Electron correlations in a partially filled first excited Landau level

Abstract

The form of electron correlations in a partially filled degenerate Landau level (LL) is related to the behavior of the anharmonic part of the interaction pseudopotential. Unlike in the lowest LL, the pseudopotential in the first excited LL is harmonic at short range. As a result, the incompressible states in this LL have different correlations, occur at different filling factors nu, and cannot be described by a composite fermion model. The series of Laughlin-correlated states of electron pairs is proposed at nu=2+2/(q_2+2) with integer q_2. It includes Moore-Read nu=5/2 state and the nu=7/3 state. Despite coincidence of the values of nu, the latter state has different correlations than Laughlin state of single electrons at nu=1/3 and, in finite systems, occurs at a different LL degeneracy (flux).

4 pages, 5 figures, paper for EP2DS14

Cited by in corpus (10)

• Non-Abelian Anyons and Topological Quantum Computation
• Experimental studies of the fractional quantum Hall effect in the first excited Landau level
• A nu=2/5 Paired Wavefunction
• Fractional Quantum Hall States of Clustered Composite Fermions
• Fractional Quantum Hall Effect in the Second Landau Level: the Importance of Inter-Composite-Fermion Interaction
• The Hierarchy of Incompressible Fractional Quantum Hall States
• Three-body correlations and finite-size effects in the Moore--Read states on a sphere
• Novel Families of Fractional Quantum Hall States: Pairing of Composite Fermions
• Residual interactions and correlations among Laughlin quasiparticles: Novel hierarchy states
• Non-quasiconvex dispersion of composite fermions and the fermionic Haffnian state in the first-excited Landau level