Renormalization Group Analysis of the Spin-Gap Phase in the One-Dimensional <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="italic">t</mi></math></span>- <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="italic">J</mi></math></span> Model

Masaaki Nakamura; Kiyohide Nomura; Atsuhiro Kitazawa

doi:10.1103/PhysRevLett.79.3214

Renormalization Group Analysis of the Spin-Gap Phase in the One-Dimensional $t$ - $J$ Model

Masaaki Nakamura, Kiyohide Nomura, and Atsuhiro Kitazawa

Phys. Rev. Lett. 79, 3214 – Published 27 October 1997

Abstract

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 determine that the universality class of the transition belongs to the $k = 1$ SU(2) Wess-Zumino-Witten model.

Received 20 June 1997

DOI:https://doi.org/10.1103/PhysRevLett.79.3214

Authors & Affiliations

Masaaki Nakamura^1,2, Kiyohide Nomura¹, and Atsuhiro Kitazawa^1,2

¹Department of Physics, Kyushu University, Fukuoka 812-81, Japan
²Department of Physics, Tokyo Institute of Technology, Oh-Okayama, Meguro-ku, Tokyo 152, Japan