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Fractional Excitonic Insulator.

Yichen Hu1, Jörn W F Venderbos1, C L Kane1

  • 1Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6323, USA.

Physical Review Letters
|October 9, 2018
PubMed
Summary
This summary is machine-generated.

Researchers propose a novel fractional quantum Hall effect in electron-hole systems without magnetic fields. This discovery could pave the way for new electronic states and materials.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Hall Effect
  • Excitonic Pairing

Background:

  • The fractional quantum Hall effect (FQHE) is typically observed in two-dimensional electron systems subjected to strong magnetic fields.
  • Excitonic pairing, involving electrons and holes, offers a potential avenue for realizing novel quantum states.

Purpose of the Study:

  • To investigate the possibility of achieving an FQHE analog in an electron-hole system at zero magnetic field.
  • To introduce and validate a theoretical framework for describing such a state.

Main Methods:

  • Development of a modified Laughlin wave function for electrons and holes.
  • Application of composite fermion mean-field theory for m>1.
  • Derivation of an interacting Hamiltonian and analysis of band structure engineering.

Main Results:

  • A correlated electron-hole fluid can exhibit FQHE-like behavior at zero magnetic field.
  • The proposed wave function is the exact ground state for a specific p_{x}+ip_{y} excitonic pairing model (m=1).
  • Evidence suggests the wave function describes the m>1 phase, with the m=3 state potentially realizable in specific band structures.

Conclusions:

  • The study presents a theoretical foundation for a zero-field fractional excitonic insulator.
  • Realization in physical systems may be possible through band structure engineering and numerical simulations.
  • This work opens new directions for exploring exotic quantum phases in condensed matter systems.