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.

arXiv comment6 pages, 4 figures, more information can be found at http://www.physik.uni-kl.de/eggert/papers/index.html

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• Boundary versus bulk behavior of time-dependent correlation functions in one-dimensional quantum systems
• Observation of spin-charge separation and boundary bound states via the local density of states
• Spin Correlations in Quantum Wires
• Friedel oscillations of one-dimensional correlated fermions from perturbation theory and density functional theory
• Boundary logarithmic corrections to the dynamical correlation functions of one-dimensional spin-1/2 chains
• Decoherence of charge density waves in beam splitters for interacting quantum wires