Recursive Method for the Density of States in One Dimension

Abstract

We derive a powerful yet simple method for analyzing the local density of states in gapless one dimensional fermionic systems, including extensions such as momentum dependent interaction parameters and hard-wall boundaries. We study the crossover of the local DOS from individual density waves to the well-known asymptotic powerlaws and identify characteristic signs of spin charge separation in possible STM experiments. For semi-infinite systems a closed analytic expression is found in terms of hypergeometric functions.

5 pages and 3 figures. The latest version 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
• Universal theory of nonlinear Luttinger liquids
• The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
• Spectral function of spinless fermions on a one-dimensional lattice
• Local Spectral Weight of a Luttinger Liquid: Effects from Edges and Impurities
• Local Density of States for Individual Energy Levels in Finite Quantum Wires
• Local density of states of 1D Mott insulators and CDW states with a boundary
• Lattice vs. continuum theory of the periodic Heisenberg chain

Cited by in corpus (13)

• Spectral properties of Luttinger liquids: A comparative analysis of regular, helical, and spiral Luttinger liquids
• Boundary effects on the local density of states of one-dimensional Mott insulators and charge density wave states
• Physics in one dimension: theoretical concepts for quantum many-body systems
• Local density of states of the one-dimensional spinless fermion model
• Metamorphosis and Taxonomy of Andreev Bound States
• Conducting fixed points for inhomogeneous quantum wires: a conformally invariant boundary theory
• Spectral properties of one-dimensional spiral spin density wave states
• The dynamic structure factor in impurity-doped spin chains
• Local density of states of a quarter-filled one-dimensional Mott insulator with a boundary
• Density of states anomalies in multichannel quantum wires
• Boundary logarithmic corrections to the dynamical correlation functions of one-dimensional spin-1/2 chains
• From Luttinger liquids to Luttinger droplets via higher-order bosonization identities
• Decoherence of charge density waves in beam splitters for interacting quantum wires