Topology of the valley-Chern effect

Kai Qian, David J. Apigo, Camelia Prodan, Yafis Barlas, Emil Prodan

Research output: Contribution to journalArticlepeer-review

60 Scopus citations


The quantum valley-Hall effect (QVHE) manifests in both classical and quantum materials as the emergence of pairs of quasichiral bands along certain interfaces. This bulk-boundary principle is well understood in the limit where the valleys result from a slight splitting of Dirac singularities. However, using a versatile experimental platform based on magnetically coupled spinners, we demonstrate that this regime is not suitable for metamaterial applications due to the delocalization of the interface modes. We also find that a strong splitting of the Dirac singularities washes away the QVHE. We then propose that the enlargement of the bulk gap to be accompanied by a Berry curvature engineering that keeps it localized near the valleys. This is a new regime, entirely outside the umbrella of Dirac physics, which we call the valley-Chern effect (VCE). By establishing an exact relation between VCE and quantum spin-Hall effect, we demonstrate a robust bulk-boundary principle, which could be the foundation of a new wave of applications of topological metamaterials.

Original languageEnglish (US)
Article number155138
JournalPhysical Review B
Issue number15
StatePublished - Oct 24 2018

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


Dive into the research topics of 'Topology of the valley-Chern effect'. Together they form a unique fingerprint.

Cite this