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Interfacial Fermi loops from interfacial symmetries.

Ryuji Takahashi1, Shuichi Murakami2

  • 1Department of Physics, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8551, Japan and Department of Applied Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan.

Physical Review Letters
|January 3, 2015
PubMed
Summary
This summary is machine-generated.

We introduce interfacial symmetries, like particle-hole symmetry, revealing new interface state behaviors. A key finding is the "Fermi loop" created by interfacial particle-hole symmetry in topological materials.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • Topological materials exhibit unique electronic properties governed by symmetries.
  • Understanding interface phenomena is crucial for novel electronic devices.

Purpose of the Study:

  • To introduce and define interfacial symmetries.
  • To explore the resulting novel dispersion of interface states.
  • To investigate the origin of the 'Fermi loop' phenomenon.

Main Methods:

  • Conceptualization of interfacial symmetries.
  • Numerical demonstration using the Fu-Kane-Mele tight-binding model.
  • Analysis of Pfaffian properties of the Hamiltonian.

Main Results:

  • Novel interface states arise from interfacial particle-hole and time-reversal symmetries.
  • Interfacial particle-hole symmetry leads to a closed loop of gapless states (a "Fermi loop") at the interface.
  • The Fermi loop is shown to originate from a specific sign change in the Pfaffian.

Conclusions:

  • Interfacial symmetries offer a new perspective on topological phenomena.
  • The identified Fermi loop is a direct consequence of interfacial particle-hole symmetry.
  • This work provides a theoretical and numerical framework for understanding interface states in topological materials.