Quantum Hall wave functions on the torus

Abstract

We present explicit expressions for a large set of hierarchy wave functions on the torus. Included are the Laughlin states, the states in the positive Jain series, and recently observed states at e.g. $\nu =4/11$. The techniques we use constitute a nontrivial extension of the conformal field theory methods developed earlier to construct the corresponding wave functions in disc geometry.

References in corpus (10)

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Cited by in corpus (28)

• Quantum Hall Physics - hierarchies and CFT techniques
• Quantum Hall system in Tao-Thouless limit
• Quantum Hall quasielectron operators in conformal field theory
• Hall Viscosity of Hierarchical Quantum Hall States
• Entanglement Scaling of Fractional Quantum Hall states through Geometric Deformations
• Quasiparticles and excitons for the Pfaffian quantum Hall state
• Exact results for model wave functions of anisotropic composite fermions in the fractional quantum Hall effect
• Hierarchy wave functions--from conformal correlators to Tao-Thouless states
• Composite Fermions on a Torus
• Quasihole condensates in quantum Hall liquids
• Multidimensional dark space and its underlying symmetries: towards dissipation-protected qubits
• A general approach to quantum Hall hierarchies
• Composite Fermion states on the torus
• The quantum Hall hierarchy in spherical geometry
• Evolution of quantum entanglement with disorder in fractional quantum Hall liquids
• Coherent State Wave Functions on a Torus with a Constant Magnetic Field
• Laughlin states and their quasi-particle excitations on the torus
• Dynamics and level statistics of interacting fermions in the Lowest Landau Level
• Lattice Laughlin states on the torus from conformal field theory
• Success and failure of the plasma analogy for Laughlin states on a torus
• Geometry and large N limits in Laughlin states
• On the modular covariance properties of composite fermions on the torus
• Quantum Error Correction in the Lowest Landau Level
• Microscopic derivation of Ginzburg-Landau theories for hierarchical quantum Hall states
• Superlattice induced electron percolation within a single Landau level
• Stability of Fractional Quantum Hall States in Disordered Photonic Systems
• Liouville perturbation theory for Laughlin state and Coulomb gas
• Coherent State Wave Functions on the Torus