Recursive Method for the Density of States in One Dimension
Strongly Correlated Electrons
2010-01-19 v2 Mesoscale and Nanoscale Physics
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.
Cite
@article{arxiv.0910.0003,
title = {Recursive Method for the Density of States in One Dimension},
author = {Imke Schneider and Sebastian Eggert},
journal= {arXiv preprint arXiv:0910.0003},
year = {2010}
}
Comments
5 pages and 3 figures. The latest version can be found at http://www.physik.uni-kl.de/eggert/papers/index.html