[18a-C43-1~9] 1.1 Interdisciplinary and General Physics

9:30 AM - 9:45 AM JST(12:30 AM - 12:45 AM UTC)

[18a-C43-3] Real-space topological invariant in Rice-Mele chains

〇Ata Yamaguchi¹, Kiminori Hattori¹ (1.Osaka Univ.)

Keywords:

topology,topological insulator,topological invariant

In this study, we derive a real-space topological invariant that involves all energy states in the one-dimensional system. This global invariant, denoted by Q, is always quantized to be 0 or 1, independent of symmetries. In terms of Q, we numerically investigate topological properties of the Rice-Mele model including random onsite potentials to show that bulk topology remains intact as long as the spectral gap opens.