Quasihole condensates in quantum Hall liquids

Abstract

We develop a formalism to describe quasihole condensates in quantum Hall liquids and thereby extend the conformal field theory approach to the full hierarchy of spin-polarized Abelian states, and to several classes of non-Abelian hierarchical states. Most previously proposed spin-polarized quantum Hall wave functions appear as special cases. In this paper we explain the physical motivations for the approach, and exemplify it by explicitly constructing the level-two quasihole condensate state at filling fraction 2/3, and the two level-three states at 5/13 and 5/7 which are built from combinations of quasielectron and quasihole condensates.

16 pages

References in corpus (14)

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Cited by in corpus (18)

• Quantum Hall Physics - hierarchies and CFT techniques
• Hall Viscosity of Hierarchical Quantum Hall States
• A note contrasting two microscopic theories of the fractional quantum Hall effect
• Emergent particle-hole symmetry in spinful bosonic quantum Hall systems
• Composite Fermion states on the torus
• The quantum Hall hierarchy in spherical geometry
• From coupled-wire construction of quantum Hall states to wave functions and hydrodynamics
• Energy projection and modified Laughlin states
• Coherent State Wave Functions on a Torus with a Constant Magnetic Field
• Matrix product state representation of quasielectron wave functions
• Hierarchical Nature of the Quantum Hall Effects
• Entanglement Action for the Real-Space Entanglement Spectra of Composite Fermion Wave Functions
• Conformal field theory approach to parton fractional quantum Hall trial wave functions
• Composite Fermions and the First-Landau-Level Fine Structure of the Fractional Quantum Hall Effect
• Microscopic derivation of Ginzburg-Landau theories for hierarchical quantum Hall states
• Generalization of Laughlin's Theory for the Fractional Quantum Hall Effect
• Particle-Hole Mirror Symmetries around the Half-Filled Shell: The Quantum Numbers and Algebraic Structure of Composite Fermions
• Coherent State Wave Functions on the Torus