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      Single-electron current sources: towards a refined definition of ampere

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          Abstract

          Controlling electrons at the level of elementary charge \(e\) has been demonstrated experimentally already in the 1980's. Ever since, producing an electrical current \(ef\), or its integer multiple, at a drive frequency \(f\) has been in a focus of research for metrological purposes. In this review we first discuss the generic physical phenomena and technical constraints that influence charge transport. We then present the broad variety of proposed realizations. Some of them have already proven experimentally to nearly fulfill the demanding needs, in terms of transfer errors and transfer rate, of quantum metrology of electrical quantities, whereas some others are currently "just" wild ideas, still often potentially competitive if technical constraints can be lifted. We also discuss the important issues of read-out of single-electron events and potential error correction schemes based on them. Finally, we give an account of the status of single-electron current sources in the bigger framework of electric quantum standards and of the future international SI system of units, and briefly discuss the applications and uses of single-electron devices outside the metrological context.

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          Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene

          When electrons are confined in two-dimensional (2D) materials, quantum mechanically enhanced transport phenomena, as exemplified by the quantum Hall effects (QHE), can be observed. Graphene, an isolated single atomic layer of graphite, is an ideal realization of such a 2D system. Here, we report an experimental investigation of magneto transport in a high mobility single layer of graphene. Adjusting the chemical potential using the electric field effect, we observe an unusual half integer QHE for both electron and hole carriers in graphene. Vanishing effective carrier masses is observed at Dirac point in the temperature dependent Shubnikov de Haas oscillations, which probe the 'relativistic' Dirac particle-like dispersion. The relevance of Berry's phase to these experiments is confirmed by the phase shift of magneto-oscillations, related to the exceptional topology of the graphene band structure.
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            Electronic properties of two-dimensional systems

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              A nonequilibrium equality for free energy differences

              An expression is derived for the classical free energy difference between two configurations of a system, in terms of an ensemble of finite-time measurements of the work performed in parametrically switching from one configuration to the other. Two well-known equilibrium identities emerge as limiting cases of this result.
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                Author and article information

                Journal
                20 August 2012
                2012-09-01
                Article
                10.1103/RevModPhys.85.1421
                1208.4030
                981e4d2b-0089-4356-8d0a-3486a7081ca5

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

                History
                Custom metadata
                55 pages, 38 figures; (v2) fixed typos and misformatted references, reworded the section on AC pumps
                cond-mat.mes-hall

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