We propose an electrically tunable graphene-based metamaterial showing a large nonlinear optical response at THz frequencies, which we calculate analytically for the first time to our knowledge and arises from the intraband current. The structure sustains a novel type of stable two-dimensional spatial solitary wave, a relativistic version of the Townes soliton. These results can be also applied to any material exhibiting a conical dispersion with massless Dirac fermions.

Tungsten borides are a unique class of compounds with excellent mechanical properties comparable to those of traditional superhard materials. However, the in-depth understanding of these compounds is hindered by the uncertainty of their phase relations and complex crystal structures. Here, we explored the W-B system systematically by ab initio variable-composition evolutionary simulations at pressures from 0 to 40 GPa. Our calculations successfully found all known stable compounds and discovered two novel stable phases, P4[combining macron]21m-WB and P21/m-W2B3, and three nearly stable phases, R3m-W2B5, Ama2-W6B5, and Pmmn-WB5, at ambient pressure and zero Kelvin. Interestingly, P4[combining macron]21m-WB is much harder than the known α and β phases, while Pmmn-WB5 exhibits the highest hardness. Furthermore, it is revealed that the much debated WB4 becomes stable as the P63/mmc (2 f.u. per unit cell) phase at pressures above ∼1 GPa, not at ambient pressure as reported previously. Our findings provide important insights for understanding the rich and complex crystal structures of tungsten borides, and indicate WB2, WB4, and WB5 as compounds with the most interesting mechanical properties.

We present a detailed theoretical study of the electronic transport properties of monolayer graphene. The quantum and transport conductivities are calculated on the basis of the usual momentum-balance equation derived from a semiclassical Boltzmann equation. We investigate carrier-impurity scattering in a massless Dirac quasiparticle system. The carrier interactions with remote and background impurities are considered, and the carrier-carrier screening is included within the random phase approximation. The dependence of the conductivities on temperature is also examined. Moreover, a very simple analytical formula is proposed such that only one fitting parameter is needed in order to make a quantitative comparison with the experimental results.

We present an investigation on carbon quantum dots (CQDs) synthesized from wastewater induced during the production of tofu. We find that tofu wastewater is a good source of raw material in making fluorescent CQDs. The corresponding CQDs can be fabricated simply via hydrothermal reaction to carbonize the organic matter in the yellow serofluid of tofu wastewater. Two sorts of CQDs can be obtained within the deionized water and NaOH solution, respectively, where the CQDs in water (NaOH solution) can emit blue (green) light under the UV irradiation. It is found from X-ray photoelectron spectroscopy (XPS) that the basic difference between these two sorts of CQDs is the contents of C–O and C=O bonds on the surface of the CQDs. This difference can cause different features of the photoluminescence (PL) spectra of the CQDs. On the basis of the obtained results from the XPS and PL measurements, we propose a mechanism in understanding and explaining the photon-induced light emission from CQDs. This study is relevant to the fabrication and application of fluorescent CQDs as, e.g., light display materials.