Berlin 2012 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 1: Correlated Electrons: Low-dimensional Systems - Models 1
TT 1.4: Vortrag
Montag, 26. März 2012, 10:15–10:30, H 0104
Local density of states of the one-dimensional spinless fermion model — •Eric Jeckelmann — Leibniz Universität Hannover, Germany
We investigate the local density of states of the one-dimensional half-filled
spinless fermion model with nearest-neighbor hopping t>0 and interaction V
in its Luttinger liquid phase −2t < V ≤ 2t.
The bulk density of states and the local density of states in open chains
are calculated over the full band width ∼ 4t with an energy resolution ≤ 0.08t
using the dynamical density-matrix renormalization group (DDMRG) method.
We also perform DDMRG simulations with a resolution of 0.01t
around the Fermi energy to reveal the power-law behaviour
D(є) ∼ | є −єF|α
predicted by the Luttinger liquid theory for bulk and boundary density of states.
The exponents α are determined using a finite-size scaling analysis
of DDMRG data for lattices with up to 3200 sites.
The results agree with the exact exponents given by the Luttinger liquid theory
combined with the Bethe Ansatz solution.
The crossover from boundary to bulk density of states is analyzed.
We have found that boundary effects can be seen in the
local density of states at all energies even far away from the chain edges [1].
E. Jeckelmann, arXiv:1111.6545v1 [cond-mat.str-el]