Dispersion and Symmetry of Bound States in the Shastry-Sutherland Model

2000/05/19 by Christian Knetter, Alexander Bühler, Alexander Buehler +4 · 8 citations
Earth and Planetary Sciences · Physics and Astronomy · #Advanced Condensed Matter Physics #High-pressure geophysics and materials #Physics of Superconductivity and Magnetism #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.85.3958

published as Phys. Rev. Lett. 85, 3958 (2000) · 4 pages, submitted to Phys. Rev. Lett

arxiv created 2000/05/19 · openalex publication_date 2000/10/30 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Bound states made from two triplet excitations on the Shastry-Sutherland lattice are investigated. Based on the perturbative unitary transformation by flow equations quantitative properties like dispersions and qualitative properties like symmetries are determined. The high order results [up to (J₂/J₁)¹⁴] permit one to fix the parameters of SrCu₂(BO₃)₂ precisely: J₁\phantom\rule0ex0ex=\phantom\rule0ex0ex6.16(10)meV, x\ensuremath\mathrel:=J₂/J₁\phantom\rule0ex0ex=\phantom\rule0ex0ex0.603(3), J_\ensuremath⊥\phantom\rule0ex0ex=\phantom\rule0ex0ex1.3(2)meV. At the border of the magnetic Brillouin zone a general double degeneracy is derived. An unexpected instability in the triplet channel at x\phantom\rule0ex0ex=\phantom\rule0ex0ex0.63 indicates a transition towards another phase. The possible nature of this phase is discussed.

Citations

• On Next-Nearest-Neighbor Interaction in Linear Chain. I
• Exact Demonstration of Magnetization Plateaus and First-Order Dimer-Néel Phase Transitions in a Modified Shastry-Sutherland Model forSrCu2(BO3)2
• Flow‐equations for Hamiltonians

Cited by

• Spin-polaron excitations in a doped Shastry-Sutherland model
• Field-induced effects of anisotropic magnetic interactions in SrCu2(BO3)2
• Dzyaloshinski-Moriya Interaction in the 2D Spin Gap SystemSrCu2(BO3)2
• Fractional and Integer Excitations in Quantum Antiferromagnetic Spin1/2Ladders
• Strong Damping of Phononic Heat Current by Magnetic Excitations inSrCu2(BO3)2
• Theory of the Raman spectra of the Shastry-Sutherland antiferromagnetSrCu2(BO3)2doped with nonmagnetic impurities
• High order perturbation theory for spectral densities of multi-particle excitations: S = (1)/(2) two-leg Heisenberg ladder
• Competing Spin-Gap Phases in a Frustrated Quantum Spin System in Two Dimensions