Berlin 2008 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 24: Correlated Electrons: Low-dimensional Systems - Models
TT 24.7: Vortrag
Mittwoch, 27. Februar 2008, 15:45–16:00, H 2053
Density Distribution in Finite One-Dimensional Interacting Fermion Systems — •Stefan Soeffing and Sebastian Eggert — FB Physik, TU Kaiserslautern, 67663 Kaiserslautern
We numerically investigate the ground state density distribution of the Hubbard model with open boundary conditions by means of the Density Matrix Renormalization Group (DMRG). In addition to the expected Friedel oscillations with wave vector 2kF, we also observe 4kF Wigner crystal oscillations which are in certain cases the dominant contribution.
We systematically analyze the amplitude of the density oscillations as a function of system length, lattice filling and interaction strength. The decay of the standing waves with respect to the distance from the boundaries is compared with the predicted power laws from Luttinger Liquid theory.