SciPost Physics

SciPost Phys. 14, 139 (2023) · published 1 June 2023

• doi: 10.21468/SciPostPhys.14.6.139
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Abstract

Motivated by recent experiments on Cs$_2$Cu$_3$SnF$_{12}$ and YCu$_{3}$(OH)$_{6}$Cl$_{3}$, we consider the ${S=1/2}$ Heisenberg model on the kagome lattice with nearest-neighbor super-exchange $J$ and (out-of-plane) Dzyaloshinskii-Moriya interaction $J_D$, which favors (in-plane) ${{\bf Q}=(0,0)}$ magnetic order. By using both variational Monte Carlo and tensor-network approaches, we show that the ground state develops a finite magnetization for $J_D/J \gtrsim 0.03 \mathrm{-} 0.04$; instead, for smaller values of the Dzyaloshinskii-Moriya interaction, the ground state has no magnetic order and, according to the fermionic wave function, develops a gap in the spinon spectrum, which vanishes for $J_D \to 0$. The small value of $J_D/J$ for the onset of magnetic order is particularly relevant for the interpretation of low-temperature behaviors of kagome antiferromagnets, including ZnCu$_{3}$(OH)$_{6}$Cl$_{2}$. For this reason, we assess the spin dynamical structure factor and the corresponding low-energy spectrum, by using the variational Monte Carlo technique. The existence of a continuum of excitations above the magnon modes is observed within the magnetically ordered phase, with a broad peak above the lowest-energy magnons, similarly to what has been detected by inelastic neutron scattering on Cs$_{2}$Cu$_{3}$SnF$_{12}$.

• Naumann et al., An introduction to infinite projected entangled-pair state methods for variational ground state simulations using automatic differentiation
  SciPost Phys. Lect. Notes, 86 (2024) [Crossref]
• Gresista et al., Candidate quantum disordered intermediate phase in the Heisenberg antiferromagnet on the maple-leaf lattice
  Phys. Rev. B 108, L241116 (2023) [Crossref]
• Sonnenschein et al., Candidate quantum spin liquids on the maple-leaf lattice
  Phys. Rev. B 110, 014414 (2024) [Crossref]
• Budaraju et al., Piercing the Dirac spin liquid: From a single monopole to chiral states
  Phys. Rev. B 108, L201116 (2023) [Crossref]
• Kogure et al., A Series Expansion Study for Large Negative Quantum Renormalization of Magnon Spectra in the S = 1/2 Kagome-Lattice Heisenberg Antiferromagnet Cs2Cu3SnF12
  J. Phys. Soc. Jpn. 92, 113703 (2023) [Crossref]
• Gembé et al., Noncoplanar orders and quantum disordered states in maple-leaf antiferromagnets
  Phys. Rev. B 110, 085151 (2024) [Crossref]
• Tanaka et al., One-half magnetization plateau in the spin- 12 fcc lattice antiferromagnet Sr2CoTeO6
  Phys. Rev. B 109, 094414 (2024) [Crossref]
• Chauhan et al., Quantum spin liquids on the diamond lattice
  Phys. Rev. B 108, 134424 (2023) [Crossref]
• He et al., Variational Monte Carlo Study of the 1/9 -Magnetization Plateau in Kagome Antiferromagnets
  Phys. Rev. Lett. 133, 096501 (2024) [Crossref]
• Noculak et al., Classical and quantum phases of the pyrochlore S=12 magnet with Heisenberg and Dzyaloshinskii-Moriya interactions
  Phys. Rev. B 107, 214414 (2023) [Crossref]
• Vörös et al., Dynamical structure factor of the SU(4) algebraic spin liquid on the honeycomb lattice
  Phys. Rev. B 108, 214407 (2023) [Crossref]