Correlations in the impenetrable electron gas
Condensed Matter
2009-10-31 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
solv-int
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/9809076,
title = {Correlations in the impenetrable electron gas},
author = {F. Göhmann and A. R. Its and V. E. Korepin},
journal= {arXiv preprint arXiv:cond-mat/9809076},
year = {2009}
}
Comments
17 pages, Latex