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 (5)

• Half-Filled Lowest Landau Level on a Thin Torus
• Abelian and Non-abelian Hall Liquids and Charge Density Wave: Quantum Number Fractionalization in One and Two Dimensions
• The Pfaffian quantum Hall state made simple--multiple vacua and domain walls on a thin torus
• Microscopic theory of the quantum Hall hierarchy
• Conformal Field Theory of Composite Fermions

Cited by in corpus (2)

• Quantum Hall system in Tao-Thouless limit
• Hierarchy wave functions--from conformal correlators to Tao-Thouless states