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Topological order parameters for interacting topological insulators.

Zhong Wang1, Xiao-Liang Qi, Shou-Cheng Zhang

  • 1Department of Modern Physics, University of Science and Technology of China, Hefei, 230026, PR China.

Physical Review Letters
|January 15, 2011
PubMed
Summary
This summary is machine-generated.

We introduce a new topological order parameter for interacting topological insulators, measurable via the topological magneto-electric effect. This parameter precisely quantifies topological phases in complex systems.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • Topological insulators possess unique electronic properties protected by topology.
  • Understanding interacting and disordered topological systems remains a challenge.
  • Existing order parameters often fail in the presence of interactions.

Purpose of the Study:

  • To develop a robust topological order parameter for interacting topological insulators.
  • To establish a method for experimental measurement of topological phases.
  • To enable the determination of phase diagrams for complex topological materials.

Main Methods:

  • Formulation of a topological order parameter using full Green's functions.
  • Theoretical analysis of the parameter's quantization properties.
  • Connection to the topological magneto-electric effect for experimental validation.

Main Results:

  • The proposed order parameter is exactly quantized for time-reversal invariant topological insulators.
  • The parameter is experimentally accessible via the topological magneto-electric effect.
  • The parameter's applicability extends to both interacting and disordered systems.

Conclusions:

  • A novel, experimentally verifiable topological order parameter has been established.
  • This parameter provides a powerful tool for characterizing topological phases in complex materials.
  • The findings pave the way for a deeper understanding and classification of topological phases.