Determination of Tomonaga-Luttinger parameters for a two-component liquid

Olabode M. Sule, Hitesh J. Changlani, Isao Maruyama, Shinsei Ryu

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


We provide evidence for the mapping of critical spin-1 chains, in particular the SU(3) symmetric bilinear-biquadratic model with additional interactions, to free boson theories using exact diagonalization and the density-matrix renormalization-group algorithm. Using the correspondence with a conformal field theory with central charge c=2, we determine the analytic formulas for the scaling dimensions in terms of four Tomonaga-Luttinger liquid parameters. By matching the lowest scaling dimensions, we numerically calculate these field-theoretic parameters and track their evolution as a function of the parameters of the lattice model.

Original languageEnglish (US)
Article number075128
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number7
StatePublished - Aug 18 2015
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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