We consider a two-dimensional generalization of the Su-Schrieffer-Heeger model which is known to possess non-trivial topological band structure. For this model, characterized by single parameter, hopping ratio $0 \leq r\leq 1$, inhomogeneous superconducting phases induced an attractive $U$ Hubbard interaction are studied using mean field theory. show, analytically and numerical diagonalization,...

We demonstrate that the presence of a localized state at corner an insulating domain is not always predictor certain non-trivial higher-order topological invariant, even though they appear to co-exist in same Hamiltonian parameter space. Our analysis $C^n$-symmetric crystalline insulators and their multi-layer stacks reveals states are necessarily correlated with other well-established boundary...

We will present an approach to numerical simulation on recursively structured adaptive discretisation grids. The respective grid generation process is based on recursive bisection of triangles along marked edges. The resulting refinement tree is sequentialised according to a Sierpinski space-filling curve, which leads to both minimal memory requirements and inherently cache-efficient processing...

Ex situ experiments were conducted to study water droplet dynamics in Proton Exchange Membrane Fuel Cell (PEMFC) gas channels with different trapezoid channel open angles and GDL materials under controlled air velocities (0.48e7.23 m s 1). High speed videos revealed that the droplets interacted with the channel walls at lower air velocities (0.48e4 m s 1) and led to channel corner filling depen...

Wrinkling and fracture are the important defects in deep drawing operation, which can be prevented using blank holding force (BHF) which has to be optimized as lower BHF promotes wrinkles formation and higher BHF promotes fracturing. Hence the limits of wrinkling and fracture have to be established. These limits depend on various tooling and process parameters. In this work the effect of toolin...