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arXiv · 2002.08711

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

Y. Tournois·M. Hermanns·T. H. Hansson
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Abstract

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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Y. Tournois, M. Hermanns, T. H. Hansson. 2020-02-20. Microscopic derivation of Ginzburg-Landau theories for hierarchical quantum Hall states. https://doi.org/10.21468/scipostphys.8.5.079

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