Regensburg 2013 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 40: Poster Session Correlated Electrons

TT 40.35: Poster

Mittwoch, 13. März 2013, 15:00–19:00, Poster D

Thermal form factors of the anisotropic Heisenberg chain — •Maxime Dugave and Frank Göhmann — Bergische Universität Wuppertal

We derive expressions for the form factors of the quantum transfer matrix of the spin-1/2 XXZ chain which allow us to take the infinite Trotter number limit. This solves the longstanding problem of describing analytically the amplitudes in the leading asymptotics of the finite temperature correlation functions of the model. We show how known results for the high-temperature asymptotics are recovered from the form factor expansion. In the zero-temperature limit we derive the ‘critical behaviour’ of the form factors from our formulae.