WebMay 20, 2024 · Topological states of quantum matter have attracted great attention in condensed matter physics and materials science. The study of time-reversal-invariant topological states in quantum materials has made tremendous progress. However, the study of magnetic topological states falls much behind due to the complex magnetic structures. … WebJun 22, 2024 · The analysis demonstrates that the Berry phase for two-dimensional lattices is π -quantal and topological when s = 0, equalling π when the contour encloses a Dirac point and zero in all other situations (avoided crossings or line crossings). The analogous result is obtained, up to an O ( s) residual, when s ≃ 0 and similarly for s ≃ 1 2.

Programmable elastic valley Hall insulator with tunable interface ...

WebWe present a manifestly gauge-invariant description of Chern numbers associated with the Berry connection defined on a discretized Brillouin zone. It provides an efficient method of computing (spin) Hall conductances without specifying gauge-fixing conditions. We demonstrate that it correctly reproduces quantized Hall conductances even on a coarsely … WebAs a topological invariant of the two-dimensional (2D) dispersion band of the photonic crystal, the Chern number is defined based on the Berry curvature within the first … green tea turmeric and ginger

Chern Numbers in Discretized Brillouin Zone: Efficient Method of ...

WebMar 8, 2005 · We present a manifestly gauge-invariant description of Chern numbers associated with the Berry connection defined on a discretized Brillouin zone. It … WebChern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances. We present a manifestly gauge-invariant description of Chern … http://export.arxiv.org/abs/cond-mat/0503172 fnb head office contact details windhoek