Non-Fermi liquids

Our present understanding of how the interactions between electrons affect the metallic state has, for forty years, rested on the foundations of Landau's Fermi-liquid theory. It provides the basis for understanding metals in terms of weakly interacting electron (-like) particles. Recent years have seen the discovery of metals which appear to fall outside this framework-perhaps most notably in the normal state of the high temperature cuprate superconductors. While the theory for understanding the cuprate metals remains controversial, there are a number of clear examples where we do believe we understand the new underlying theoretical concepts. In this article I illustrate four such routes towards forming a non-Fermi liquid metal and illustrate, where possible, how these have been realized in a number of materials. The proximity to a quantum phase transition and reduced effective dimensionality can both play important roles

Representations of algebras as universal localizations

Every finitely presented algebra S is shown to be Morita equivalent to the universal localization \sigma^{-1}R of a finite dimensional algebra R. The construction provides many examples of universal localizations which are not stably flat, i.e. Tor^R_i(\sigma^{-1}R,\sigma^{-1}R) is non-zero for some i>0. It is also shown that there is no algorithm to determine if two Malcolmson normal forms represent the same element of \sigma^{-1}R.Comment: v2 (minor revision of v1). 15 pages, LATEX, to be published in the Mathematical Proceedings of the Cambridge Philosophical Societ

Analysis and modelling of respiratory metabolism in Neisseria meningitidis

The bacterium Neisseria meningitidis is capable of respiration in both aerobic and microaerobic environments by reduction of oxygen and nitrite respectively. The respiratory chain and genetic regulation of this system are already well understood, but there are complex interactions between components which make predicting which respiratory path will be used difficult. To predict the respiratory behaviour of N. meningitidis a mathematical model has been constructed which describes the behaviour of the respiratory system using a set of differential equations. A novel combination of experimental data gathering and successive Bayesian fitting was then used to populate and parameterise the model. The resulting model and parameter probability distributions represent a working system for predicting respiratory behaviour in N. meningitidis. These parameter distributions represent new knowledge in the field as almost none of the values had been previously determined. The model also gives access to otherwise inaccessible information regarding the flux of electrons through the respiratory chain in addition to the reduction states of the respiratory enzymes during aerobic and microaerobic respiration

Popular Degradations

A collection of short storie

Follow-up services for improving long-term outcomes in intensive care unit (ICU) survivors

This is a protocol for a Cochrane Review (Intervention). The objectives are as follows: Our main objective is to assess the effectiveness of follow-up services for ICU survivors that aim to identify and address unmet health needs related to the ICU period. We aim to assess the effectiveness in relation to health-related quality of life, mortality, depression and anxiety, post-traumatic stress disorder, physical function, cognitive function, ability to return to work or education and adverse events. Our secondary objectives are, in general, to examine both the various ways that follow-up services are provided and any major influencing factors. Specifically, we aim to explore: the effectiveness of service organisation (physician versus nurse led, face to face versus remote, timing of follow-up service); possible differences in services related to country (developed versus developing country); and whether participants had delirium within the ICU setting

Two operational modes in the perception of shape from shading revealed by the effects of edge information in slant settings.

The perception of shape from shading (SFS) has been an active research topic for more than two decades, yet its quantitative description remains poorly specified. One obstacle is the variability typically found between observers during SFS tasks. In this study, we take a different view of these inconsistencies, attributing them to uncertainties associated with human SFS. By identifying these uncertainties, we are able to probe the underlying computation behind SFS in humans. We introduce new experimental results that have interesting implications for SFS. Our data favor the idea that human SFS operates in at least two distinct modes. In one mode, perceived slant is linear to luminance or close to linear with some perturbation. Whether or not the linear relationship is achieved is influenced by the relative contrasts of edges bounding the luminance variation. This mode of operation is consistent with collimated lighting from an oblique angle. In the other mode, recovered surface height is indicative of a surface under lighting that is either diffuse or collimated and frontal. Shape estimates under this mode are partially accounted for by the "dark-is-deep" rule (height ∝ luminance). Switching between these two modes appears to be driven by the sign of the edges at the boundaries of the stimulus. Linear shading was active when the boundary edges had the same contrast polarity. Dark-is-deep was active when the boundary edges had opposite contrast polarity. When both same-sign and opposite-sign edges were present, observers preferred linear shading but could adopt a combination of the two computational modes

Shading and texture:Separate information channels with a common adaptation mechanism?

We outline a scheme for the way in which early vision may handle information about shading (luminance modulation, LM) and texture (contrast modulation, CM). Previous work on the detection of gratings has found no sub-threshold summation, and no cross-adaptation, between LM and CM patterns. This strongly implied separate channels for the detection of LM and CM structure. However, we now report experiments in which adapting to LM (or CM) gratings creates tilt aftereffects of similar magnitude on both LM and CM test gratings, and reduces the perceived strength (modulation depth) of LM and CM gratings to a similar extent. This transfer of aftereffects between LM and CM might suggest a second stage of processing at which LM and CM information is integrated. The nature of this integration, however, is unclear and several simple predictions are not fulfilled. Firstly, one might expect the integration stage to lose identity information about whether the pattern was LM or CM. We show instead that the identity of barely detectable LM and CM patterns is not lost. Secondly, when LM and CM gratings are combined in-phase or out-of-phase we find no evidence for cancellation, nor for 'phase-blindness'. These results suggest that information about LM and CM is not pooled or merged - shading is not confused with texture variation. We suggest that LM and CM signals are carried by separate channels, but they share a common adaptation mechanism that accounts for the almost complete transfer of perceptual aftereffects

Perceptual learning of second order cues for layer decomposition.

Luminance variations are ambiguous: they can signal changes in surface reflectance or changes in illumination. Layer decomposition-the process of distinguishing between reflectance and illumination changes-is supported by a range of secondary cues including colour and texture. For an illuminated corrugated, textured surface the shading pattern comprises modulations of luminance (first order, LM) and local luminance amplitude (second-order, AM). The phase relationship between these two signals enables layer decomposition, predicts the perception of reflectance and illumination changes, and has been modelled based on early, fast, feed-forward visual processing (Schofield et al., 2010). However, while inexperienced viewers appreciate this scission at long presentation times, they cannot do so for short presentation durations (250 ms). This might suggest the action of slower, higher-level mechanisms. Here we consider how training attenuates this delay, and whether the resultant learning occurs at a perceptual level. We trained observers to discriminate the components of plaid stimuli that mixed in-phase and anti-phase LM/AM signals over a period of 5 days. After training, the strength of the AM signal needed to differentiate the plaid components fell dramatically, indicating learning. We tested for transfer of learning using stimuli with different spatial frequencies, in-plane orientations, and acutely angled plaids. We report that learning transfers only partially when the stimuli are changed, suggesting that benefits accrue from tuning specific mechanisms, rather than general interpretative processes. We suggest that the mechanisms which support layer decomposition using second-order cues are relatively early, and not inherently slow