From coupled-wire construction of quantum Hall states to wave functions and hydrodynamics

Abstract

In this paper we use a close connection between the coupled wire construction (CWC) of Abelian quantum Hall states and the theory of composite bosons to extract the Laughlin wave function and the hydrodynamic effective theory in the bulk, including the Wen-Zee topological action, directly from the CWC. We show how rotational invariance can be recovered by fine-tuning the interactions. A simple recipe is also given to construct general Abelian quantum Hall states desceibed by the multi-component Wen-Zee action.

15 pages, 5 figures

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• Electrically tunable correlated domain wall network in twisted bilayer graphene
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• Dihedral twist liquid models from emergent Majorana fermions
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• Coupled-wire descriptions of unconventional quantum states in twisted nanostructures