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Characterization of symmetry-protected topological phases in polymerized models by trajectories of Majorana stars

Characterization of symmetry-protected topological phases in polymerized models by trajectories of Majorana stars

By using Majorana's stellar representation, we give a clear geometrical interpretation of the topological phases of inversion-symmetric polymerized models by mapping the Bloch states of multi-band systems to Majorana stars on the Bloch sphere. While trajectories of Majorana stars of a filled Bloch band exhibit quite different geometrical structures for …