Dresden 2003 – wissenschaftliches Programm

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TT: Tiefe Temperaturen

TT 2: Systeme korrelierter Elektronen I

TT 2.1: Vortrag

Montag, 24. März 2003, 10:00–10:15, HSZ304

Tomonaga-Luttinger model with impurity at weak two-body interaction — •Tobias Stauber — Institut für Theoretische Physik, Philosophenweg 19, 69120 Heidelberg

The Tomonaga-Luttinger model with impurity is studied by means of flow equations for Hamiltonians. The system is formulated within collective density fluctuations but no use of the bosonization formula is made. The truncation scheme includes operators consisting of up to four fermion operators and is valid for small electron-electron interactions. In this regime, the exact expression for the anomalous dimension is recovered. Furthermore, we verify the phase diagram of Kane and Fisher also for intermediate impurity strength. The approach can be extended to more general one-body potentials.