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Microscopic derivation of Ginzburg-Landau theories for hierarchical quantum Hall states
by Y. Tournois, M. Hermanns, T. H. Hansson
This Submission thread is now published as
Submission summary
| Ontological classification |
| Academic field: |
Physics |
| Specialties: |
- Condensed Matter Physics - Theory
- Quantum Physics
|
| Approach: |
Theoretical |
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.
List of changes
- We added a comment on existing GLCS theories on page 4
- We added a comment on page 17, emphasizing that the orbital spin is an input to our construction to correctly implement the topological data
- We added a comment below Eq. 5 on the phase field
- We fixed a broken reference on page 13, a wrong variable in the mean-field solution below Eq. 6, and we added hats to fields in Eqs. (20),(28) and (58)
- We slightly modified the first footnote on page 8
- We added two references
- We fixed typos and grammar
- We reformulated the explanation of the status of the field $\hat{\phi}$ around eq. (20) and after eq. (46).
