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

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

1994-03-07

arxiv.org/abs/cond-mat/9403023v1

Physics

Condensed Matter

4 pages

Scientific paper

We study a system of fermions interacting with a gauge field which can be used to describe either spin liquid or $\nu=1/2$ 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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