Non-universal power laws in transport properties ofone-dimensional quantum dots

摘要

We investigate discrepancies between recent experimental results on transportthrough one-dimensional quantum dots and universal power laws predicted by an idealizedLuttinger Liquid description. The temperature dependence of Coulomb blockade peaks inone-dimensional quantum dots obeys non-universal power-laws from which different valuesof the interaction strength can be deduced. We find that, depending on the temperaturerange, measurements probe local or global properties of the interaction. In particular, weinvestigate the role of contacting semiconductor quantum wires and nanotubes connectedto leads through tunnel junctions and compare to recent experiments. We conclude that aconventional Luttinger Liquid description of the quantum wire does explain the observedbehaviour if specific properties of either experimental setup are carefully taken into account.