Universal correlations of one-dimensional electrons at low density

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dc.creatorGöhmann, F.
dc.date2000-07-20
dc.date.accessioned2026-07-07T02:38:16Z
dc.date.available2026-07-07T02:38:16Z
dc.descriptionWe summarize results on the asymptotics of the two-particle Green functions of interacting electrons in one dimension. Below a critical value of the chemical potential the Fermi surface vanishes, and the system can no longer be described as a Luttinger liquid. Instead, the non-relativistic Fermi gas with infinite point-like repulsion becomes the universal model for the long-wavelength, low temperature physics of the one-dimensional electrons. This model, which we call the impenetrable electron gas, allows for a rigorous mathematical treatment. In particular, a so-called determinant representation for the two particle Green function could be derived. This determinant representation is related to an integrable classical evolution equation and to a Riemann-Hilbert problem, that enable the exact calculation of the asymptotics of the two-particle Green functions.
dc.description22 pages, AMS-Latex, invited talk, presented at the workshop on `Isomonodromic Deformations and Applications in Physics', Montreal, May 1-6, 2000
dc.identifierhttps://arxiv.org/abs/cond-mat/0007327
dc.identifierhttp://arxiv.org/abs/cond-mat/0007327
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16607
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleUniversal correlations of one-dimensional electrons at low density
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