Pair-distribution functions of correlated composite fermions

Abstract

Pair-distribution functions g(r) of Laughlin quasielectrons (composite fermions in their second Landau level) are calculated in the fractional quantum Hall states at electron filling factors nu_e=4/11 and 3/8. A shoulder in g(r) is found, supporting the idea of cluster formation. The intra- and inter-cluster contributions to g(r) are identified, largely independent of nu_e. The average cluster sizes are estimated; pairs and triplets of quasielectrons are suggested at nu_e=4/11 and 3/8, respectively.

submitted to PRB

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Cited by in corpus (13)

• Enigmatic 4/11 State: A Prototype for Unconventional Fractional Quantum Hall Effect
• Observation of Incompressibility at $\nu =4/11$ and $\nu =5/13$
• Evidence of a fractional quantum Hall nematic phase in a microscopic model
• Landau level mixing in the nu=5/2 fractional quantum Hall state
• The enigma of the $\nu =2+\frac{3}{8}$ fractional quantum Hall effect
• Spin phase diagram of the nu_e=4/11 composite fermion liquid
• The Hierarchy of Incompressible Fractional Quantum Hall States
• Second Generation of Moore-Read Quasiholes in a Composite Fermion Liquid
• Fractional quantum Hall effect and electron correlations in partially filled first excited Landau level
• Bubble phase at $\nu =1/3$ for a spinless hollow-core interaction
• Excitations of the $\nu =5/2$ Fractional Quantum Hall State and the Generalized Composite Fermion Picture
• Mean field approximations for short range four body interactions at $\nu =3/5$
• Topological Protection in a Landau Flat Band at $\nu =7/11$, a Candidate Filling Factor for Unconventional Correlations