| This dissertation addresses three different issues. First; an analog of the normal Anderson metal-insulator system is discussed in the context of disordered BCS superconductors. Features of the 'thermal-metal' and 'thermal-insulator' are explored with particular focus on the behaviour the of density-of-states in each phase. Critical properties at the transition between the phases are investigated.;The second topic is that of Luttinger liquid physics in single-walled metallic nanotubes (SWNT), modelled by four one-dimensional channels of interacting electrons. Basic features of Luttinger liquids are reviewed. Shot noise as a means of probing charge fractionalization, and Andreev physics arising from proximity effects are studied in the context of the interacting SWNT system. It is shown that SWNT's, when appropriately contacted with superconductors, can also lead to the prospect of quantum entanglement.;Finally, critical dynamics at the finite-temperature normal---superconducting transition is analyzed. Hydrodynamic treatments reveal that the dynamics can be described by Model C of Ref. [1] for extreme type II super conductors. In this framework, thermal conductivity is found to be smooth and continuous across the transition. The effect of charge on dynamics is then questioned. |
