The validity of the CFT in the Tomonaga-Luttinger liquid with the 1/rβ type long-range interactions is discussed. The arguments by CFT for long-range forward scatterings predict the finite size corrections which depend on the power of the long-range interactions. Especially from finite size corrections in the ground state, we find the effective central charge deviates from c=1. These conformal arguments are numerically tested in the one particle excitations and the ground state.
@article{arxiv.cond-mat/0310527,
title = {Conformal field theory in Tomonaga-Luttinger model with $1/r^\beta$ type long-range interactions},
author = {Hitoshi Inoue},
journal= {arXiv preprint arXiv:cond-mat/0310527},
year = {2008}
}
Comments
This paper is the final version. 23 pages, 11 figures