Measurements of resonant tunneling through a localized impurity state are used to probe fluctuations in the local density of states of heavily doped GaAs. The measured differential conductance is analyzed in terms of correlation functions with respect to voltage. A qualitative picture based on the scaling theory of Thouless is developed to relate the observed fluctuations to the statistics of single-particle wave functions. In a quantitative theory correlation functions are calculated. By comparing the experimental and theoretical correlation functions, the effective dimensionality of the emitter is analyzed and the dependence of the inelastic lifetime on energy is extracted.
The folding of long DNA strands into designed nanostructures has evolved into an art. Being based on linear chains only, the resulting nanostructures cannot readily be transformed into covalently linked frameworks. Covalently linking strands in the context of folded DNA structures requires a robust method that avoids sterically demanding reagents or enzymes. Here we report chemical ligation of the 3'-amino termini of oligonucleotides and 5'-phosphorylated partner strands in templated reactions that produce phosphoramidate linkages. These reactions produce inter-nucleotide linkages that are isoelectronic and largely isosteric to phosphodiesters. Ligations were performed at three levels of complexity, including the extension of branched DNA hybrids and the ligation of six scaffold strands in a small origami.
Quantum technologies involving qubit measurements based on electronic interferometers rely critically on accurate single-particle emission. However, achieving precisely timed operations requires exquisite control of the single-particle sources in the time domain. Here, we demonstrate accurate control of the emission time statistics of a dynamic single-electron transistor by measuring the waiting times between emitted electrons. By ramping up the modulation frequency, we controllably drive the system through a crossover from adiabatic to nonadiabatic dynamics, which we visualize by measuring the temporal fluctuations at the single-electron level and explain using detailed theory. Our work paves the way for future technologies based on the ability to control, transmit, and detect single quanta of charge or heat in the form of electrons, photons, or phonons.
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