SciPost Physics

SciPost Phys. 4, 003 (2018) · published 19 January 2018

• doi: 10.21468/SciPostPhys.4.1.003
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Abstract

In this paper, we explore the relationship between strong spin-orbit coupling and spin liquid physics. We study a very general model on the triangular lattice where spin-orbit coupling leads to the presence of highly anisotropic interactions. We use variational Monte Carlo to study both $U(1)$ quantum spin liquid states and ordered ones, via the Gutzwiller projected fermion construction. We thereby obtain the ground state phase diagram in this phase space. We furthermore consider effects beyond the Gutzwiller wavefunctions for the spinon Fermi surface quantum spin liquid, which are of particular importance when spin-orbit coupling is present.

• Sedrakyan et al., Helical spin liquid in a triangular XXZ magnet from Chern-Simons theory
  Phys. Rev. B 102, 024430 (2020) [Crossref]
• Jiang et al., Spin excitations in the quantum dipolar magnet Yb(BaBO3)3
  Phys. Rev. B 106, 014409 (2022) [Crossref]
• Steinhardt et al., Constraining the parameter space of a quantum spin liquid candidate in applied field with iterative optimization
  Phys. Rev. Research 3, 033050 (2021) [Crossref]
• Bordelon et al., Field-tunable quantum disordered ground state in the triangular-lattice antiferromagnet NaYbO2
  Nat. Phys. 15, 1058 (2019) [Crossref]
• Wu et al., Randomness-induced spin-liquid-like phase in the spin- 12   J1−J2 triangular Heisenberg model
  Phys. Rev. B 99, 085141 (2019) [Crossref]
• Li et al., Spin liquids in geometrically perfect triangular antiferromagnets
  J. Phys.: Condens. Matter 32, 224004 (2020) [Crossref]
• Sala et al., Structure and magnetism of the triangular lattice material YbBO3
  J. Phys.: Condens. Matter 35, 395804 (2023) [Crossref]
• Li et al., Double-peak specific heat and spin freezing in the spin-2 triangular lattice antiferromagnet FeAl2Se4
  Phys. Rev. B 99, 054421 (2019) [Crossref]
• Bordelon et al., Magnetic properties and signatures of moment ordering in the triangular lattice antiferromagnet KCeO2
  Phys. Rev. B 104, 094421 (2021) [Crossref]
• Baenitz et al., NaYbS2 : A planar spin- 12 triangular-lattice magnet and putative spin liquid
  Phys. Rev. B 98, 220409 (2018) [Crossref]
• Teng et al., Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
  Phys. Rev. Research 2, 033283 (2020) [Crossref]
• Zhu et al., Topography of Spin Liquids on a Triangular Lattice
  Phys. Rev. Lett. 120, 207203 (2018) [Crossref]
• Steinhardt et al., Phase diagram of YbZnGaO4 in applied magnetic field
  npj Quantum Mater. 6, 78 (2021) [Crossref]
• Rao et al., Cyclotron resonance inside the Mott gap: A fingerprint of emergent neutral fermions
  Phys. Rev. B 100, 155150 (2019) [Crossref]
• Liu et al., Competing orders in pyrochlore magnets from a Z2 spin liquid perspective
  Phys. Rev. B 100, 075125 (2019) [Crossref]
• Chen et al., Impurity-induced resonant spinon zero modes in Dirac quantum spin liquids
  Phys. Rev. Research 2, 033466 (2020) [Crossref]
• Inosov, Quantum magnetism in minerals
  Advances in Physics 67, 149 (2018) [Crossref]
• Balents et al., Collective spinon spin wave in a magnetized U(1) spin liquid
  Phys. Rev. B 101, 020401 (2020) [Crossref]
• Bastien et al., Long-range magnetic order in the ${\tilde S}=1/2$ triangular lattice antiferromagnet KCeS$_2$
  SciPost Phys. 9, 041 (2020) [Crossref]
• Gong et al., Chiral spin liquid with spinon Fermi surfaces in the spin- 12 triangular Heisenberg model
  Phys. Rev. B 100, 241111 (2019) [Crossref]
• Ferrari et al., Effects of spin-phonon coupling in frustrated Heisenberg models
  Phys. Rev. B 104, 035126 (2021) [Crossref]
• Liu et al., Selective measurements of intertwined multipolar orders: Non-Kramers doublets on a triangular lattice
  Phys. Rev. B 98, 045119 (2018) [Crossref]
• Pratt et al., Spin dynamics, entanglement, and the nature of the spin liquid state in YbZnGaO4
  Phys. Rev. B 106, L060401 (2022) [Crossref]
• Oliviero et al., Noncoplanar magnetic orders and gapless chiral spin liquid on the kagome lattice with staggered scalar spin chirality
  SciPost Phys. 13, 050 (2022) [Crossref]
• Iizuka et al.,
  , (2020) [Crossref]
• Glittum et al., Arc-shaped structure factor in the J1−J2−J3 classical Heisenberg model on the triangular lattice
  Phys. Rev. B 104, 184427 (2021) [Crossref]
• Ding et al., Gapless spin-liquid state in the structurally disorder-free triangular antiferromagnet NaYbO2
  Phys. Rev. B 100, 144432 (2019) [Crossref]
• Arh et al., The Ising triangular-lattice antiferromagnet neodymium heptatantalate as a quantum spin liquid candidate
  Nat. Mater. 21, 416 (2022) [Crossref]
• Voma et al., Electronic structure and magnetic properties of the effective spin Jeff=12 two-dimensional triangular lattice K3Yb(VO4)2
  Phys. Rev. B 104, 144411 (2021) [Crossref]
• Natori et al., SU(4)-symmetric spin-orbital liquids on the hyperhoneycomb lattice
  Phys. Rev. B 98, 195113 (2018) [Crossref]
• Ferreira et al., Frustrated Magnetism in Triangular Lattice TlYbS2 Crystals Grown via Molten Flux
  Front. Chem. 8, 127 (2020) [Crossref]
• Ferrari et al., Dynamical Structure Factor of the J1−J2 Heisenberg Model on the Triangular Lattice: Magnons, Spinons, and Gauge Fields
  Phys. Rev. X 9, 031026 (2019) [Crossref]
• Scheie et al., Crystal-field Hamiltonian and anisotropy in KErSe2 and CsErSe2
  Phys. Rev. B 101, 144432 (2020) [Crossref]
• Ye et al., Topological characterization of Lieb-Schultz-Mattis constraints and applications to symmetry-enriched quantum criticality
  SciPost Phys. 13, 066 (2022) [Crossref]
• Maksimov et al., Anisotropic-Exchange Magnets on a Triangular Lattice: Spin Waves, Accidental Degeneracies, and Dual Spin Liquids
  Phys. Rev. X 9, 021017 (2019) [Crossref]
• Wu et al., Exact diagonalization study of the anisotropic Heisenberg model related to YbMgGaO4
  Phys. Rev. B 103, 205122 (2021) [Crossref]
• Wang et al., Comprehensive study of the global phase diagram of the J−K−Γ model on a triangular lattice
  Phys. Rev. B 103, 054410 (2021) [Crossref]
• Ahn et al., Emergent Quantum Phenomena of a Noncentrosymmetric Charge Density Wave in 1T -Transition Metal Dichalcogenides
  Phys. Rev. Lett. 132, 226401 (2024) [Crossref]
• Iaconis, Quantum State Complexity in Computationally Tractable Quantum Circuits
  PRX Quantum 2, 010329 (2021) [Crossref]
• Schmidt et al., Yb delafossites: Unique exchange frustration of4fspin-12moments on a perfect triangular lattice
  Phys. Rev. B 103, 214445 (2021) [Crossref]
• Bader et al., Deformation of the triangular spin- 12 lattice in Na2SrCo(PO4)2
  Phys. Rev. B 106, 054415 (2022) [Crossref]
• Yahne et al., Pseudospin versus magnetic dipole moment ordering in the isosceles triangular lattice material K3Er(VO4)2
  Phys. Rev. B 102, 104423 (2020) [Crossref]
• Gallegos et al., Magnon interactions in the quantum paramagnetic phase of CoNb2O6
  Phys. Rev. B 109, 014424 (2024) [Crossref]
• Reuß et al., Spin dynamics of S=2 triangular and honeycomb lattices
  Phys. Rev. B 101, 184414 (2020) [Crossref]