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.
%0 Journal Article
%1 PhysRevB.108.L220401
%A Drescher, Markus
%A Vanderstraeten, Laurens
%A Moessner, Roderich
%A Pollmann, Frank
%D 2023
%I American Physical Society
%J Phys. Rev. B
%K b
%N 22
%P L220401
%R 10.1103/PhysRevB.108.L220401
%T Dynamical signatures of symmetry-broken and liquid phases in an S = $\frac12$ Heisenberg antiferromagnet on the triangular lattice
%U https://link.aps.org/doi/10.1103/PhysRevB.108.L220401
%V 108
%X 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.
@article{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.},
added-at = {2024-02-05T17:09:54.000+0100},
author = {Drescher, Markus and Vanderstraeten, Laurens and Moessner, Roderich and Pollmann, Frank},
biburl = {https://www.bibsonomy.org/bibtex/2b87c36b5ac7a938e5ddd9a909403d92d/ctqmat},
day = 05,
doi = {10.1103/PhysRevB.108.L220401},
interhash = {ec195224bb689c395c19c393677fda1b},
intrahash = {b87c36b5ac7a938e5ddd9a909403d92d},
journal = {Phys. Rev. B},
keywords = {b},
month = {12},
number = 22,
numpages = {6},
pages = {L220401},
publisher = {American Physical Society},
timestamp = {2024-02-05T17:09:54.000+0100},
title = {Dynamical signatures of symmetry-broken and liquid phases in an S = $\mathbf{\frac{1}{2}}$ Heisenberg antiferromagnet on the triangular lattice},
url = {https://link.aps.org/doi/10.1103/PhysRevB.108.L220401},
volume = 108,
year = 2023
}