Correlations in the impenetrable electron gas

Details Correlations in the impenetrable electron gas Correlations in the impenetrable electron gas

1998-09-03

arxiv.org/abs/cond-mat/9809076v1

Phys. Lett. A, 249 (1998) 117

Physics

Condensed Matter

17 pages, Latex

Scientific paper

10.1016/S0375-9601(98)00711-7

We consider non-relativistic electrons in one dimension with infinitely strong repulsive delta function interaction. We calculate the long-time, large-distance asymptotics of field-field correlators in the gas phase. The gas phase at low temperatures is characterized by the ideal gas law. We calculate the exponential decay, the power law corrections and the constant factor of the asymptotics. Our results are valid at any temperature. They simplify at low temperatures, where they are easily recognized as products of free fermionic correlation functions with corrections arising due to the interaction.

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