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Microscopic derivation of Ginzburg-Landau theories for hierarchical quantum Hall states

Yoran Tournois, Maria Hermanns, Thors Hans Hansson

SciPost Phys. 8, 079 (2020) · published 18 May 2020


We propose a Ginzburg-Landau theory for a large and important part of the abelian quantum Hall hierarchy, including the prominently observed Jain sequences. By a generalized "flux attachment" construction we extend the Ginzburg-Landau-Chern-Simons composite boson theory to states obtained by both quasielectron and quasihole condensation, and express the corresponding wave functions as correlators in conformal field theories. This yields a precise identification of the relativistic scalar fields entering these correlators in terms of the original electron field.

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Chern-Simons theory Quantum Hall effect

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