Possible Anti-Pfaffian Pairing of Composite Fermions in the Lowest Landau Level

Abstract

We predict that an incompressible fractional quantum Hall state is likely to form at $\nu =3/8$ as a result of a chiral p-wave pairing of fully spin polarized composite fermions carrying four quantized vortices, and that the pairing is of the Anti-Pfaffian kind. Possible experimental ramifications are discussed.

References in corpus (4)

• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Observation of neutral modes in the fractional quantum Hall regime

Cited by in corpus (30)

• Quantum Hall Physics - hierarchies and CFT techniques
• Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
• Thirty Years of Composite Fermions and Beyond
• Evidence for pairing states of composite fermions in double-layer graphene
• Competing states for the fractional quantum Hall effect in the 1/3-filled second Landau level
• Phase Diagram of Fractional Quantum Hall Effect of Composite Fermions in Multi-Component Systems
• Enigmatic 4/11 State: A Prototype for Unconventional Fractional Quantum Hall Effect
• Observation of Incompressibility at $\nu =4/11$ and $\nu =5/13$
• Unconventional fractional quantum Hall states and Wigner crystallization in suspended Corbino graphene
• Tripartite Composite Fermion States
• A note contrasting two microscopic theories of the fractional quantum Hall effect
• Even-Denominator Fractional Quantum Hall State at Filling Factor ν = 3/4
• Abelian parton state for the $\nu =4/11$ fractional quantum Hall effect
• The enigma of the $\nu =2+\frac{3}{8}$ fractional quantum Hall effect
• Fractionally charged skyrmions in fractional quantum Hall effect
• Interacting composite fermions: Nature of the 4/5, 5/7, 6/7, and 6/17 fractional quantum Hall states
• Possible realization of a chiral p-wave paired state in a two component system
• Particle-hole symmetry for composite fermions: An emergent symmetry in the fractional quantum Hall effect
• Parton wave function for the fractional quantum Hall effect at $\nu =6/17$
• Bardeen-Cooper-Schrieffer pairing of composite fermions
• Incompressible States of the Interacting Composite Fermions in Negative Effective Magnetic Fields at $\nu =4/13$, 5/17, and 3/10
• Phase diagram of the Two-Component Fractional Quantum Hall Effect
• Anomalously low magnetoroton energies of the unconventional fractional quantum Hall states of composite fermions
• Unconventional Filling Factor 4/11: A Closed-Form Ground State Wave Function
• Bubble phase at $\nu =1/3$ for a spinless hollow-core interaction
• Generalization of Laughlin's Theory for the Fractional Quantum Hall Effect
• Interplay of superconducting, metallic, and crystalline states of composite fermions at $\nu =1/6$ in wide quantum wells
• Cascade of fractional quantum Hall states in 2D system
• Repulsive-Interaction-Driven Topological Superconductivity in a Landau Level Coupled to an $s$-Wave Superconductor
• Topological Protection in a Landau Flat Band at $\nu =7/11$, a Candidate Filling Factor for Unconventional Correlations