Continuous and quantized transports are profoundly different. The latter is determined by the global rather than local properties of a system, it exhibits unique topological features, and its ubiquitous nature causes its occurrence in many areas of science. Here we report the first observation of fully-two-dimensional Thouless pumping of light by bulk modes in a purpose-designed tilted moiré lattices imprinted in a photorefractive crystal. Pumping in such unconfined system occurs due to the longitudinal adiabatic and periodic modulation of the refractive index. The topological nature of this phenomenon manifests itself in the magnitude and direction of shift of the beam center-of-mass averaged over one pumping cycle. Our experimental results are supported by systematic numerical simulations in the frames of the continuous Schrödinger equation governing propagation of probe light beam in optically-induced photorefractive moiré lattice. Our system affords a powerful platform for the exploration of topological pumping in tunable commensurate and incommensurate geometries.

In recent years, local antibiotic‐loaded bone substitutes (ALBS) have been used increasingly in the treatment of diabetic foot infection (DFI). The meta‐analysis aimed to analyse the efficacy of ALBS on patients with moderate to severe DFI (with or without osteomyelitis). With an appropriate search strategy, 7 studies were selected for analysis (2 RCTs and 5 cohort studies). The result showed that the application of ALBS effectively reduced the length of hospital stay (WMD −5.55; 95% CI: −9.85 to −1.26; P = 0.01), the recurrence rates (RR 0.33; 95% CI: 0.15 to 0.69; P = 0.003) and the mortality rates (RR 0.22; 95% CI: 0.06 to 0.82; P = 0.02). Compared to the control groups, however, there was no difference in healing rates (RR 1.06; 95% CI: 0.96 to 1.18; P = 0.26), healing time (WMD −1.44; 95% CI: −3.37 to −0.49; P = 0.14), the number of debridement (WMD −1.98; 95% CI: −4.08 to 0.12; P = 0.06) and major amputation rates (RR 0.76; 95% CI: 0.35 to 1.61; P = 0.47). The ALBS appears to have some beneficial effects as an adjunct to standard surgery in the treatment of DFI with or without osteomyelitis, as it reduces recurrence rates, mortality rates, and length of hospital stay, but there was no statistically significant difference in enhancing wound healing.

We give a rigorous deduction of the eigenvalue problem of the nonlinear Schrödinger equation (NLS) at Dirac Points for potential of honeycomb lattice symmetry. Based on a bootstrap method, we observe the bifurcation of the eigenfunctions into eight distinct modes from the two-dimensional degenerated eigenspace of the regressive linear Schrödinger equation. We give the existence, the way of construction, uniqueness in H 2 space and the C ∞ continuity of these eigenfunctions.