We consider an experimentally feasible setup to demonstrate the existence and coherent dynamics of Majorana fermion. The transport setup consists of a quantum dot and a tunnel-coupled semiconductor nanowire which is anticipated to generate Majorana excitations under some conditions. For transport under finite bias voltage, we find that a subtraction of the source and drain currents can expose the essential feature of the Majorana fermion, including the zero-energy nature by gate-voltage modulating the dot level. Moreover, coherent oscillating dynamics of the Majorana fermion between the nanowire and the quantum dot is reflected in the shot noise, via a spectral dip together with a pronounced zero-frequency noise enhancement effect. Important parameters, e.g., for the Majorana's mutual interaction and its coupling to the quantum dot, can be extracted out in experiment using the derived analytic results.

Two 24-nuclear lanthanide clusters, and were obtained and structurally characterized. Magnetic investigations reveal that exhibits the largest entropy change (-ΔS(m)) of 46.12 J kg(-1) K(-1) for ΔH = 7 T in all reported molecular clusters, and single-molecule magnet behaviour is observed in .

We present one 3D cationic MOF (1-ClO(4)), which exhibits high thermal stability and strong alkali resistance. More importantly, it displays fast, selective capture of, and acts as a luminescent probe for, pollutant CrO(4)(2-) by anion exchange. Additionally, 1-ClO(4) exhibits interesting slow magnetic relaxation behavior at low temperature.

Two cationic heterometal-organic frameworks (Eu-Zn (1·NO₃⁻) and Tb-Zn (2·NO₃⁻)) with NO3(-) counter-anions in the channels are structurally and luminously characterized. Both of them can serve as highly sensitive and highly selective luminescent probes for detecting I(-) ions in aqueous solutions. In particular, 2·NO₃⁻ can selectively and reversibly detect I(-) with a fast response time of just 10 s and an extremely low detection limit of 0.001 ppm. Mechanism studies reveal that I(-) is quickly oxidized to form I₃⁻with the help of 1·NO₃⁻ or 2·NO₃⁻, leading to luminescence quenching. This represents the first report of MOF-based luminescent probes for the detection of I(-) in aqueous solutions.