Effect of electron-phonon coupling on transmission through Luttinger liquid hybridized with resonant level

We show that electron-phonon coupling strongly affects transport properties of the Luttinger liquid hybridized with a resonant level. Namely, this coupling significantly modifies the effective energy-dependent width of the resonant level in two different geometries, corresponding to the resonant or antiresonant transmission in the Fermi gas. This leads to a rich phase diagram for a metal-insulator transition induced by the hybridization with the resonant level.

Impurity scattering in a Luttinger liquid with electron-phonon coupling

We study the influence of electron-phonon coupling on electron transport through a Luttinger liquid with an embedded weak scatterer or weak link. We derive the renormalization group (RG) equations, which indicate that the directions of RG flows can change upon varying either the relative strength of the electron-electron and electron-phonon coupling or the ratio of Fermi to sound velocities. This results in a rich phase diagram with up to three fixed points: an unstable one with a finite value of conductance and two stable ones, corresponding to an ideal metal or insulator.

Impurity scattering in Luttinger liquid with electron-phonon coupling

We study the influence of electron-phonon coupling on electron transport through a Luttinger liquid with an embedded weak scatterer or weak link. We derive the renormalization group (RG) equations which indicate that the directions of RG flows can change upon varying either the relative strength of the electron-electron and electron-phonon coupling or the ratio of Fermi to sound velocities. This results in the rich phase diagram with up to three fixed points: an unstable one with a finite value of conductance and two stable ones, corresponding to an ideal metal or insulator.

Biological interactions with synthetic polymers

Anchorage dependent cell culture is a useful model for investigating the interface that becomes established when a synthetic polymer is placed in contact with a biological system. The primary aim of this interdisciplinary study was to systematically investigate a number of properties that were already considered to have an influence on cell behaviour and thereby establish the extent of their importance. It is envisaged that investigations such as these will not only further the understanding of the mechanisms that affect cell adhesion but may ultimately lead to the development of improved biomaterials. In this study, surface analysis of materials was carried out in parallel with culture studies using fibroblast cells. Polarity, in it's ability to undergo hydrogen bonding (eg with water and proteins), had an important affect on cell behaviour, although structural arrangement and crystallinity were not found to exert any marked influence. In addition, the extent of oxidation that had occurred during the process of manufacture of substrates was also important. The treatment of polystyrene with a selected series of acids and gas plasmas confirmed the importance of polarity, structural groups and surface charge and it was shown that this polymer was not unique among `hydrophobic' materials in it's inability to support cell adhesion. The individual water structuring groups within hydrogel polymers were also observed to have controlling effects on cell behaviour. An overall view of the biological response to both hydrogel and non-hydrogel materials highlighted the importance of surface oxidation, polarity, water structuring groups and surface charge. Initial steps were also taken to analyse foetal calf serum, which is widely used to supplement cell culture media. Using an array of analytical techniques, further experiments were carried out to observe any possible differences in the amounts of lipids and calcium that become deposited to tissue culture and bacteriological grade plastic under cell culture conditions.

Structural determinants of oligomerization of the aquaporin-4 channel

The aquaporins (AQP) family of integral membrane protein channels mediate cellular water and solute flow. Although qualitative and quantitative differences in channel permeability, selectivity, subcellular localization and trafficking responses have been observed for different members of the AQP family, the signature homotetrameric quaternary structure is conserved. Using a variety of biophysical techniques, we show that mutations to an intracellular loop (loop D) of human AQP4 reduce oligomerization. Non-tetrameric AQP4 mutants are unable to relocalize to the plasma membrane in response to changes in extracellular tonicity, despite equivalent constitutive surface expression levels and water permeability to wild-type AQP4. A network of AQP4 loop D hydrogen bonding interactions, identified using molecular dynamics simulations and based on a comparative mutagenic analysis of AQPs 1, 3 and 4, suggest that loop D interactions may provide a general structural framework for tetrameric assembly within the AQP family.