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2016 | 130 | 5 | 1183-1186
Article title

Quantum Hall State ν = 1/3 and Antilexicographic Order of Partitions

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EN
Abstracts
EN
We focus on a certain aspect of trial wave function approach in the fractional quantum Hall effect. We analyze the role of partition orderings and discuss the possible numerical search for the partition determining the subspace of the Hilbert space containing a particular quantum Hall wave function. This research is inspired by analogical properties of certain polynomials which are the object of interest of the symmetric function theory, especially the Jack polynomials (related to the so-called "Jack states"). Presented method may be used in the search of candidate trial wave functions. We also justify (in certain cases) diagonalization of the Coulomb repulsion Hamiltonian restricted to certain subspaces. We focus on the states at filling factor ν=1/3 in the lowest and second Landau level.
Keywords
EN
Year
Volume
130
Issue
5
Pages
1183-1186
Physical description
Dates
published
2016-11
References
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Document Type
Publication order reference
YADDA identifier
bwmeta1.element.bwnjournal-article-appv130n506kz
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