Conformal field theory in Tomonaga-Luttinger model with $1/r^β$ type long-range interactions
Abstract
Description
The validity of the CFT in the Tomonaga-Luttinger liquid with the $1/r^β$ 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.
This paper is the final version. 23 pages, 11 figures
This paper is the final version. 23 pages, 11 figures