title: Phase transitions of the random-bond Potts chain with long-range interactions.
abstract: We study phase transitions of the ferromagnetic q-state Potts chain with random nearest-neighbor couplings having a variance Δ^{2} and with homogeneous long-range interactions, which decay with distance as a power r^{-(1+σ)}, σ>0. In the large-q limit the free-energy of random samples of length L≤2048 is calculated exactly by a combinatorial optimization algorithm. The phase transition stays first order for σ<σ_{c}(Δ)≤0.5, while the correlation length becomes divergent at the transition point for σ_{c}(Δ)<σ<1. In the latter regime the average magnetization is continuous for small enough Δ, but for larger Δ-according to the numerical results-it becomes discontinuous at the transition point, thus the phase transition is expected of mixed order.
authors.affiliation: Institut Néel-MCBT CNRS, B. P. 166, F-38042 Grenoble, France.
authors.forename: Jean-Christian
authors.initials: JC
authors.lastname: Anglès d'Auriac
authors.affiliation: Wigner Research Centre, Institute for Solid State Physics and Optics, H-1525 Budapest, P.O.Box 49, Hungary.|Institute of Theoretical Physics, Szeged University, H-6720 Szeged, Hungary.
authors.forename: Ferenc
authors.initials: F
authors.lastname: Iglói