Composite Fermion states on the torus

Abstract

We extend the composite fermion construction to the torus geometry. We verify the validity of our construction by computing the overlap of the composite fermion state to the exact diagonalization ground state of both Coulomb interaction and Haldane-pseudopotential interaction V_0 (V_1) for bosonic (fermionic) states.

published version

References in corpus (9)

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Cited by in corpus (19)

• Quantum Hall Physics - hierarchies and CFT techniques
• Thirty Years of Composite Fermions and Beyond
• Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
• Hall Viscosity of Hierarchical Quantum Hall States
• Exact results for model wave functions of anisotropic composite fermions in the fractional quantum Hall effect
• Composite Fermions on a Torus
• Interacting composite fermions: Nature of the 4/5, 5/7, 6/7, and 6/17 fractional quantum Hall states
• Projective construction of the ${\mathbb{Z}}_k$ Read-Rezayi fractional quantum Hall states and their excitations on the torus geometry
• Evolution of quantum entanglement with disorder in fractional quantum Hall liquids
• Bilayer mapping of the paired quantum Hall state: Instability toward anisotropic pairing
• Energy projection and modified Laughlin states
• Berry phase of the composite-fermion Fermi Sea: Effect of Landau-level mixing
• Laughlin states and their quasi-particle excitations on the torus
• Valley Stoner Instability of the Composite Fermi Sea
• Lattice Laughlin states on the torus from conformal field theory
• Continuous phase transitions between fractional quantum Hall states and symmetry-protected topological states
• A Passage to Topological Matter: Colloquium
• An Exactly Solvable Model for Strongly Interacting Electrons in a Magnetic Field
• On the modular covariance properties of composite fermions on the torus