Quantum transport in a single molecular junction

The craze for faster and smaller electronic devices has never gone down and this has always kept researchers on their toes. Following Moore’s law, which states that the number of transistors in a single chip will double in every 18 months, today “30 million transistors can fit into the head of a 1.5 mm diameter pin”. But this miniaturization cannot continue indefinitely due to the ‘quantum leakage’ limit in the thickness of the insulating layer between the gate electrode and the current carrying channel. To bypass this limitation, scientists came up with the idea of using vastly available organic molecules as components in an electronic device. One of the primary challenges in this field was the ability to perform conductance measurements across single molecular junctions. Once that was achieved the focus shifted to a deeper understanding of the underlying physics behind the electron transport across these molecular scale devices. Our initial theoretical approach is based on the conventional Non-Equilibrium Green Function(NEGF) formulation, but the self-energy of the leads is modified to include a weighting factor that ensures negligible current in the absence of a molecular pathway as observed in a Mechanically Controlled Break Junction (MCBJ) experiment. The formulation is then made parameter free by a more careful estimation of the self-energy of the leads. The calculated conductance turns out to be atleast an order more than the experimental values which is probably due to a strong chemical bond at the metal-molecule junction unlike in the experiments. The focus is then shifted to a comparative study of charge transport in molecular wires of different lengths within the same formalism. The molecular wires, composed of a series of organic molecules, are sanwiched between two gold electrodes to make a two terminal device. The length of the wire is increased by sequentially increasing the number of molecules in the wire from 1 to 3. In the low bias regime all the molecular devices are found to exhibit Ohmic behavior. However, the magnitude of conductance decreases exponentially with increase in length of the wire. In the next study, the relative contribution of the ‘in-phase’ and the ‘out-of-phase’ components of the total electronic current under the influence of an external bias is estimated for the wires of three different lengths. In the low bias regime, the ‘out-of-phase’ contribution to the total current is minimal and the ‘in-phase’ elastic tunneling of the electrons is responsible for the net electronic current. This is true irrespective of the length of the molecular spacer. In this regime, the current-voltage characteristics follow Ohm’s law and the conductance of the wires is found to decrease exponentially with increase in length which is in agreement with experimental results. However, after a certain ‘off-set’ voltage, the current increases non-linearly with bias and the ‘out-of-phase’ tunneling of electrons reduces the net current substantially. Subsequently, the interaction of conduction electrons with the vibrational modes as a function of external bias in the three different oligomers is studied since they are one of the main sources of phase-breaking scattering. The number of vibrational modes that couple strongly with the frontier molecular orbitals are found to increase with length of the spacer and the external field. This is consistent with the existence of lowest ‘off-set’ voltage for the longest wire under study.

Mainari, Farmari, Lumperjäkki, Piika : “Ethnic Identity” and Earning a Living in the Keweenaw and Nickel Belts to 1930

Job seekers in resource-based economic settings like the Keweenaw Peninsula in Upper Michigan and the Nickel Basin surrounding Sudbury, Ontario faced many challenges, from the dangers of the job to corporate domination to the “boom and bust” nature of inevitably limited supplies of even “endless” natural riches. Adding to these many challenges in both settings was the employer view that you were best suited to certain tasks. This paper examines these expectations from “both” ends – how and why did employers see matters this way, and what did the “recipients” make of being cast in certain roles ? Did the newcomers also expect to earn their keep from a limited range of options ? While the last word on this issue awaits a much larger study, even a glance can inform both the scholar of resource settings and the ethnic historian about an important element of resource-based economies. This paper, then, examines the links between stereotype, preference, and necessity – to what extent did local populations fight, appreciate or succumb to expectation when “making a living.” As the title suggests, Finns get significant attention, as befits both settings under study. However, the paper looks to similar trends amongst a broad demographic swathe in each setting. Was “who” you were the crucial element in finding sustenance ? “Ethnic”, Aboriginal, or “established settler society” – what factors shaped economic expectations, choices and roles?