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Conformal field theory in Tomonaga-Luttinger model with $1/r^β$ type long-range interactions

Hitoshi Inoue
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Abstract

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.

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Hitoshi Inoue. 2008-03-24. Conformal field theory in Tomonaga-Luttinger model with $1/r^β$ type long-range interactions. https://doi.org/10.1088/0305-4470%2F39%2F9%2F012

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