Recursive Method for the Density of States in One Dimension

Details Recursive Method for the Density of States in One Dimension Recursive Method for the Density of States in One Dimension

2009-09-30

arxiv.org/abs/0910.0003v2

Phys. Rev. Lett. 104, 036402 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages and 3 figures. The latest version can be found at http://www.physik.uni-kl.de/eggert/papers/index.html

Scientific paper

10.1103/PhysRevLett.104.036402

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.

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