Leipzig 2002 – wissenschaftliches Programm

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MP: Theoretische und Mathematische Grundlagen der Physik

MP 16: Quantenfeldtheorie: Renormierungs-Gruppen Methoden u.ä. (Forts.)

MP 16.5: Fachvortrag

Montag, 18. März 2002, 17:40–18:00, HS 18

Exact finite-size scaling with corrections in the two-dimensional Ising model with Brascamp-Kunz boundary conditions — •W. Janke¹ and R. Kenna² — ¹Institut für Theoretische Physik, Universität Leipzig, Augustusplatz 10/11, 04109 Leipzig — ²School of Mathematics, Trinity College Dublin, Ireland

The two-dimensional Ising model with Brascamp-Kunz boundary conditions has a partition function more amenable to analysis than its counterpart on a torus. This fact is exploited to exactly determine the full finite-size scaling behaviour of the Fisher zeroes of the model. Moreover, exact results are also determined for the scaling of the specific heat at criticality, for the specific-heat peak and for the pseudocritical points. All corrections to scaling are found to be analytic and the shift exponent λ does not coincide with the inverse of the correlation length exponent 1/ν.

[1] W. Janke and R. Kenna, Phys. Rev. B (in print) [cond-mat/0103332].