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Dynamical signatures of symmetry-broken and liquid phases in an S = 12 Heisenberg antiferromagnet on the triangular lattice

Markus Drescher1,*, Laurens Vanderstraeten2, Roderich Moessner3, and Frank Pollmann1,4

  • 1Department of Physics, Technische Universität München, 85748 Garching, Germany
  • 2Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, 1050 Brussels, Belgium
  • 3Max-Planck-Institut für Physik komplexer Systeme, 01187 Dresden, Germany
  • 4Munich Center for Quantum Science and Technology (MCQST), 80799 Munich, Germany

  • *markus.drescher@tum.de
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Phys. Rev. B 108, L220401 – Published 5 December, 2023

DOI: https://doi.org/10.1103/PhysRevB.108.L220401

Abstract

We present the dynamical spin structure factor of the antiferromagnetic spin-12 J1−J2 Heisenberg model on a triangular lattice obtained from large-scale matrix-product state simulations. The high frustration due to the combination of antiferromagnetic nearest- and next-nearest-neighbor interactions yields a rich phase diagram. We resolve the low-energy excitations both in the 120∘ ordered phase and in the putative spin-liquid phase at J2/J1=0.125. In the ordered phase, we observe an avoided decay of the lowest magnon branch, demonstrating the robustness of this phenomenon in the presence of gapless excitations. Our findings in the spin-liquid phase chime with the field-theoretical predictions for a gapless Dirac spin liquid, in particular the picture of low-lying monopole excitations at the corners of the Brillouin zone. We comment on possible practical difficulties of distinguishing proximate liquid and solid phases based on the dynamical structure factor.

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Outline

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Phys. Rev. B 108, L220401– Published 5 December, 2023
  • Received 17 September 2022
  • Revised 24 July 2023
  • Accepted 2 November 2023
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