Renormalization group analysis of the spin-gap phase in the one-dimensional t-J model

Details Renormalization group analysis of the spin-gap phase in the one-dimensional t-J model Renormalization group analysis of the spin-gap phase in the one-dimensional t-J model

1997-08-27

arxiv.org/abs/cond-mat/9708204v2

Phys.Rev.Lett. 79 (1997) 3214

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages(RevTeX), 5 figures(EPS), TITCMT-97-10, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.79.3214

We study the spin-gap phase in the one-dimensional t-J model, assuming that it is caused by the backward scattering process. Based on the renormalization group analysis and symmetry, we can determine the transition point between the Tomonaga-Luttinger liquid and the spin-gap phases, by the level crossing of the singlet and the triplet excitations. In contrast to the previous works, the obtained spin-gap region is unexpectedly large. We also check that the universality class of the transition belongs to the $k=1$ SU(2) Wess-Zumino-Witten model.

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