Composite fermion pairing induced by Landau level mixing

Abstract

Pairing of composite fermions provides a possible mechanism for fractional quantum Hall effect at even denominator fractions and is believed to serve as a platform for realizing quasiparticles with non-Abelian braiding statistics. We present results from fixed-phase diffusion Monte Carlo calculations which predict that substantial Landau level mixing can induce a pairing of composite fermions at filling factors $\nu =1/2$ and $\nu =1/4$ in the $l=-3$ relative angular momentum channel, thereby destabilizing the composite-fermion Fermi seas to produce non-Abelian fractional quantum Hall states.

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• Composite-fermion pairing at half and quarter filled lowest Landau level
• Fractional Quantum Hall State at Filling Factor $\nu =1/4$ in Ultra-High-Quality GaAs 2D Hole Systems
• Solving and visualizing fractional quantum Hall wavefunctions with neural network
• Quarter- and half-filled quantum Hall states and their topological orders revealed by daughter states in bilayer graphene
• Taming Landau level mixing in fractional quantum Hall states with deep learning
• Paired fermions in strong magnetic fields and daughters of even-denominator Hall plateaus
• Phase diagram of compressible and paired states in the quarter-filled Landau level
• Competing Many-Body Phases at Small Fillings in Ultrahigh-Quality GaAs 2D Hole Systems: Role of Landau Level Mixing
• Developing fractional quantum Hall states at $\nu$ = $\frac{1}{7}$ and $\frac{2}{11}$ in the presence of significant Landau level mixing
• Dispersion of neutral collective modes in partonic fractional quantum Hall states and its applications to paired states of composite fermions
• Interaction-driven quantum phase transitions between topological and crystalline orders of electrons
• Spinless and spinful charge excitations in moiré Fractional Chern Insulators
• Interplay of superconducting, metallic, and crystalline states of composite fermions at $\nu =1/6$ in wide quantum wells
• Even-denominator fractional quantum Hall states in the zeroth Landau level of ABA trilayer graphene
• Repulsive-Interaction-Driven Topological Superconductivity in a Landau Level Coupled to an $s$-Wave Superconductor