Oscillatory crossover from two-dimensional to three-dimensional topological insulators

Chao Xing Liu, Haijun Zhang, Binghai Yan, Xiao Liang Qi, Thomas Frauenheim, Xi Dai, Zhong Fang, Shou Cheng Zhang

Research output: Contribution to journalArticlepeer-review

476 Scopus citations


We investigate the crossover regime from three-dimensional topological insulators Bi2 Te3 and Bi2 Se3 to two-dimensional topological insulators with quantum spin Hall effect when the layer thickness is reduced. Using both analytical models and first-principles calculations, we find that the crossover occurs in an oscillatory fashion as a function of the layer thickness, alternating between topologically trivial and nontrivial two-dimensional behavior.

Original languageEnglish (US)
Article number041307
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number4
StatePublished - Jan 19 2010

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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