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Universal correlations of one-dimensional electrons at low density | | F. Göhmann
; | | Date: |
20 Jul 2000 | | Subject: | Condensed Matter; Mathematical Physics; Exactly Solvable and Integrable Systems | cond-mat hep-th math-ph math.MP nlin.SI | | Abstract: | We 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. | | Source: | arXiv, cond-mat/0007327 | | Services: | Forum | Review | PDF | Favorites | |
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