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arxiv: cond-mat/9702066 · v1 · submitted 1997-02-07 · ❄️ cond-mat.mes-hall

A dual 2D model for the Quantum Hall Fluid

classification ❄️ cond-mat.mes-hall
keywords modelhallcorrespondingdimensionaldualfluidpointsquantum
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We present a dual two dimensional model for the Quantum Hall Fluid depending on two parameters and show that this model has topologically non-trivial vacua which are infrared stable fixed points of the Renormalization Group. The model has a discrete (modular) symmetry which reproduces the fenomenological law of corresponding states and allows for an unified description of the critical points corresponding to Hall plateaus in terms of a 2 dimensional Conformal Field Theory.

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