Exact ground states of a spin-1/2 Ising-Heisenberg model on the Shastry-Sutherland lattice in a magnetic field

Verkholyak T, Strecka J, Mila F, Schmidt KP (2014)

Publication Status: Published

Publication Type: Journal article

Publication year: 2014

Journal

Physical Review B American Physical Society

Publisher: AMER PHYSICAL SOC

Book Volume: 90

Journal Issue: 13

DOI: 10.1103/PhysRevB.90.134413

Abstract

Exact ground states of a spin-1/2 Ising-Heisenberg model on the Shastry-Sutherland lattice with Heisenberg intradimer and Ising interdimer couplings are found by two independent rigorous procedures. The first method uses a unitary transformation to establish a mapping correspondence with an effective classical spin model, while the second method relies on the derivation of an effective hard-core boson model by continuous unitary transformations. Both methods lead to equivalent effective Hamiltonians providing a convincing proof that the spin-1/2 Ising-Heisenberg model on the Shastry-Sutherland lattice exhibits a zero-temperature magnetization curve with just two intermediate plateaus at one-third and one-half of the saturation magnetization, which correspond to stripe and checkerboard orderings of singlets and polarized triplets, respectively. The nature of the remarkable stripe order relevant to the one-third plateau is thoroughly investigated with the help of the corresponding exact eigenvector. The rigorous results for the spin-1/2 Ising-Heisenberg model on the Shastry-Sutherland lattice are compared with the analogous results for the purely classical Ising and fully quantum Heisenberg models. Finally, we discuss to what extent the critical fields of SrCu2(BO3)(2) and (CuCl)Ca2Nb3O10 can be described within the suggested Ising-Heisenberg model.

Authors with CRIS profile

Kai Phillip Schmidt Professur für Theoretische Physik

Involved external institutions

École Polytechnique Fédérale de Lausanne (EPFL) CH Switzerland (CH) Pavol Jozef Šafárik University in Kosice / Univerzita Pavla Jozefa Šafárika v Košiciach SK Slovakia (SK) National Academy of Sciences of Ukraine (NAN) / Національна академія наук України UA Ukraine (UA)

How to cite

APA:

Verkholyak, T., Strecka, J., Mila, F., & Schmidt, K.P. (2014). Exact ground states of a spin-1/2 Ising-Heisenberg model on the Shastry-Sutherland lattice in a magnetic field. Physical Review B, 90(13). https://doi.org/10.1103/PhysRevB.90.134413

MLA:

Verkholyak, Taras, et al. "Exact ground states of a spin-1/2 Ising-Heisenberg model on the Shastry-Sutherland lattice in a magnetic field." Physical Review B 90.13 (2014).

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