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Numerical Study of the One-Dimensional Spin-Orbit Coupled System with SU(2) ⊗SU(2) Symmetry

1999/08/17 by Yasufumi Yamashita, Naokazu Shibata, Kazuo Ueda · 6 citations
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #cond-mat.str-el

paper · pdf · doi:10.1143/jpsj.69.242

6 pages with 5 figures, submitted to J. Phys. Soc. Jpn

arxiv created 1999/08/17 · openalex publication_date 2000/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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 new critical phases around the SU(4) point, surrounding the previously known gapless symmetric line. In these novel phases either 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. On the critical symmetric line, the additional coupled spin-orbit excitations around q=π/2 originating from [2112] become critical, too.

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