As the connection of different topological quantum phases, gapless systems have attracted much attention. The emergence nodal points is typically observed in with two or three dimensions, whereas we demonstrate existence a model that lies between one and dimensions this paper. Superconducting circuits as an essential All-solid state device become promising platform for macro-controlling effect....

Topological phases of matter have been among the most active research subjects in condensed matter physics. They can be broadly classified as two major classes. The first class of phases, including topological insulators and superconductors[1–6], and other symmetry protected topological phases[7], have gapped bulks with nontrivial topological structures characterized by topological invariants[8...

High-order methods have the potential to efficiently generate accurate solutions to fluid dynamics problems of practical interest. However, high-order methods are less robust than lower-order methods, as they are less dissipative, making them more susceptible to spurious oscillations and aliasing driven instabilities that arise during simulations of nonlinear phenomena. An effective approach fo...

We analyze triply degenerate nodal points [or triple (TPs) for short] in energy bands of crystalline solids. Specifically, we focus on spinless band structures, i.e., when spin-orbit coupling is negligible, and consider TPs formed along high-symmetry lines the momentum space by a crossing three transforming according to 1D 2D irreducible corepresentation (ICR) little co-group. The result comple...