title: 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 (DOS) 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 power laws 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.
authors.affiliation: Department of Physics and Research Center OPTIMAS, University of Kaiserslautern, D-67663 Kaiserslautern, Germany.
authors.forename: Imke
authors.initials: I
authors.lastname: Schneider
authors.forename: Sebastian
authors.initials: S
authors.lastname: Eggert