Explicit Relation of Quantum Hall Effect and Calogero-Sutherland Model
نویسندگان
چکیده
Explicit relation between Laughlin state of the quantum Hall effect and onedimensional(1D) model with long-ranged interaction (1/r) 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 interaction models are derived.
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