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Title: Scanning tunneling shot-noise spectroscopy in Kondo systems

Abstract

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.

Authors:
 [1]; ORCiD logo [1]
  1. 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 = {2019},
month = {9}
}

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Cited by: 1 work
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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
  • DOI: 10.1038/nature06238

Noise spectroscopy of a single spin with spin-polarized STM
journal, August 2003


Fractional Shot Noise in the Kondo Regime
journal, August 2006


Kondo Scattering Observed at a Single Magnetic Impurity
journal, March 1998


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
  • DOI: 10.1038/nphys3556

Atomic-scale visualization of surface-assisted orbital order
journal, September 2017


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
  • DOI: 10.1088/0022-3719/4/8/018

1 N expansion for the Kondo lattice
journal, November 1983


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
  • DOI: 10.1063/1.5043261

On the solution of the Coqblin-Schreiffer Hamiltonian by the large-N expansion technique
journal, June 1983


Shot noise in strongly correlated double quantum dots
journal, June 2004


Evolution of the Kondo Effect in a Quantum Dot Probed by Shot Noise
journal, April 2011


Fourier-transform scanning tunneling microscopy investigation of the energy versus wave vector dispersion of electrons at the Au(111) surface
journal, May 2009


Shot Noise through a Quantum Dot in the Kondo Regime
journal, March 2002


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
  • DOI: 10.1063/1.5043267

Resistance Minimum in Dilute Magnetic Alloys
journal, July 1964

  • Kondo, J.
  • Progress of Theoretical Physics, Vol. 32, Issue 1, p. 37-49
  • DOI: 10.1143/PTP.32.37

Kondo Breakdown and Hybridization Fluctuations in the Kondo-Heisenberg Lattice
journal, January 2007


Theory of current and shot-noise spectroscopy in single-molecular quantum dots with a phonon mode
journal, April 2003


Differential Conductance and Quantum Interference in Kondo Systems
journal, May 2010


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
  • DOI: 10.1147/rd.323.0306

Nonequilibrium current and noise in inelastic tunneling through a magnetic atom
journal, August 2010


Current Noise through a Kondo Quantum Dot in a SU ( N ) Fermi Liquid State
journal, January 2008


Kondo Effect of Single Co Adatoms on Cu Surfaces
journal, February 2002


Hidden order transition in URu 2 Si 2 : Evidence for the emergence of a coherent Anderson lattice from scanning tunneling spectroscopy
journal, July 2012


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
  • DOI: 10.1039/c3nr02216a

Quantum field-theoretical methods in transport theory of metals
journal, April 1986


Large- n limit of the Heisenberg-Hubbard model: Implications for high- T c superconductors
journal, March 1988


Noisy defects in the high-Tc superconductor Bi2Sr2CaCu2O8+x
journal, February 2019


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
  • DOI: 10.1038/35000508

Local spectroscopy of a Kondo impurity: Co on Au(111)
journal, October 2001


Transport through a strongly correlated quantum dot with Fano interference
journal, October 2005


Theory of scanning tunneling spectroscopy: from Kondo impurities to heavy fermion materials
journal, November 2016


Shot Noise as a Probe of Spin-Polarized Transport through Single Atoms
journal, January 2015


Charge trapping and super-Poissonian noise centres in a cuprate superconductor
journal, October 2018


The Kondo Problem to Heavy Fermions
book, January 1993


Effects of Configuration Interaction on Intensities and Phase Shifts
journal, December 1961


Nonequilibrium Spintronic Transport through an Artificial Kondo Impurity: Conductance, Magnetoresistance, and Shot Noise
journal, March 2003


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
  • DOI: 10.1073/pnas.1005892107

Site-Dependent Evolution of Electrical Conductance from Tunneling to Atomic Point Contact
journal, May 2015


Weak magnetism and non-Fermi liquids near heavy-fermion critical points
journal, January 2004


Electron Cotunneling into a Kondo Lattice
journal, November 2009


Probing the Kondo screening cloud via tunneling-current conductance fluctuations
journal, December 2009


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
  • DOI: 10.1147/rd.13.0223

Effect of the Kondo correlation on shot noise in a quantum dot
journal, May 2002


Noisy Kondo impurities
journal, January 2009

  • Delattre, T.; Feuillet-Palma, C.; Herrmann, L. G.
  • Nature Physics, Vol. 5, Issue 3
  • DOI: 10.1038/nphys1186

Review of techniques in the large- N expansion for dilute magnetic alloys
journal, October 1987


Two-electron bunching in transport through a quantum dot induced by Kondo correlations
journal, June 2008


Shot-Noise Suppression in the Single-Electron Tunneling Regime
journal, August 1995


Shot noise in mesoscopic conductors
journal, September 2000


Current noise through a Kondo quantum dot in a SU(N) Fermi liquid state
text, January 2007


Electron Cotunneling into a Kondo Lattice
text, January 2009


Differential Conductance and Quantum Interference in Kondo Systems
text, January 2010


Visualizing the Formation of the Kondo Lattice and the Hidden Order in URu2Si2
text, January 2010


Evolution of the Kondo Effect in a Quantum Dot Probed by the Shot Noise
text, January 2011


Universality of Non-equilibrium Fluctuations in Strongly Correlated Quantum Liquids
text, January 2015


Noise spectroscopy of a single spin with spin polarized STM
text, January 2003


Weak magnetism and non-Fermi liquids near heavy-fermion critical points
text, January 2003


Transport through a Strongly Correlated Quantum-Dot with Fano Interference
text, January 2005


Fractional Shot Noise in the Kondo Regime
text, January 2006


Shot Noise in Mesoscopic Conductors
text, January 1999