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Effective lowering of the dimensionality in strongly correlated two dimensional electron gas

L. B. Ioffe·D. Lidsky·B. L. Altshuler
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Abstract

We study a system of fermions interacting with a gauge field which can be used to describe either spin liquid or $ν=1/2$ Quantum Hall state. We propose a generalized model with a dimensionless parameter $N$. We evaluate the properties of the model in both limits $N \gg 1$ and $N \ll 1$ and deduce the properties of the model in the most physically intersting case of $N=1,2$. At $N \ll 1$ the motion of the fermions becomes one dimensional. This allows us to obtain the fermion Green function and response functions applying bozonization method in this limit.

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L. B. Ioffe, D. Lidsky, B. L. Altshuler. 1994-03-07. Effective lowering of the dimensionality in strongly correlated two dimensional electron gas. https://arxiv.org/abs/cond-mat/9403023

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