Scanning tunneling shot-noise spectroscopy in Kondo systems
Abstract
Using a large- theory in combination with the Keldysh nonequilibrium Green's function formalism, we investigate the current, differential conductance, zero-frequency shot noise, and Fano factor as measured by scanning tunneling shot-noise spectroscopy (STSNS) using a scanning tunneling microscope (STM) near single Kondo impurities and in Kondo lattices. We show that the Fano factor exhibits a characteristic bias dependence arising from Kondo screening that is similar to the Kondo resonance observed in the differential conductance. Moreover, the line shape of is strongly dependent on the ratio of the tunneling amplitudes for electron tunneling from the STM tip into the conduction band and electronic levels of the magnetic adatoms. We demonstrate that the Fano factor can be enhanced or suppressed due to interference effects and as such, is not only a sensitive probe for the correlation effects arising from Kondo screening, but also for quantum interference between tunneling electrons. We identify a correlation between the form of the differential conductance and the Fano factor that could be tested in future STSNS experiments.
- Authors:
-
- Univ. of Illinois, Chicago, IL (United States)
- Publication Date:
- Research Org.:
- Univ. of Illinois, Chicago, IL (United States); Univ. of Illinois at Urbana-Champaign, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1618191
- Alternate Identifier(s):
- OSTI ID: 1563012; OSTI ID: 1609690
- Grant/Contract Number:
- FG02-05ER46225
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 12; 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; Adsorption; Kondo effect; Noise; Nonequilibrium Green's function; Scanning tunneling spectroscopy; Materials Science; Physics
Citation Formats
Cocklin, Sagen, and Morr, Dirk K. Scanning tunneling shot-noise spectroscopy in Kondo systems. United States: N. p., 2019.
Web. doi:10.1103/PhysRevB.100.125146.
Cocklin, Sagen, & Morr, Dirk K. Scanning tunneling shot-noise spectroscopy in Kondo systems. United States. https://doi.org/10.1103/PhysRevB.100.125146
Cocklin, Sagen, and Morr, Dirk K. Fri .
"Scanning tunneling shot-noise spectroscopy in Kondo systems". United States. https://doi.org/10.1103/PhysRevB.100.125146. https://www.osti.gov/servlets/purl/1618191.
@article{osti_1618191,
title = {Scanning tunneling shot-noise spectroscopy in Kondo systems},
author = {Cocklin, Sagen and Morr, Dirk K.},
abstractNote = {Using a large-N theory in combination with the Keldysh nonequilibrium Green's function formalism, we investigate the current, differential conductance, zero-frequency shot noise, and Fano factor as measured by scanning tunneling shot-noise spectroscopy (STSNS) using a scanning tunneling microscope (STM) near single Kondo impurities and in Kondo lattices. We show that the Fano factor F exhibits a characteristic bias dependence arising from Kondo screening that is similar to the Kondo resonance observed in the differential conductance. Moreover, the line shape of F is strongly dependent on the ratio of the tunneling amplitudes for electron tunneling from the STM tip into the conduction band and electronic levels of the magnetic adatoms. We demonstrate that the Fano factor can be enhanced or suppressed due to interference effects and as such, is not only a sensitive probe for the correlation effects arising from Kondo screening, but also for quantum interference between tunneling electrons. We identify a correlation between the form of the differential conductance and the Fano factor that could be tested in future STSNS experiments.},
doi = {10.1103/PhysRevB.100.125146},
journal = {Physical Review. B},
number = 12,
volume = 100,
place = {United States},
year = {Fri Sep 20 00:00:00 EDT 2019},
month = {Fri Sep 20 00:00:00 EDT 2019}
}
Web of Science
Works referenced in this record:
Radio-frequency scanning tunnelling microscopy
journal, November 2007
- Kemiktarak, U.; Ndukum, T.; Schwab, K. C.
- Nature, Vol. 450, Issue 7166
Noise spectroscopy of a single spin with spin-polarized STM
journal, August 2003
- Nussinov, Z.; Crommie, M. F.; Balatsky, A. V.
- Physical Review B, Vol. 68, Issue 8
Fractional Shot Noise in the Kondo Regime
journal, August 2006
- Sela, Eran; Oreg, Yuval; von Oppen, Felix
- Physical Review Letters, Vol. 97, Issue 8
Kondo Scattering Observed at a Single Magnetic Impurity
journal, March 1998
- Li, Jiutao; Schneider, Wolf-Dieter; Berndt, Richard
- Physical Review Letters, Vol. 80, Issue 13
Universality of non-equilibrium fluctuations in strongly correlated quantum liquids
journal, November 2015
- Ferrier, Meydi; Arakawa, Tomonori; Hata, Tokuro
- Nature Physics, Vol. 12, Issue 3
Atomic-scale visualization of surface-assisted orbital order
journal, September 2017
- Kim, Howon; Yoshida, Yasuo; Lee, Chi-Cheng
- Science Advances, Vol. 3, Issue 9
Direct calculation of the tunneling current
journal, June 1971
- Caroli, C.; Combescot, R.; Nozieres, P.
- Journal of Physics C: Solid State Physics, Vol. 4, Issue 8
expansion for the Kondo lattice
journal, November 1983
- Coleman, Piers
- Physical Review B, Vol. 28, Issue 9
Atomic scale shot-noise using cryogenic MHz circuitry
journal, September 2018
- Massee, F.; Dong, Q.; Cavanna, A.
- Review of Scientific Instruments, Vol. 89, Issue 9
On the solution of the Coqblin-Schreiffer Hamiltonian by the large-N expansion technique
journal, June 1983
- Read, N.; Newns, D. M.
- Journal of Physics C: Solid State Physics, Vol. 16, Issue 17
Shot noise in strongly correlated double quantum dots
journal, June 2004
- López, Rosa; Aguado, Ramón; Platero, Gloria
- Physical Review B, Vol. 69, Issue 23
Evolution of the Kondo Effect in a Quantum Dot Probed by Shot Noise
journal, April 2011
- Yamauchi, Yoshiaki; Sekiguchi, Koji; Chida, Kensaku
- Physical Review Letters, Vol. 106, Issue 17
Fourier-transform scanning tunneling microscopy investigation of the energy versus wave vector dispersion of electrons at the Au(111) surface
journal, May 2009
- Schouteden, K.; Lievens, P.; Van Haesendonck, C.
- Physical Review B, Vol. 79, Issue 19
Shot Noise through a Quantum Dot in the Kondo Regime
journal, March 2002
- Meir, Yigal; Golub, Anatoly
- Physical Review Letters, Vol. 88, Issue 11
Amplifier for scanning tunneling microscopy at MHz frequencies
journal, September 2018
- Bastiaans, K. M.; Benschop, T.; Chatzopoulos, D.
- Review of Scientific Instruments, Vol. 89, Issue 9
Resistance Minimum in Dilute Magnetic Alloys
journal, July 1964
- Kondo, J.
- Progress of Theoretical Physics, Vol. 32, Issue 1, p. 37-49
Kondo Breakdown and Hybridization Fluctuations in the Kondo-Heisenberg Lattice
journal, January 2007
- Paul, I.; Pépin, C.; Norman, M. R.
- Physical Review Letters, Vol. 98, Issue 2
Theory of current and shot-noise spectroscopy in single-molecular quantum dots with a phonon mode
journal, April 2003
- Zhu, Jian-Xin; Balatsky, A. V.
- Physical Review B, Vol. 67, Issue 16
Differential Conductance and Quantum Interference in Kondo Systems
journal, May 2010
- Figgins, Jeremy; Morr, Dirk K.
- Physical Review Letters, Vol. 104, Issue 18
Spatial variation of currents and fields due to localized scatterers in metallic conduction
journal, May 1988
- Landauer, R.
- IBM Journal of Research and Development, Vol. 32, Issue 3
Nonequilibrium current and noise in inelastic tunneling through a magnetic atom
journal, August 2010
- Sothmann, Björn; König, Jürgen
- New Journal of Physics, Vol. 12, Issue 8
Current Noise through a Kondo Quantum Dot in a Fermi Liquid State
journal, January 2008
- Mora, Christophe; Leyronas, Xavier; Regnault, Nicolas
- Physical Review Letters, Vol. 100, Issue 3
Tunneling into a Single Magnetic Atom: Spectroscopic Evidence of the Kondo Resonance
journal, April 1998
- Madhavan, V.
- Science, Vol. 280, Issue 5363
Kondo Effect of Single Co Adatoms on Cu Surfaces
journal, February 2002
- Knorr, Nikolaus; Schneider, M. Alexander; Diekhöner, Lars
- Physical Review Letters, Vol. 88, Issue 9
Hidden order transition in URu Si : Evidence for the emergence of a coherent Anderson lattice from scanning tunneling spectroscopy
journal, July 2012
- Yuan, Ting; Figgins, Jeremy; Morr, Dirk K.
- Physical Review B, Vol. 86, Issue 3
Fundamental quantum noise mapping with tunnelling microscopes tested at surface structures of subatomic lateral size
journal, January 2013
- Herz, Markus; Bouvron, Samuel; Ćavar, Elizabeta
- Nanoscale, Vol. 5, Issue 20
Quantum field-theoretical methods in transport theory of metals
journal, April 1986
- Rammer, J.; Smith, H.
- Reviews of Modern Physics, Vol. 58, Issue 2
Large- n limit of the Heisenberg-Hubbard model: Implications for high- superconductors
journal, March 1988
- Affleck, Ian; Marston, J. Brad
- Physical Review B, Vol. 37, Issue 7
Noisy defects in the high-Tc superconductor Bi2Sr2CaCu2O8+x
journal, February 2019
- Massee, F.; Huang, Y. K.; Golden, M. S.
- Nature Communications, Vol. 10, Issue 1
Quantum mirages formed by coherent projection of electronic structure
journal, February 2000
- Manoharan, H. C.; Lutz, C. P.; Eigler, D. M.
- Nature, Vol. 403, Issue 6769
Local spectroscopy of a Kondo impurity: Co on Au(111)
journal, October 2001
- Madhavan, V.; Chen, W.; Jamneala, T.
- Physical Review B, Vol. 64, Issue 16
Transport through a strongly correlated quantum dot with Fano interference
journal, October 2005
- Wu, B. H.; Cao, J. C.; Ahn, Kang-Hun
- Physical Review B, Vol. 72, Issue 16
Theory of scanning tunneling spectroscopy: from Kondo impurities to heavy fermion materials
journal, November 2016
- Morr, Dirk K.
- Reports on Progress in Physics, Vol. 80, Issue 1
Shot Noise as a Probe of Spin-Polarized Transport through Single Atoms
journal, January 2015
- Burtzlaff, Andreas; Weismann, Alexander; Brandbyge, Mads
- Physical Review Letters, Vol. 114, Issue 1
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
Effects of Configuration Interaction on Intensities and Phase Shifts
journal, December 1961
- Fano, U.
- Physical Review, Vol. 124, Issue 6
Nonequilibrium Spintronic Transport through an Artificial Kondo Impurity: Conductance, Magnetoresistance, and Shot Noise
journal, March 2003
- López, Rosa; Sánchez, David
- Physical Review Letters, Vol. 90, Issue 11
Visualizing the formation of the Kondo lattice and the hidden order in URu2Si2
journal, May 2010
- Aynajian, P.; da Silva Neto, E. H.; Parker, C. V.
- Proceedings of the National Academy of Sciences, Vol. 107, Issue 23
Site-Dependent Evolution of Electrical Conductance from Tunneling to Atomic Point Contact
journal, May 2015
- Kim, Howon; Hasegawa, Yukio
- Physical Review Letters, Vol. 114, Issue 20
Weak magnetism and non-Fermi liquids near heavy-fermion critical points
journal, January 2004
- Senthil, T.; Vojta, Matthias; Sachdev, Subir
- Physical Review B, Vol. 69, Issue 3
Electron Cotunneling into a Kondo Lattice
journal, November 2009
- Maltseva, Marianna; Dzero, M.; Coleman, P.
- Physical Review Letters, Vol. 103, Issue 20
Probing the Kondo screening cloud via tunneling-current conductance fluctuations
journal, December 2009
- Patton, Kelly R.; Hafermann, Hartmut; Brener, Sergej
- Physical Review B, Vol. 80, Issue 21
Spatial Variation of Currents and Fields Due to Localized Scatterers in Metallic Conduction
journal, July 1957
- Landauer, R.
- IBM Journal of Research and Development, Vol. 1, Issue 3
Effect of the Kondo correlation on shot noise in a quantum dot
journal, May 2002
- Dong, Bing; Lei, X. L.
- Journal of Physics: Condensed Matter, Vol. 14, Issue 19
Noisy Kondo impurities
journal, January 2009
- Delattre, T.; Feuillet-Palma, C.; Herrmann, L. G.
- Nature Physics, Vol. 5, Issue 3
Review of techniques in the large- expansion for dilute magnetic alloys
journal, October 1987
- Bickers, N. E.
- Reviews of Modern Physics, Vol. 59, Issue 4
Two-electron bunching in transport through a quantum dot induced by Kondo correlations
journal, June 2008
- Zarchin, O.; Zaffalon, M.; Heiblum, M.
- Physical Review B, Vol. 77, Issue 24
Shot-Noise Suppression in the Single-Electron Tunneling Regime
journal, August 1995
- Birk, H.; de Jong, M. J. M.; Schönenberger, C.
- Physical Review Letters, Vol. 75, Issue 8
Shot noise in mesoscopic conductors
journal, September 2000
- Blanter, Ya. M.; Büttiker, M.
- Physics Reports, Vol. 336, Issue 1-2
Current noise through a Kondo quantum dot in a SU(N) Fermi liquid state
text, January 2007
- Mora, Christophe; Leyronas, Xavier; Regnault, Nicolas
- arXiv
Electron Cotunneling into a Kondo Lattice
text, January 2009
- Maltseva, Marianna; Dzero, M.; Coleman, P.
- arXiv
Differential Conductance and Quantum Interference in Kondo Systems
text, January 2010
- Figgins, Jeremy; Morr, Dirk K.
- arXiv
Visualizing the Formation of the Kondo Lattice and the Hidden Order in URu2Si2
text, January 2010
- Aynajian, Pegor; Neto, Eduardo H. da Silva; Parker, Colin V.
- arXiv
Evolution of the Kondo Effect in a Quantum Dot Probed by the Shot Noise
text, January 2011
- Yamauchi, Yoshiaki; Sekiguchi, Koji; Chida, Kensaku
- arXiv
Site-dependent evolution of electrical conductance from tunneling to atomic point contact
text, January 2015
- Kim, Howon; Hasegawa, Yukio
- arXiv
Universality of Non-equilibrium Fluctuations in Strongly Correlated Quantum Liquids
text, January 2015
- Ferrier, Meydi; Arakawa, Tomonori; Hata, Tokuro
- arXiv
Effect of the Kondo correlation on Shot Noise in a Quantum Dot
text, January 2001
- Dong, Bing; Lei, X. L.
- arXiv
Noise spectroscopy of a single spin with spin polarized STM
text, January 2003
- Nussinov, Z.; Crommie, M. F.; Balatsky, A. V.
- arXiv
Weak magnetism and non-Fermi liquids near heavy-fermion critical points
text, January 2003
- Senthil, T.; Vojta, Matthias; Sachdev, Subir
- arXiv
Transport through a Strongly Correlated Quantum-Dot with Fano Interference
text, January 2005
- Wu, B. H.; Cao, J. C.; Ahn, Kang-Hun
- arXiv
Fractional Shot Noise in the Kondo Regime
text, January 2006
- Sela, Eran; Oreg, Yuval; von Oppen, Felix
- arXiv
Factors of Exchange Rates' Formation: Pluralism of Models, Theories and Concepts
journal, January 2003
- Balatsky, E.
- World Economy and International Relations, Issue 1
Visualizing the Formation of the Kondo Lattice and the Hidden Order in URu2Si2
text, January 2010
- Aynajian, Pegor; Neto, Eduardo H. da Silva; Parker, Colin V.
- arXiv