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Explicit Relation of Quantum Hall Effect and Calogero-Sutherland Model | | Hiroo Azuma
; Satoshi Iso
; | | Date: |
1 Dec 1993 | | Journal: | Phys. Lett. B331 (1994) 107-113 | | Subject: | hep-th cond-mat | | Abstract: | Explicit relation between Laughlin state of the quantum Hall effect and one-dimensional(1D) model with long-ranged interaction ($1/r^2$) is discussed. By rewriting lowest Landau level wave functions in terms of 1D representation, Laughlin state can be written as a deformation of the ground state of Calogero-Sutherland model. Corresponding to Laughlin state on different geometries, different types of 1D $1/r^2$ interaction models are derived. | | Source: | arXiv, hep-th/9312001 | | Services: | Forum | Review | PDF | Favorites | |
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