2011
DOI: 10.1103/physrevb.84.045439
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Cotunneling theory of atomic spin inelastic electron tunneling spectroscopy

Abstract: We propose cotunneling as the microscopic mechanism that makes possible inelastic electron tunneling spectroscopy of magnetic atoms in surfaces for a wide range of systems, including single magnetic adatoms, molecules, and molecular stacks. We describe electronic transport between the scanning tip and the conducting surface through the magnetic system (MS) with a generalized Anderson model, without making use of effective spin models. Transport and spin dynamics are described with an effective cotunneling Hami… Show more

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Cited by 37 publications
(61 citation statements)
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References 54 publications
(200 reference statements)
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“…The strength of the hopping V dk from the adatom to the bath [14], and the valency [15] dictate whether the electronic structure of the adatom can still be described by an atomic multiplet structure, itinerant electrons, or a degree of both with distinct correlation effects. For negligible hybridization V dk ≈ 0, referred to as an atomic (A) impurity in the following, the system can be understood in terms of crystal field splittings ∆ CF and spin-orbit coupling (SOC) ξls with a well-defined valency and (half-) integer quantized spin [16][17][18][19]. With weak hybridization, the adatom retains its integer valency but correlations between the atomic spin and the surface electrons, such as a Kondo singlet formation, can set in [20,21].…”
mentioning
confidence: 99%
“…The strength of the hopping V dk from the adatom to the bath [14], and the valency [15] dictate whether the electronic structure of the adatom can still be described by an atomic multiplet structure, itinerant electrons, or a degree of both with distinct correlation effects. For negligible hybridization V dk ≈ 0, referred to as an atomic (A) impurity in the following, the system can be understood in terms of crystal field splittings ∆ CF and spin-orbit coupling (SOC) ξls with a well-defined valency and (half-) integer quantized spin [16][17][18][19]. With weak hybridization, the adatom retains its integer valency but correlations between the atomic spin and the surface electrons, such as a Kondo singlet formation, can set in [20,21].…”
mentioning
confidence: 99%
“…In fact, the topographic image of the Mn dimer shows that the STM is not capable of distinguishing both atoms: the dimer appears as a single and longer protuberance in the Cu 2 N surface. From the theoretical point of view, this cancellation arises from the fact that, in this particular case, the operator in the transition matrix element (5) is the total spin of the dimer, and therefore, then the eigenstates of S 2 and S z are also eigenstates of V. This problem appears not only in transport theories based on an exchange coupling between the localized spin and the transport electrons [1724], but also in a two-site Hubbard model [25]. It is worth pointing out that this problem is specic of the dimer.…”
Section: Resultsmentioning
confidence: 99%
“…We use τ (a) andŜ a for the Pauli matrices and the spin operators, whileÎ is the identity matrix. Neglecting the momentum dependence, which can be safely done for the low bias applied in IETS [14], one can write v λ (i) ≡ v η (i) [25], where v S (i) and v T (i) are dimensionless factors that scale as the surfaceadatom and tipadatom hopping integrals.…”
Section: Modelmentioning
confidence: 99%
“…Such a density-of-states effect produces a nontrivial slope in the conductance as a function of bias. 26 The on-site energy shift, however, does not account for the asymmetry seen in the inelastic step heights, which also depends on bias and on the ratio between tip and substrate coupling to the sample. 27,28 Here, we provide an alternative theoretical description, which allows us to better fit the experimentally found conductance line shape.…”
Section: G(v ) = G(−v )mentioning
confidence: 99%