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The Fermi-Dirac function is represented by an S-shaped curve indicating the probability of an energy state being occupied by an electron at a given temperature. The Fermi level is the energy level at which there is a fifty percent chance of finding an electron, and it is positioned between the lower-energy valence band and the higher-energy conduction band.
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Composite Fermion Pairing Induced by Landau Level Mixing.

Tongzhou Zhao1, Ajit C Balram2,3, J K Jain4

  • 1Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China.

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|May 19, 2023
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Pairing of composite fermions may explain even denominator fractional quantum Hall effects. Monte Carlo simulations suggest Landau level mixing induces this pairing, creating non-Abelian states.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Hall Effect

Background:

  • Composite fermions are key to understanding fractional quantum Hall effects.
  • Non-Abelian braiding statistics in quasiparticles are sought for topological quantum computing.

Purpose of the Study:

  • Investigate composite fermion pairing as a mechanism for even denominator fractional quantum Hall states.
  • Explore the role of Landau level mixing in forming these states.

Main Methods:

  • Utilized fixed-phase diffusion Monte Carlo calculations.
  • Analyzed composite fermion behavior at specific filling factors (ν=1/2, ν=1/4).

Main Results:

  • Predicted that significant Landau level mixing induces composite fermion pairing.
  • Identified the l=-3 relative angular momentum channel for this pairing.
  • Showed this pairing destabilizes composite-fermion Fermi seas.

Conclusions:

  • Composite fermion pairing, driven by Landau level mixing, can lead to non-Abelian fractional quantum Hall states.
  • This mechanism offers a pathway to realizing exotic quasiparticles with non-Abelian statistics.