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arXiv · hep-th/9312001

Explicit Relation of Quantum Hall Effect and Calogero-Sutherland Model

Hiroo Azuma·Satoshi Iso
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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.

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Hiroo Azuma, Satoshi Iso. 1993-12-01. Explicit Relation of Quantum Hall Effect and Calogero-Sutherland Model. https://doi.org/10.1016/0370-2693(94)90949-0

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