Low-energy local density of states of the 1D Hubbard model

Abstract

We examine the local density of states (DOS) at low energies numerically and analytically for the Hubbard model in one dimension. The eigenstates represent separate spin and charge excitations with a remarkably rich structure of the local DOS in space and energy. The results predict signatures of strongly correlated excitations in the tunneling probability along finite quantum wires, such as carbon nanotubes, atomic chains or semiconductor wires in scanning tunneling spectroscopy (STS) experiments. However, the detailed signatures can only be partly explained by standard Luttinger liquid theory. In particular, we find that the effective boundary exponent can be negative in finite wires, which leads to an increase of the local DOS near the edges in contrast to the established behavior in the thermodynamic limit.

6 pages, 4 figures, more information can be found at http://www.physik.uni-kl.de/eggert/papers/index.html

References in corpus (8)

• Spin-charge separation and localization in one-dimension
• Probing spin-charge separation in a Tomonaga-Luttinger liquid
• Chain breaks and the susceptibility of Sr_2Cu_{1-x}Pd_xO_{3+δ} and other doped quasi one-dimensional antiferromagnets
• Renormalization-group analysis of the one-dimensional extended Hubbard model with a single impurity
• Adaptive Lanczos-vector method for dynamic properties within the density-matrix renormalization group
• Thermodynamics of impurities in the anisotropic Heisenberg spin-1/2 chain
• Local Spectral Weight of a Luttinger Liquid: Effects from Edges and Impurities
• Local Density of States for Individual Energy Levels in Finite Quantum Wires

Cited by in corpus (2)

• Spin Correlations in Quantum Wires
• Boundary logarithmic corrections to the dynamical correlation functions of one-dimensional spin-1/2 chains