Numerical study of the one-dimensional spin-orbit coupled system with SU(2)⊗SU(2) symmetry

Yasufumi Yamashita, Naokazu Shibata, Kazuo Ueda

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)


We numerically study the SU(2)⊗SU(2) symmetric spin-orbit coupled model as a lower symmetric generalization of the SU(4) exchange model. On the symmetric line with respect to the spin and orbit, our result shows the essentially singular gap formation in consistent with the analytic approach, which is different from the previous numerical calculation. Furthermore, we find a new critical phase around the SU(4) point, surrounding the previously known gapless symmetric line. In the novel phase spin or orbital excitations around momentum q = π form massless continua which split from the excitations belonging to the [22] irreducible representation at the SU(4) point. Near the critical symmetric line, the additional coupled spin-orbit excitations around q = π/2 originating from [2112] become the lowest.

Original languageEnglish
Pages (from-to)242-247
Number of pages6
Journaljournal of the physical society of japan
Issue number1
Publication statusPublished - 2000 Jan
Externally publishedYes


  • DMRG
  • Orbital fluctuations
  • SU(4) symmetry
  • Spin-orbit coupled system

ASJC Scopus subject areas

  • Physics and Astronomy(all)


Dive into the research topics of 'Numerical study of the one-dimensional spin-orbit coupled system with SU(2)⊗SU(2) symmetry'. Together they form a unique fingerprint.

Cite this