Emergent reflection symmetry from non-relativistic composite fermions

Abstract

A recent experimental study [Pan et al., arXiv: 1902.10262] has shown that fractional quantum Hall effect gaps are essentially consistent with particle-hole symmetry in the lowest Landau level. Motivated by this result, we consider a clean two dimensional electron system (2DES) from the viewpoint of composite fermion mean-field theory. In this short note, we show that while the experiment is manifestly consistent with a Dirac composite fermion theory proposed recently by Son, it can equally well be explained within the framework of non-relativistic composite fermions, first put forward by Halperin, Lee, and Read.

arXiv comment6 pages, 1 figure; v3: added a paragraph in discussion section

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Cited by in corpus (5)

• Zero-field composite Fermi liquid in twisted semiconductor bilayers
• Fluctuations and magnetoresistance oscillations near the half-filled Landau level
• Electromagnetic response of composite Dirac fermions in the half-filled Landau level
• Composite Fermion Nonlinear Sigma Models
• Very high-energy collective states of partons in fractional quantum Hall liquids