Composite fermion model for entanglement spectrum of fractional quantum Hall states

Abstract

We show that the entanglement spectrum associated with a certain class of strongly correlated many-body states --- the wave functions proposed by Laughlin and Jain to describe the fractional quantum Hall effect --- can be very well described in terms of a simple model of non-interacting (or weakly interacting) composite fermions.

6 pages, 2 figures

References in corpus (8)

• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Entanglement entropy in fermionic Laughlin states
• Edge state inner products and real-space entanglement spectrum of trial quantum Hall states
• Bipartite entanglement entropy in fractional quantum Hall states
• Conformal Field Theory of Composite Fermions
• Hierarchy wave functions--from conformal correlators to Tao-Thouless states
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• Entanglement Spectrum of Composite Fermion States in Real Space

Cited by in corpus (10)

• Quantum Hall Physics - hierarchies and CFT techniques
• Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
• Thirty Years of Composite Fermions and Beyond
• Abelian topological order of $\nu =2/5$ and $3/7$ fractional quantum Hall states in lattice models
• Optimal free descriptions of many-body theories
• Search for exact local Hamiltonians for general fractional quantum Hall states
• Entanglement Action for the Real-Space Entanglement Spectra of Composite Fermion Wave Functions
• Generalized Gibbs Ensemble Description of Real Space Entanglement Spectra of (2+1)-dimensional Chiral Topological Systems with $SU(2)$ Symmetry
• Conformal field theory approach to parton fractional quantum Hall trial wave functions
• Unlocking new regimes in fractional quantum Hall effect with quaternions