2008/10/09 by K. P. Schmidt, Kai Phillip Schmidt, Julien Dorier +3
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Algebraic structures and combinatorial models #Heisenberg model #Invariant (physics) #Limit (mathematics) #Magnetic field #Magnetization #Physics of Superconductivity and Magnetism #Quantum #Unitary state #cond-mat.str-el
paper · pdf · doi:10.1088/1742-6596/145/1/012047
8 pages, Proceedings of the HFM2008 Conference
arxiv created 2008/10/09 · openalex publication_date 2009/01/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study an extended two-dimensional Shastry-Sutherland model in a magnetic field where besides the usual Heisenberg exchanges of the Shastry-Sutherland model two additional SU(2) invariant couplings are included. Perturbative continous unitary transformations are used to determine the leading order effects of the additional couplings on the pure hopping and on the long-range interactions between the triplons which are the most relevant terms for small magnetization. We then compare the energy of various magnetization plateaux in the classical limit and we discuss the implications for the two-dimensional quantum magnet SrCu 2 (BO 3 ) 2 .