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Fractional topological insulators.

Michael Levin1, Ady Stern

  • 1Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.

Physical Review Letters
|April 7, 2010
PubMed
Summary
This summary is machine-generated.

We introduce fractional topological insulators, generalizing 2D topological insulators with fractional charge and statistics. A key finding is that a system is a fractional topological insulator if its spin-Hall conductance is odd.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials

Background:

  • Topological insulators (TIs) are quantum states of matter with protected edge states.
  • Generalizations of TIs are sought in interacting electron systems.

Purpose of the Study:

  • To analyze generalizations of two-dimensional topological insulators.
  • To investigate fractional topological insulators (FTIs) in interacting, time-reversal invariant electron systems.

Main Methods:

  • Analysis of interacting, time-reversal invariant electron systems.
  • Investigation of toy models with s(z) conservation.

Main Results:

  • Fractional topological insulators exhibit excitations with fractional charge and statistics.
  • Protected edge modes are present in these systems.
  • A condition for FTIs is identified: an odd spin-Hall conductance (sigma(sH)/e*) in s(z) conserving models.

Conclusions:

  • Fractional topological insulators represent a novel class of quantum matter.
  • The spin-Hall conductance serves as a key indicator for identifying FTIs in specific models.