Dynamical Signatures of Symmetry Broken and Liquid Phases in an $S=1/2$ Heisenberg Antiferromagnet on the Triangular Lattice

Abstract

We present the dynamical spin structure factor of the antiferromagnetic spin-$\frac{1}{2}$ $J_1-J_2$ 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-to-nearest neighbour interactions yields a rich phase diagram. We resolve the low-energy excitations both in the $120^{\circ }$-ordered phase and in the putative spin liquid phase at $J_2/J_1=0.125$. 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.

References in corpus (67)

• Anyons in an exactly solved model and beyond
• The density-matrix renormalization group in the age of matrix product states
• Quantum Spin Liquids
• Quantum Orders and Symmetric Spin Liquids
• Kitaev quantum spin liquid - concept and materialization
• Time-evolution methods for matrix-product states
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• A Field Guide to Spin Liquids
• Long range Neel order in the triangular Heisenberg model
• Efficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy)
• Exact spectra, spin susceptibilities and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice
• Studying Two Dimensional Systems With the Density Matrix Renormalization Group
• Gapless spin-liquid ground state in the $S=1/2$ kagome antiferromagnet
• Evidence for a spinon Fermi surface in a triangular lattice quantum spin liquid candidate
• Time-evolving a matrix product state with long-ranged interactions
• Tensor network states and algorithms in the presence of a global U(1) symmetry
• Spin liquid nature in the Heisenberg $J_1$-$J_2$ triangular antiferromagnet
• Tensor network decompositions in the presence of a global symmetry
• Spin liquid phase of the $S=\frac{1}{2}$ $J_1-J_2$ Heisenberg model on the triangular lattice
• Field-tunable quantum disordered ground state in the triangular lattice antiferromagnet NaYbO${}_2$
• Algebraic spin liquid as the mother of many competing orders
• Variational optimization algorithms for uniform matrix product states
• Spin-waves in triangular lattice antiferromagnet: decays, spectrum renormalization, and singularities
• Signatures of Dirac cones in a DMRG study of the Kagome Heisenberg model
• Dirac, Anderson, and Goldstone on the Kagome
• Competing Spin Liquid States in the Spin-$1/2$ Heisenberg Model On Triangular Lattice
• Tangent-space methods for uniform matrix product states
• Imaging spinon density modulations in a 2D quantum spin liquid
• Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
• Topography of Spin Liquids on a Triangular Lattice
• Dirac Spin Liquid on the Spin-1/2 Triangular Heisenberg Antiferromagnet
• Excitation spectra of the spin-1/2 triangular-lattice Heisenberg antiferromagnet
• Dynamics of Fractionalization in Quantum Spin Liquids
• Dynamics of the Kitaev-Heisenberg Model
• Variational matrix product ansatz for dispersion relations
• Gapless spin-liquid phase in an extended spin 1/2 triangular Heisenberg model
• Dynamical structure factor of triangular-lattice antiferromagnet
• Unifying Description of Competing Orders in Two Dimensional Quantum Magnets
• Anomalous Excitation Spectra of Frustrated Quantum Antiferromagnets
• Quantum spin liquid ground state in the disorder free triangular lattice NaYbS${}_2$
• Spinon Fermi surface spin liquid in a triangular lattice antiferromagnet NaYbSe${}_2$
• Magnon Decay in Noncollinear Quantum Antiferromagnets
• Flat spin wave dispersion in a triangular antiferromagnet
• Dynamical structure factor of the $J_1-J_2$ Heisenberg model on the triangular lattice: magnons, spinons, and gauge fields
• Witnessing quantum criticality and entanglement in the triangular antiferromagnet KYbSe${}_2$
• Spinon confinement in a quasi one dimensional anisotropic Heisenberg magnet
• Spectral signatures of fractionalization in the frustrated Heisenberg model on the square lattice
• Strong quantum interactions prevent quasiparticle decay
• Dynamical structure factor of the triangular antiferromagnet: the Schwinger boson theory beyond the mean field approach
• Symmetry fractionalization in the topological phase of the spin-$\frac{1}{2}$ $J_1$-$J_2$ triangular Heisenberg model
• Fractionalized excitations in the partially magnetized spin liquid candidate YbMgGaO4
• From spinon band topology to the symmetry quantum numbers of monopoles in Dirac spin liquids
• Chiral spin liquid with spinon Fermi surfaces in spin-$1/2$ triangular Heisenberg model
• Avoided quasiparticle decay and enhanced excitation continuum in the spin-1/2 near-Heisenberg triangular antiferromagnet Ba3CoSb2O9
• Spin Excitation Spectra of Anisotropic Spin-$1/2$ Triangular Lattice Heisenberg Antiferromagnets
• Quantum Dynamics of the Square-Lattice Heisenberg Model
• Spectral function of the $J_1-J_2$ Heisenberg model on the triangular lattice
• The s=1/2 Heisenberg Antiferromagnet on the Triangular Lattice: Exact Results and Spin-Wave Theory for Finite Cells
• Efficient MPS methods for extracting spectral information on rings and cylinders
• Transition from a Dirac spin liquid to an antiferromagnet: Monopoles in a QED3-Gross-Neveu theory
• Hole Spectral Function of a Chiral Spin Liquid in the Triangular Lattice Hubbard Model
• Finite size Spin Wave theory of the triangular Heisenberg model
• Evidence of Two-Spinon Bound States in the Magnetic Spectrum of Ba${}_3$CoSb${}_2$O${}_9$
• Gapless spin liquids in disguise
• Nature of quantum spin liquids of the S=1/2 Heisenberg antiferromagnet on the triangular lattice: A parallel DMRG study
• Magnetic excitations, phase diagram and order-by-disorder in the extended triangular-lattice Hubbard model
• Spectra of a Gapped Quantum Spin Liquid with a Strong Chiral Excitation on the Triangular Lattice

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• Scalable hybrid quantum Monte Carlo simulation of U(1) gauge field coupled to fermions on GPU
• Keldysh pseudo-fermion functional renormalization group for quantum magnetism
• Quantum decay of magnons in the unfrustrated honeycomb Heisenberg model
• Stability of algebraic spin liquids coupled to quantum phonons
• Topical review: the nature of the ground state and possibility of a quantum spin liquid in 1T metal dichalcogenides
• Unconventional Spin Dynamics and Supersolid Excitations in the Triangular-Lattice XXZ Model
• Optimized Gutzwiller Projected States for Doped Antiferromagnets in Fermi-Hubbard Simulators
• Competing states in the $S=1/2$ triangular-lattice $J_1$-$J_2$ Heisenberg model: a dynamical density-matrix renormalization group study
• Single-hole spectral functions in one-dimensional quantum magnets with different ground states