Web11 de abr. de 2024 · By virtue of these remarkable capabilities, photonic time-division multiplexing schemes have been used to emulate a wide range of phenomena in synthetic (1+1)D lattices, including Anderson localization, [51, 52] geometrical pumping, and topological phases [53, 54] or nonlinear effects [55, 56] and neural networks as well as … Web31 de mai. de 2024 · Abstract. Electronic materials harbor a plethora of exotic quantum phases, ranging from unconventional superconductors to non-Fermi liquids and, more …

Higher-order band topology Nature Reviews Physics

Web31 de jul. de 2024 · For hyperbolic lattices with different quantized curvatures, we examine the topological protection of helical edge states and generalize Hofstadter's butterfly, by employing two empirical parameters that measure … Web25 de mar. de 2024 · We have chosen two algorithms: the Corner Transfer Matrix Renormalization Group and the Higher-Order Tensor Renormalization Group. This work, based on tensor-network analysis, opens doors for the understanding of phase transition and entanglement of the interacting systems on the non-Euclidean geometries. knott\u0027s berry farm hotel restaurant

Higher-order topological pumping and its observation in photonic lattices

Web7 de set. de 2024 · To explore the non-Euclidean generalization of higher-order topological phenomena, we construct a higher-order topological insulator model in hyperbolic … Web25 de fev. de 2024 · Our work suggests a new way to engineer hyperbolic topological states with higher-order topological invariants. ... X. & Park, N. Topological … Webhyperbolic geodesic through τ ∈ H. Since no complete geodesic can be entirely contained in a horoball, A·Lτ must meet W, and therefore a·L is well-rounded for some a ∈ A. Figure 1. The well-rounded spine for SL 2(Z). The well-rounded lattices in Rn also form a compact spine for the space SOn(R)\SLn(R)/SLn(Z), red goth background