157 research outputs found
Random graph model with power-law distributed triangle subgraphs
Clustering is well-known to play a prominent role in the description and
understanding of complex networks, and a large spectrum of tools and ideas have
been introduced to this end. In particular, it has been recognized that the
abundance of small subgraphs is important. Here, we study the arrangement of
triangles in a model for scale-free random graphs and determine the asymptotic
behavior of the clustering coefficient, the average number of triangles, as
well as the number of triangles attached to the vertex of maximum degree. We
prove that triangles are power-law distributed among vertices and characterized
by both vertex and edge coagulation when the degree exponent satisfies
; furthermore, a finite density of triangles appears as
.Comment: 4 pages, 2 figure; v2: major conceptual change
Doping-Dependent Raman Resonance in the Model High-Temperature Superconductor HgBa2CuO4+d
We study the model high-temperature superconductor HgBa2CuO4+d with
electronic Raman scattering and optical ellipsometry over a wide doping range.
The resonant Raman condition which enhances the scattering cross section of
"two-magnon" excitations is found to change strongly with doping, and it
corresponds to a rearrangement of inter-band optical transitions in the 1-3 eV
range seen by ellipsometry. This unexpected change of the resonance condition
allows us to reconcile the apparent discrepancy between Raman and x-ray
detection of magnetic fluctuations in superconducting cuprates. Intriguingly,
the strongest variation occurs across the doping level where the antinodal
superconducting gap reaches its maximum.Comment: 4 pages, 4 figures, contact authors for Supplemental Materia
Connection between charge-density-wave order and charge transport in the cuprate superconductors
Charge-density-wave (CDW) correlations within the quintessential CuO
planes have been argued to either cause [1] or compete with [2] the
superconductivity in the cuprates, and they might furthermore drive the
Fermi-surface reconstruction in high magnetic fields implied by quantum
oscillation (QO) experiments for YBaCuO (YBCO) [3] and
HgBaCuO (Hg1201) [4]. Consequently, the observation of bulk
CDW order in YBCO was a significant development [5,6,7]. Hg1201 features
particularly high structural symmetry and recently has been demonstrated to
exhibit Fermi-liquid charge transport in the relevant temperature-doping range
of the phase diagram, whereas for YBCO and other cuprates this underlying
property of the CuO planes is partially or fully masked [8-10]. It
therefore is imperative to establish if the pristine transport behavior of
Hg1201 is compatible with CDW order. Here we investigate Hg1201 ( = 72 K)
via bulk Cu L-edge resonant X-ray scattering. We indeed observe CDW
correlations in the absence of a magnetic field, although the correlations and
competition with superconductivity are weaker than in YBCO. Interestingly, at
the measured hole-doping level, both the short-range CDW and Fermi-liquid
transport appear below the same temperature of about 200 K. Our result points
to a unifying picture in which the CDW formation is preceded at the higher
pseudogap temperature by = 0 magnetic order [11,12] and the build-up of
significant dynamic antiferromagnetic correlations [13]. Furthermore, the
smaller CDW modulation wave vector observed for Hg1201 is consistent with the
larger electron pocket implied by both QO [4] and Hall-effect [14]
measurements, which suggests that CDW correlations are indeed responsible for
the low-temperature QO phenomenon
Universal quantum oscillations in the underdoped cuprate superconductors
The metallic state of the underdoped high-Tc cuprates has remained an enigma:
How may seemingly disconnected Fermi surface segments, observed in zero
magnetic field as a result of the opening of a partial gap (the pseudogap),
possess conventional quasiparticle properties? How do the small Fermi-surface
pockets evidenced by the observation of quantum oscillations (QO) emerge as
superconductivity is suppressed in high magnetic fields? Such QO, discovered in
underdoped YBa2Cu3O6.5 (Y123) and YBa2Cu4O8 (Y124), signify the existence of a
conventional Fermi surface (FS). However, due to the complexity of the crystal
structures of Y123 and Y124 (CuO2 double-layers, CuO chains, low structural
symmetry), it has remained unclear if the QO are specific to this particular
family of cuprates. Numerous theoretical proposals have been put forward to
explain the route toward QO, including materials-specific scenarios involving
CuO chains and scenarios involving the quintessential CuO2 planes. Here we
report the observation of QO in underdoped HgBa2CuO4+{\delta} (Hg1201), a model
cuprate superconductor with individual CuO2 layers, high tetragonal symmetry,
and no CuO chains. This observation proves that QO are a universal property of
the underdoped CuO2 planes, and it opens the door to quantitative future
studies of the metallic state and of the Fermi-surface reconstruction
phenomenon in this structurally simplest cuprate.Comment: 17 pages, 5 figure
Effect of fluoride toothpastes on enamel demineralization
BACKGROUND: It was the aim of this study to investigate the effect of four different toothpastes with differing fluoride compounds on enamel remineralization. METHODS: A 3 × 3 mm window on the enamel surface of 90 human premolars was demineralized in a hydroxyethylcellulose solution at pH 4.8. The teeth were divided into 6 groups and the lower half of the window was covered with varnish serving as control. The teeth were immersed in a toothpaste slurry containing: placebo tooth paste (group 1); remineralization solution (group 2); Elmex Anticaries (group 3); Elmex Sensitive (group 4); Blend-a-med Complete (group 5) and Colgate GRF (group 6). Ten teeth of each group were used for the determination of the F(- )content in the superficial enamel layer and acid solubility of enamel expressed in soluble phosphorus. Of 6 teeth of each group serial sections were cut and investigated with polarization light microscopy (PLM) and quantitative energy dispersive X-ray analysis (EDX). RESULTS: The PLM results showed an increased remineralization of the lesion body in the Elmex Anticaries, Elmex Sensitive and Colgate GRF group but not in the Blend-a-med group. A statistically significant higher Ca content was found in the Elmex Anticaries group. The fluoride content in the superficial enamel layer was significantly increased in both Elmex groups and the Blend-a-med group. Phosphorus solubility was significantly decreased in both Elmex groups and the Blend-a-med group. CONCLUSION: It can be concluded that amine fluoride compounds in toothpastes result in a clearly marked remineralization of caries like enamel lesions followed by sodium fluoride and sodium monofluorophosphate formulations
Socio-economic drivers of specialist anglers targeting the non-native European catfish (Silurus glanis) in the UK.
Information about the socioeconomic drivers of Silurus glanis anglers in the UK were collected using questionnaires from a cross section of mixed cyprinid fisheries to elucidate human dimensions in angling and non-native fisheries management. Respondents were predominantly male (95%), 30-40 years of age with £500 per annum. The proportion of time spent angling for S. glanis was significantly related to angler motivations; fish size, challenge in catch, tranquil natural surroundings, escape from daily stress and to be alone were considered important drivers of increased time spent angling. Overall, poor awareness of: the risks and adverse ecological impacts associated with introduced S. glanis, non-native fisheries legislation, problems in use of unlimited ground bait and high fish stocking rates in angling lakes were evident, possibly related to inadequate training and information provided by angling organisations to anglers, as many stated that they were insufficiently informed
Panicoideae (Poaceae) em remanescentes florestais do sul da Bahia: aspectos taxonômicos e ecológicos
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