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Berlin 2015 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 72: Low-Dimensional Systems: Poster Session

TT 72.18: Poster

Mittwoch, 18. März 2015, 15:00–18:00, Poster B

Calculation of correlation functions of the Heisenberg chain by means of a hidden fermionic structure — •Raphael Kleinemühl and Frank Göhmann — Bergische Universität Wuppertal

We study short-distance correlation functions of the homogeneous XXZ chain by means of a hidden fermionic structure discovered by Boos et.al. Using computer algebra we explicitly construct the fermionic operators needed in this approach. They act on the space of quasilocal operators on the XXZ chain. For small n we express products of local operators, like σ1z σnz, in terms of the fermionic basis, i.e. by acting with creation operators on a certain vacuum state. Short distance correlation functions appear in various physical applications as e.g. in the calculation of moments of ESR spectral lines. Apart from that it is our goal to extend the approach in such a way that a calculation of correlation functions of large distances becomes possible.

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