Fidelity as a marker of topological phase transitions in 2D Dirac materials

Juan Carlos Bolívar, Nicolas A. Cordero, Ágnes Nagy, Elvira Romera

Research output: Contribution to journalArticle

1 Citation (Scopus)


Silicene, as other 2D buckled structures, is a gapped Dirac material with intrinsic spin-orbit coupling whose band structure can be controlled by applying a perpendicular electric field. It presents a topological phase transition from a topological insulator to a band insulator at the charge neutrality point. We present in this article a characterization of this phase transition by using fidelity of Loschmidt echoes when a magnetic and two slightly different electric fields are applied by considering the time evolution of two kinds of wave packets, one with a single Gaussian profile and the other with a double Gaussian profile creating a cat state. We also show that Zitterbewegung, classical, and revival Loschmidt periods diverge close to but not exactly at the charge neutrality point and explain this behavior.

Original languageEnglish
Article numbere25674
JournalInternational Journal of Quantum Chemistry
Issue number17
Publication statusPublished - Sep 5 2018


  • Dirac equation
  • bidimensional materials
  • silicene
  • topological phases

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry

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