Dynamics of the Kitaev-Heisenberg Model

Physical Review Letters
Matthias GohlkeFrank Pollmann

Abstract

We introduce a matrix-product state based method to efficiently obtain dynamical response functions for two-dimensional microscopic Hamiltonians. We apply this method to different phases of the Kitaev-Heisenberg model and identify characteristic dynamical features. In the ordered phases proximate to the spin liquid, we find significant broad high-energy features beyond spin-wave theory, which resemble those of the Kitaev model. This establishes the concept of a proximate spin liquid, which was recently invoked in the context of inelastic neutron scattering experiments on α-RuCl_{3}. Our results provide an example of a natural path for proximate spin liquid features to arise at high energies above a conventionally ordered state, as the diffuse remnants of spin-wave bands intersect to yield a broad peak at the Brillouin zone center.

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Citations

Mar 16, 2018·Reports on Progress in Physics·Matthias Vojta
Jun 11, 2019·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Lukas Janssen, Matthias Vojta
Dec 24, 2018·Physical Review Letters·Jeffrey G RauRoderich Moessner
Sep 8, 2018·Physical Review Letters·Xiao-Yu DongFrank Pollmann
Aug 17, 2020·Physical Review Letters·Tetsuya MinakawaJoji Nasu
Oct 28, 2017·Nature Communications·Stephen M WinterRoser Valentí
Aug 17, 2020·Physical Review Letters·Huimei LiuGiniyat Khaliullin
Dec 15, 2018·Physical Review Letters·Hiroyuki EndoAkira Shimizu
Apr 13, 2021·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Masafumi Udagawa
Jan 16, 2022·Nature Communications·Kyusung HwangEun-Gook Moon

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