Effective lowering of dimensionality in the strongly correlated two dimensional electron gas
- 18 July 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 73 (3), 472-475
- https://doi.org/10.1103/physrevlett.73.472
Abstract
We study a system of fermions interacting with a gauge field which can be used to describe either a spin liquid or the 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≫1 and N≪1 and deduce the properties of the model in the most physically interesting case of N=1,2. At N≪1 the motion of the fermions becomes one dimensional. By applying the bosonization method in this limit, we obtain the fermion Green function and response functions.Keywords
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