Conformal field theory in the Tomonaga–Luttinger model with the 1/rβlong-range interaction

2003/10/31 by Hitoshi Inoue, K. Nomura · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.str-el

paper · pdf · doi:10.1088/0305-4470/39/9/012

published as J. Phys. A: Math. Gen. 39, 2161(2006) · This paper is the final version. 23 pages, 11 figures

openalex publication_date 2006/02/15 · arxiv created 2008/03/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We attempt to construct U (1) conformal field theory (CFT) in the Tomonaga–Luttinger (TL) liquid with the 1/ r β 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.

Citations

• Conformal invariance and universality in finite-size scaling

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