in a cuprate superconductor
journal, October 2018
- Bastiaans, K. M.; Cho, D.; Benschop, T.
- Nature Physics, Vol. 14, Issue 12
Atomic manipulation of the gap in Bi 2 Sr 2 CaCu 2 O 8+x
journal, January 2020
- Massee, F.; Huang, Y. K.; Aprili, M.
- Science, Vol. 367, Issue 6473
Atomic manipulation of the gap in Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+x}$
text, January 2020
- Massee, F.; Huang, Y. K.; Aprili, M.
- arXiv