Insulator-quantum Hall conductor transitions at low magnetic field B were studied with a gated GaAs-AlGaAs heterostructure. A low field disorder-magnetic field phase diagram was constructed based on the experimental results. This phase diagram shows no floating up of the extended state and allows transitions from the insulating state directly to any Landau level states. The critical filling factor can change from 16 to 6 as the disorder in the sample increases. By inspecting the raw data from this and the other samples and analyzing the scaling behaviors near the transition points, we found that the observed transition has the properties of a genuine phase transition.
Plateau-plateau (P-P) and insulator-quantum Hall conductor (I-QH) transitions are observed in the two-dimensional electron system in an AlGaAs/GaAs heterostructure. At high fields, the critical conductivities are not of the expected universal values and the temperature-dependence of the width of the P-P transition does not follow the universal scaling. However, the semicircle law still holds, and universal scaling behavior was found in the P-P transition after mapping it to the I-QH transition by the Landau-level addition transformation. We pointed out that in order to get a correct critical exponent, it is essential that the scaling analysis must be performed near the critical point. And with proper analysis, we found that the P-P transition and the insulator quantum Hall conductor transitions are of the same universal class.
The unsurpassed properties in electrical conductivity, thermal conductivity, strength, and surface area-to-volume ratio allow for many potential applications of carbon nanomaterials in various fields. Recently, studies have characterized the potential of using carbon nanotubes (CNTs) as a biomaterial for biomedical applications and as a drug carrier via intravenous injection. However, most studies show that unmodified CNTs possess a high degree of toxicity and cause inflammation, mechanical obstruction from high organ retention, and other biocompatibility issues following in vivo delivery. In contrast, carbon nanocapsules (CNCs) have a lower aspect ratio compared with CNTs and have a higher dispersion rate. To investigate the possibility of using CNCs as an alternative to CNTs for drug delivery, heparin-conjugated CNCs (CNC-H) were studied in a mouse model of acute hindlimb thromboembolism. Our results showed that CNC-H not only displayed superior antithrombotic activity in vitro and in vivo but they also had the ability to extend the thrombus formation time far longer than an injection of heparin or CNCs alone. Therefore, the present study showed for the first time that functionalized CNCs can act as nanocarriers to deliver thrombolytic therapeutics.
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