Dresden 2006 – wissenschaftliches Programm

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TT: Tiefe Temperaturen

TT 12: Correlated Electrons: Low-dimensional Systems - Models

TT 12.9: Vortrag

Dienstag, 28. März 2006, 11:45–12:00, HSZ 304

Finite quantum wires with long-range interactions — •Imke Schneider and Sebastian Eggert — FB Physik, Univ. Kaiserslautern, 67663 Kaiserslautern

We consider the local density of states of a finite quantum wire with more realistic long range interactions and a high energy cutoff. In order to use the Luttinger liquid formalism it is necessary to introduce a changing effective interaction parameter as a function of momentum. We show that it is possible to modify the formalism so that the electron distribution in individual states can be analyzed with help of a recursive formula. In limiting cases the well-known powerlaws can be recovered. Our results allow quantitative comparisons with numerical simulations of lattice models.