🔬 Discovery

Topological insulators

Aislantes topológicos

Date
2005-2008 · confidence high
Place
University of Würzburg, Germany / Princeton, United States
Credited to
Charles Kane; Eugene Mele; Shoucheng Zhang; Laurens Molenkamp; M. Zahid Hasan
People
👤 Charles L. Kane1963–👤 Eugene Mele1950–👤 Laurens W. Molenkamp1956–👤 M. Zahid Hasan1971–👤 Shoucheng Zhang1963–2018
Field
Matter & energy

What was discovered

Materials that are insulating in their interior but have conducting surface states protected by the topology of their band structure, predicted by Kane and Mele (2005) and observed in HgTe wells (Molenkamp, 2007) and in Bi-Sb (Hasan, 2008). They open up the topological classification of phases of matter.

Microsoft's results on Majorana qubits (2018, 2025) remain controversial.

What it led to

  • Topological matter (Weyl semimetals, topological superconductors)
  • Search for Majorana fermions
  • Topological quantum computing
  • 2016 Nobel Prize for Thouless, Haldane and Kosterlitz
🕸️ View in the graph

Built on

  • Graphene2004
  • Quantum Hall effect and its topological interpretation (TKNN, 1982)
  • Spin-orbit coupling

Made possible

  • Low-dissipation spintronics
  • Topological qubits (in development)

📄 Original publication

Z 2 Topological Order and the Quantum Spin Hall EffectC. L. Kane, E. J. Mele · Physical Review Letters · 2005

Links