Second Generation of Moore-Read Quasiholes in a Composite Fermion Liquid

TL;DR

This paper investigates the pairing and correlation phenomena of composite fermions in the second CF Landau level, revealing potential origins of incompressibility at specific filling factors and the instability of Moore-Read states.

Contribution

It provides a numerical analysis of two- and three-body correlations in the second CF Landau level, highlighting pairing mechanisms and quasihole condensation as explanations for observed incompressibility.

Findings

Pairing of composite fermions at nu_e=4/11

Instability of Moore-Read state at 1/2-filled second CF level

Signatures of triplet correlations at higher fillings

Abstract

Two- and three-body correlations of incompressible quantum liquids are studied numerically. Pairing of composite fermions (CFs) in the 1/3-filled second CF Landau level is found at nu_e=4/11. It is explained by reduced short-range repulsion due to ring-like single-particle charge distribution. Although Moore-Read state of CFs is unstable in the 1/2-filled second CF level, condensation of its quasiholes is a possible origin of incompressibility at nu_e=4/11. Electron pairing occurs at nu_e=7/3 and 13/3, but with different pair-pair correlations. Signatures of triplets are found at higher fillings.