Abstract:Electrical contacts between nanoengineered systems are expected to constitute the basic building blocks of future nanoscale electronics. However, the accurate characterization and understanding of electrical contacts at the nanoscale is an experimentally challenging task. Here, we employ low-temperature scanning tunneling spectroscopy to investigate the conductance of individual nanocontacts formed between flat Pb islands and their supporting substrates. We observe a suppression of the differential tunnel cond… Show more
“…1h agree well with these predictions in the range [-0.3;+0.4]eV. Finally, the experimental V-shaped DOS around E F on the meV scale is typical of correlated metals [30] and can be modelled using dynamical Coulomb blockade [31].…”
We investigate the 1/3 monolayer α-Pb/Si(111) surface by scanning tunneling spectroscopy (STS) and fully relativistic first-principles calculations. We study both the high-temperature sqrt[3]Ăsqrt[3] and low-temperature 3Ă3 reconstructions and show that, in both phases, the spin-orbit interaction leads to an energy splitting as large as 25% of the valence-band bandwidth. Relativistic effects, electronic correlations, and Pb-substrate interaction cooperate to stabilize a correlated low-temperature paramagnetic phase with well-developed lower and upper Hubbard bands coexisting with 3Ă3 periodicity. By comparing the Fourier transform of STS conductance maps at the Fermi level with calculated quasiparticle interference from nonmagnetic impurities, we demonstrate the occurrence of two large hexagonal Fermi sheets with in-plane spin polarizations and opposite helicities.
“…1h agree well with these predictions in the range [-0.3;+0.4]eV. Finally, the experimental V-shaped DOS around E F on the meV scale is typical of correlated metals [30] and can be modelled using dynamical Coulomb blockade [31].…”
We investigate the 1/3 monolayer α-Pb/Si(111) surface by scanning tunneling spectroscopy (STS) and fully relativistic first-principles calculations. We study both the high-temperature sqrt[3]Ăsqrt[3] and low-temperature 3Ă3 reconstructions and show that, in both phases, the spin-orbit interaction leads to an energy splitting as large as 25% of the valence-band bandwidth. Relativistic effects, electronic correlations, and Pb-substrate interaction cooperate to stabilize a correlated low-temperature paramagnetic phase with well-developed lower and upper Hubbard bands coexisting with 3Ă3 periodicity. By comparing the Fourier transform of STS conductance maps at the Fermi level with calculated quasiparticle interference from nonmagnetic impurities, we demonstrate the occurrence of two large hexagonal Fermi sheets with in-plane spin polarizations and opposite helicities.
“…As a result it is plausible that, even if the area scaling holds, both contributions might still be similar for grain sizes L ⌠10nm. This is consistent with the experimental results of 31 for Pb superconducting islands where it was possible to reproduce the expected classical scaling of the capacitance with the area only for relatively large grains. Indeed in a Si(111) substrate the charging energy and the mean level spacing of a L ⌠7nm grain with C â 40aF can be comparable.…”
Section: Size Dependence Of Classical and "Quantum" Capacitancesupporting
Even in the absence of Coulomb interactions phase fluctuations induced by quantum size effects become increasingly important in superconducting nano-structures as the mean level spacing becomes comparable with the bulk superconducting gap. Here we study the role of these fluctuations, termed "quantum capacitance", in the phase diagram of a one-dimensional (1D) ring of ultrasmall Josephson junctions (JJ) at zero temperature by using path integral techniques. Our analysis also includes dissipation due to quasiparticle tunneling and Coulomb interactions through a finite mutual and self capacitance. The resulting phase diagram has several interesting features: A finite quantum capacitance can stabilize superconductivity even in the limit of only a finite mutual-capacitance energy which classically leads to breaking of phase coherence. In the case of vanishing charging effects, relevant in cold atom settings where Coulomb interactions are absent, we show analytically that superfluidity is robust to small quantum finite-size fluctuations and identify the minimum grain size for phase coherence to exist in the array. We have also found that the renormalization group results are in some cases very sensitive to relatively small changes of the instanton fugacity. For instance, a certain combination of capacitances could lead to a non-monotonic dependence of the superconductor-insulator transition on the Josephson coupling. The Josephson's effect, 1,5 reveals the central role played by the phase of the order parameter in superconductivity. It has been exploited in a broad spectrum of research problems and applications: from the study of the pseudogap phase in high T c materials 6 , fluctuations above T c 7 and cold atom physics 28 to spintronics 12 and quantum computing 13 . Of special interest is the study of an array of superconducting grains separated by thin tunnel junctions, usually referred to as Josephson junctions (JJ). The physical properties of JJ arrays are very sensitive to the grain dimensionality, the presence of Coulomb interactions and dissipation 2,[15][16][17]21 (see also the review 25 ). Usually it is assumed that each single grain is sufficiently large so that the amplitude of the order parameter, the superconducting gap, is well described by the bulk Bardeen-Cooper-Schriffer (BCS) theory. Moreover it is also commonly assumed that a simple capacitance model is sufficient to account for Coulomb interactions. The phase of each grain is therefore the only effective degree of freedom of the JJ array.Within this general theoretical framework a broad consensus has emerged on the main features of JJ arrays: for long 1d arrays at zero temperature with negligible dissipation, the existence of long range order depends on the nature of the capacitance interactions. For situations in which only self-capacitance is important superconductivity persists for sufficiently small charging effects 2 provided that the Josephson coupling is strong enough. Despite spatial global long-range order a state of zero resistance will...
“…The crucial quantities that characterize the nonequilibrium transport properties of interest here are the steady-state level populations n 1/2 , the interlevel coherence Ï 10,01 , and the electrical current that is flowing through the system S. In the occupation number representation, the population of the electronic levels is given by the diagonal elements of the reduced density matrix…”
Section: E Observables Of Interestmentioning
confidence: 99%
“…[3][4][5] Quantum interference phenomena may be used to control the current flow in three-terminal nanoscale transistors 6,7 and single-molecule junctions. 8 Interaction-driven phenomena such as, for example, static or dynamical Coulomb blockade 1,9,10 or the Kondo effect [11][12][13] also occur. While these phenomena have been studied separately, the interplay between interference phenomena, level quantization, and electron-electron interactions in nanoelectronic devices has been less studied and is an important open problem.…”
The interplay between interference effects and electron-electron interactions in electron transport through an interacting double quantum dot system is investigated using a hierarchical quantum master equation approach which becomes exact if carried to infinite order and converges well if the temperature is not too low. Decoherence due to electron-electron interactions is found to give rise to pronounced negative differential resistance, enhanced broadening of structures in current-voltage characteristics, and an inversion of the electronic population. Dependence on gate voltage is shown to be a useful method of distinguishing decoherence-induced phenomena from effects induced by other mechanisms such as the presence of a blocking state. Comparison of results obtained by the hierarchical quantum master equation approach to those obtained from the Born-Markov approximation to the Nakajima-Zwanzig equation and from the noncrossing approximation to the nonequilibrium Green's function reveals the importance of an interdot coupling that originates from the energy dependence of the conduction bands in the leads and the need for a systematic perturbative expansion.
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