Regensburg 1998 – wissenschaftliches Programm
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TT: Tiefe Temperaturen
TT 10: Postersitzung I: Ladungseffekte in Einelektronensystemen (1-6), Niedrigdimensionale Systeme (7-17), Transporteigenschaften und Pinning in HTSL (18-30), Symmetrie des Ordnungsparameters in HTSL (31-36), Korrelierte Elektronen: Theorie (37-79)
TT 10.50: Poster
Dienstag, 24. März 1998, 09:30–13:00, A
Skalenverhalten und Koh"arenz in schwach gekoppelten Luttinger-Fl"ussigkeiten — •Enrico Arrigoni1, Sylvain Capponi2, and Didier Poilblanc2 — 1Institut für Theoretische Physik Universität Würzburg, D-97074 Würzburg — 2Laboratoire de Physique Quantique and Unité Mixte de Recherche 5626 CNRS, Université Paul Sabatier, 31062 Toulouse, France
The problem of Luttinger chains coupled by a weak single-particle hopping t⊥[1] is studied by means of a diagrammatic expansion in powers of t⊥ and by exact diagonalization. The expectation value of the interchain hopping and the warping of the Fermi surface show a power-law behavior whose exponent can be calculated at all order in the expansion as a function of the Luttinger exponent α [2]. A numerical analysis is in a very good accordance with the expressions for the exponents obtained in this way further showing that finite-size effects can be very well described in terms of an α-dependent universal scaling function [3]. We analyze the effects on these exponents of the particle-hole-hopping regime occurring for α greater than a certain critical value.
[1] C. Castellani, C. Di Castro, and W. Metzner, Phys. Rev. Lett. 69, 1703 (1992)
[2] E. Arrigoni, preprint
[3] S. Capponi, D. Poilblanc, E. Arrigoni, Phys. Rev. B, in press (cond-mat/970916)