Conformal field theory in the Tomonaga-Luttinger model with the 1/r β long-range interaction

Hitoshi Inoue, Kiyohide Nomura

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We attempt to construct U(1) conformal field theory (CFT) in the Tomonaga-Luttinger (TL) liquid with the 1/rβ long-range interaction (LRI). Treating the long-range forward scattering as a perturbation and applying CFT to it, we derive finite size scalings which depend on the power of the LRI. The obtained finite size scalings give nontrivial behaviours when β is odd and is close to 2. We find consistency between the analytical arguments and numerical results in the finite size scaling of energy.

Original languageEnglish
Pages (from-to)2161-2175
Number of pages15
JournalJournal of Physics A: Mathematical and General
Volume39
Issue number9
DOIs
Publication statusPublished - Mar 3 2006

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Forward scattering
Long-range Interactions
Conformal Field Theory
Finite-size Scaling
scaling
Liquids
interactions
forward scattering
Odd
Scattering
Model
Liquid
Perturbation
perturbation
Numerical Results
liquids
Energy
Range of data
energy

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

Conformal field theory in the Tomonaga-Luttinger model with the 1/r β long-range interaction. / Inoue, Hitoshi; Nomura, Kiyohide.

In: Journal of Physics A: Mathematical and General, Vol. 39, No. 9, 03.03.2006, p. 2161-2175.

Research output: Contribution to journalArticle

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