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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.
Physical Review Letters
|May 19, 2023
Summary
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.
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.
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