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      Mechanical Control of Spin States in Spin-1 Molecules and the Underscreened Kondo Effect

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          Abstract

          The ability to make electrical contact to single molecules creates opportunities to examine fundamental processes governing electron flow on the smallest possible length scales. We report experiments in which we controllably stretch individual cobalt complexes having spin S = 1, while simultaneously measuring current flow through the molecule. The molecule's spin states and magnetic anisotropy were manipulated in the absence of a magnetic field by modification of the molecular symmetry. This control enabled quantitative studies of the underscreened Kondo effect, in which conduction electrons only partially compensate the molecular spin. Our findings demonstrate a mechanism of spin control in single-molecule devices and establish that they can serve as model systems for making precision tests of correlated-electron theories.

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          Fabrication of metallic electrodes with nanometer separation by electromigration

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            Quantum phase transition in a single-molecule quantum dot

            Quantum criticality is the intriguing possibility offered by the laws of quantum mechanics when the wave function of a many-particle physical system is forced to evolve continuously between two distinct, competing ground states. This phenomenon, often related to a zero-temperature magnetic phase transition, can be observed in several strongly correlated materials such as heavy fermion compounds or possibly high-temperature superconductors, and is believed to govern many of their fascinating, yet still unexplained properties. In contrast to these bulk materials with very complex electronic structure, artificial nanoscale devices could offer a new and simpler vista to the comprehension of quantum phase transitions. This long-sought possibility is demonstrated by our work in a fullerene molecular junction, where gate voltage induces a crossing of singlet and triplet spin states at zero magnetic field. Electronic tunneling from metallic contacts into the \(\rm{C_{60}}\) quantum dot provides here the necessary many-body correlations to observe a true quantum critical behavior.
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              Transport Coefficients of the Anderson Model via the Numerical Renormalization Group

              The transport coefficients of the Anderson model are calculated by extending Wilson's NRG method to finite temperature Green's functions. Accurate results for the frequency and temperature dependence of the single--particle spectral densities and transport time \(\tau(\omega,T)\) are obtained and used to extract the temperature dependence of the transport coefficients in the strong correlation limit. The low temperature anomalies in the resistivity, \(\rho(T)\), thermopower, \(S(T)\), thermal conductivity \(\kappa(T)\) and Hall coefficient, \(R_{H}(T)\), are discussed. All quantities exhibit the expected Fermi liquid behaviour at low temperature with power law dependecies on \(T/T_{K}\) in very good agreement with analytic results based on Fermi liquid theory. Scattering of conduction electrons in higher, \(l>0\), angular momentum channels is also considered and an expression is derived for the corresponding transport time and used to discuss the influence of non--resonant scattering on the transport properties.
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                Author and article information

                Journal
                04 May 2010
                Article
                10.1126/science.1186874
                1005.0621
                323b7f4f-b7e6-44df-a29c-29d4a6b0ae17

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                Science 328, 1370 (2010)
                main text: 5 pages, 4 figures; supporting information attached; to appear in Science.
                cond-mat.mes-hall cond-mat.str-el

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