Topological Properties in a Λ/V-Type Dice Model

Abstract

We studied a non-interacting Λ/V-type dice model composed of three triangular sublattices. By considering the isotropic nearest-neighbor hoppings and the next-nearest-neighbor hoppings with the phase, as well as the quasi-staggered on-site potential, we acquired the full phase diagrams under the different fillings of the energy bands. There are abundant topological non-trivial phases with different Chern numbers C=±1, as well as higher ones ±2,±3 and a metal phase in several regimes. In addition, we also checked the bulk–edge correspondence of the system by analyzing the edge-state energy spectrum.

Switching of topological phase and topological channel via asymmetric hopping modulations in a one-dimensional superconducting circuit lattice

“…When there are defects in all cavities, it can be seen from the energy spectrum that the structure of the energy band produces a shifting phenomenon, but does not affect the period of the energy spectrum in figure 11(d). Thus, when the defects of different values are added to the cavity, the edge states either appear in the energy gap or are embedded in the bulk band, which leads to a transition from topological insulator to common metal phase [44,45], demonstrating the topological insulators-metal transitions and the topology phase switch.…”

“…Zheng et al [39] constructed five-dimension electric circuit platforms in fully real space and experimentally observe topological phase transitions. Therefore, the motivation comes from the above [32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48], we construct a onedimensional topological system based on superconducting circuits according to the current experimental feasibility parameters [49][50][51][52][53][54], and study and control its topological properties, which provides new ways for building scalable quantum networks in the future.…”

Advances in Topological Materials

“…The authors argue that this design might be advantageous for further experimental studies of photonic Weyl materials. Cheng and Gao [8] study a non-interacting Λ/V-type dice model composed of three triangular sublattices. By considering certain nearest-neighbor and next-nearestneighbor hopping terms, as well as a quasi-staggered on-site potential, they acquire the full phase diagrams for different energy band fillings.…”