Münster 1997 – scientific programme
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TT: Tiefe Temperaturen
TT 14: Postersitzung II: Korrelierte Systeme(1-40), Theorie der Supraleitung(41-50), Metall-Isolator-Übergang, Lokalisierung(51-66), Niederdimensionale Systeme, Quantenhalleffekt(67-80), Pinning, kritische Ströme und Vortexdynamik(81-93), HTSL-Drähte und -Bänder(94-98), Massive HTSL(99-104), supraleitende Borkarbide(105-109)
TT 14.6: Poster
Wednesday, March 19, 1997, 15:00–18:30, Z1
Exact solution of the one-dimensional boson-fermion model — •Johannes Voit1 and Yupeng Wang2 — 1School of Physics, University of New South Wales, Sydney, und BIMF und Theoretische Physik 1, Universität Bayreuth — 2Cryogenic Laboratory, Chinese Academy of Sciences, Beijing
The boson-fermion model is important for several aspects of high-Tc superconductivity. It has been invoked e.g., as a phenomenological description of an electron system in the limit of extremely strong electron-phonon coupling or, in 1D, to model the dynamics of charge carriers in a 1D metal embedded in an active medium (thought to describe carriers inside the stripes found in some pervoskites). Here, we present a novel Bethe Ansatz developed by one of us (YW) which allows an exact solution of the 1D boson-fermion model. We use this solution to discuss the Luttinger liquid properties and pairing correlations of this model in its low-energy sector. We compare these results to a renormalization group analysis based on perturbing a Luttinger liquid theory. This approach allows to extend the model to include electron-electron interactions which are beyond the possibilities of the Bethe Ansatz. We also compare our exact critical exponents to those found by Ranninger et al.