Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2003-10-22
J. Phys. A: Math. Gen. 39, 2161(2006)
Physics
Condensed Matter
Strongly Correlated Electrons
This paper is the final version. 23 pages, 11 figures
Scientific paper
10.1088/0305-4470/39/9/012
The validity of the CFT in the Tomonaga-Luttinger liquid with the $1/r^\beta$ 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.
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