2003/05/24 by M. J. Bhaseen, A. M. Tsvelik · 13 citations
Materials Science · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Condensed matter physics #Frustration #Hamiltonian (control theory) #Iron-based superconductors research #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Spin (aerodynamics) #Spinon #cond-mat
paper · pdf · doi:10.1103/physrevb.68.094405
published in Physical review. B, Condensed matter 68(9) (American Physical Society) · 10 pages, RevTex, 5 figures; SU(N) approach clarified
arxiv created 2003/05/24 · openalex publication_date 2003/09/05 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Recent studies indicate that the weakly coupled, J_\ensuremath⊥\ensuremath≪J, spin-1/2 Heisenberg antiferromagnet with next-nearest-neighbor frustration, J_\ifmmode×\else\texttimes\fi, supports massive spinons for J_\ifmmode×\else\texttimes\fi=J_\ensuremath⊥/2. The straightforward SU(N) generalization of the low-energy ladder Hamiltonian yields two independent SU(N) Thirring models with N\ensuremath-1 multiplets of massive ``spinon'' excitations. We study the evolution of the complete set of low energy dynamical structure factors using form factors. Those corresponding to the smooth (staggered) magnetizations are qualitatively different (the same) in the N=2 and N>2 cases. The absence of single-particle peaks preserves the notion of spinons stabilized by frustration. In contrast to the ladder, we note that the \stackrel\ensuremath→N\ensuremath∞ limit of the four chain model is not a trivial free theory.