Berlin 2008 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 24: Correlated Electrons: Low-dimensional Systems - Models

TT 24.8: Talk

Wednesday, February 27, 2008, 16:00–16:15, H 2053

Local Density of States of a Finite Quantum Wire: Numerical Results from DMRG in Comparison with Bosonization Results — Imke Schneider and •Sebastian Eggert — FB Physik, TU Kaiserslautern, 67663 Kaiserslautern

We consider a finite quantum wire, modeled by a one-dimensional system of locally interacting Fermions. We are able to numerically obtain the local density of states (LDOS) with the help of the density matrix renormalization group (DMRG). We believe this is the first time that the LDOS was calculated energy and spatially resolved for an interacting lattice model. We are able to compare to analytic expressions for individual energy levels in systems with open boundary conditions from Luttinger Liquid theory.

In this way, a detailed understanding of the LDOS for each individual energy level can be obtained in both fermionic and bosonic pictures. Certain degeneracies of the Luttinger Liquid spectrum are lifted in the lattice model by band curvature and interaction effects, leading to a large number of states and energy levels in the LDOS.