Magnetic Chern bands and triplon Hall effect in an extended Shastry-Sutherland model

M. Malki and K. P. Schmidt
Phys. Rev. B 95, 195137 – Published 18 May 2017

Abstract

We study topological properties of one-triplon bands in an extended Shastry-Sutherland model relevant for the frustrated quantum magnet SrCu2(BO3)2. To this end perturbative continuous unitary transformations are applied about the isolated dimer limit allowing us to calculate the one-triplon dispersion up to high order in various couplings including intra- and interdimer Dzyaloshinskii-Moriya interactions and a general uniform magnetic field. We determine the Berry curvature and the Chern number of the different one-triplon bands. We demonstrate the occurrence of Chern numbers ±1 and ±2 for the case that two components of the magnetic field are finite. Finally, we also calculate the triplon Hall effect arising at finite temperatures.

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  • Received 10 March 2017

DOI:https://doi.org/10.1103/PhysRevB.95.195137

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

M. Malki1,* and K. P. Schmidt2,†

  • 1Lehrstuhl für Theoretische Physik I, Otto-Hahn-Strasse 4, TU Dortmund, D-44221 Dortmund, Germany
  • 2Institut für Theoretische Physik, Universität Erlangen-Nürnberg, Staudtstraße 7, 91058 Erlangen, Germany

  • *maik.malki@tu-dortmund.de
  • kai.phillip.schmidt@fau.de

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Issue

Vol. 95, Iss. 19 — 15 May 2017

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