A versatile model with three-dimensional triangular lattice for unconventional transport and various topological effects

Abstract The finite Berry curvature in topological materials can induce many subtle phenomena, such as anomalous Hall effect (AHE), spin (SHE), Nernst (ANE), non-linear (NLHE) and bulk photovoltaic effects. To explore these novel physics well their connection coupling, a precise effective model should be developed. Here, we propose versatile model–3D triangular lattice with alternating hopping parameters, which yield various phases, including kagome bands, triply degenerate fermions, double Weyl semimetal so on. We reveal that this special present unconventional transport due to its unique surface states the aforementioned AHE, ANE, NLHE photocurrent effect. In addition, also provide number of material candidates have been synthesized experimentally lattice, discuss two non-magnetic system for SHE, shift current ferromagnetic AHE ANE. Our work provides an excellent platform both study related physics.