2008
DOI: 10.1103/physrevlett.101.216802
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Kondo Effect in Single Atom Contacts: The Importance of the Atomic Geometry

Abstract: Let k be a positive integer and let G k denote the set of all joint distributions of k-tuples (a 1 , . . . , a k ) in a non-commutative probability space (A, ϕ) such that ϕ(a 1 ) = · · · = ϕ(a k ) = 1. G k is a group under the operation of free multiplicative convolution ⊠. We identify G k , ⊠ as the group of characters of a certain Hopf algebra Y (k) . Then, by using the log map from characters to infinitesimal characters of Y (k) , we introduce a transform LS µ for distributions µ ∈ G k . LS µ is a power ser… Show more

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Cited by 68 publications
(84 citation statements)
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References 29 publications
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“…This leads us to believe that indeed a single impurity determines the zero-bias anomalies. On a small scale, pronounced Kondo phenomena were observed, for example, for tunneling into a single magnetic atom on a metallic surface [19]. But magnetic impurities are not really needed.…”
Section: Discussionmentioning
confidence: 99%
“…This leads us to believe that indeed a single impurity determines the zero-bias anomalies. On a small scale, pronounced Kondo phenomena were observed, for example, for tunneling into a single magnetic atom on a metallic surface [19]. But magnetic impurities are not really needed.…”
Section: Discussionmentioning
confidence: 99%
“…For Cu-coated W tips all parameters are essentially constant throughout the tunneling, transition and contact ranges in agreement with previous results. 17 Obviously, the chemical identity of the tip apex atom determines the degree of hybridization. The splitting of the resonance due to the magnetic dipole field of the Fe tip at the adatom site is too low to explain the observed broadening.…”
Section: 25mentioning
confidence: 99%
“…Despite the continuous progress, the electron conductance measured using either a scanning tunneling microscope (STM) or a break-junction device [6][7][8][9][10][11][12][13] has so far not elucidated this question clearly. The strength of the metal-molecule coupling, and in particular its variation during the contact formation, can be characterized through the spectroscopic signal of the molecular vibrations as measured by inelastic electron tunneling spectroscopy (IETS).…”
mentioning
confidence: 99%