Determination of Tomonaga-Luttinger parameters for a two-component liquid
Abstract
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 formulae 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.
Keywords
Cite
@article{arxiv.1502.02228,
title = {Determination of Tomonaga-Luttinger parameters for a two-component liquid},
author = {Olabode M. Sule and Hitesh J. Changlani and Isao Maruyama and Shinsei Ryu},
journal= {arXiv preprint arXiv:1502.02228},
year = {2016}
}
Comments
11 pages, 10 figures. The first two authors contributed equally to this work. Introduction updated, several referee comments incorporated