Elementary excitations in the ordered phase of spin-1/2 J1-J2 model on square lattice

Abstract

We use recently proposed four-spin bond-operator technique (BOT) to discuss spectral properties of frustrated spin-$\frac{1}{2}$ $J_1$--$J_2$ Heisenberg antiferromagnet on square lattice at $J_2<0.4J_1$ (i.e., in the Néel ordered phase). This formalism is convenient for the consideration of low-lying excitations which appear in conventional approaches as multi-magnon bound states (e.g., the Higgs excitation) because separate bosons describe them in BOT. At $J_2=0$, the obtained magnon spectrum describes accurately available experimental data. However, calculated one-magnon spectral weights and the transverse dynamical structure factor (DSF) do not reproduce experimental findings quantitatively around the momentum $\mathbf{k}=(\pi ,0)$. Then, we do not support the conjecture that the continuum of excitations observed experimentally and numerically near $\mathbf{k}=(\pi ,0)$ is of the Higgs-magnon origin. Upon $J_2$ increasing, one-magnon spectral weights decrease and spectra of high-energy spin-0 and spin-1 excitations move down. One of spin-0 quasiparticles becomes long-lived and its spectrum merges with the magnon spectrum in the most part of the Brillouin zone at $J_2\approx 0.3J_1$. We predict that the Higgs excitation and another spin-0 quasiparticle become long-lived around $\mathbf{k}=(\pi /2,\pi /2)$ at $J_2\agt0.3J_1$ and produce sharp anomalies in the longitudinal DSF.

arXiv comment11 pages, 8 figures

References in corpus (45)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Magnetism and its microscopic origin in iron-based high-temperature superconductors
• Intense paramagnon excitations in a large family of high-temperature superconductors
• Spin Liquid Ground State of the Spin-1/2 Square $J_1$-$J_2$ Heisenberg Model
• Spontaneous Magnon Decays
• Plaquette Ordered Phase and Quantum Phase Diagram in the Spin-1/2 J1-J2 Square Heisenberg Model
• Fractional excitations in the square-lattice quantum antiferromagnet
• Plaquette valence bond solid in the frustrated Heisenberg quantum antiferromagnet on the square lattice
• Direct evidence for a gapless $Z_2$ spin liquid by frustrating Néel antiferromagnetism
• Dimer Order with Striped Correlations in the J_1-J_2 Heisenberg Model
• Spontaneous plaquette dimerization in the $J_1-J_2$ Heisenberg model
• Ground-state phases of the spin-1/2 J_1-J_2 Heisenberg antiferromagnet on the square lattice: A high-order coupled cluster treatment
• The spin-1/2 J1-J2 Heisenberg antiferromagnet on the square lattice: Exact diagonalization for N=40 spins
• J_1-J_2 frustrated two-dimensional Heisenberg model: Random phase approximation and functional renormalization group
• New quantum phase transitions in the two-dimensional J1-J2 model
• New valence bond crystal phase of a frustrated spin-1/2 square lattice antiferromagnet
• The J1-J2 model: First order phase transition versus deconfinement of spinons
• Quantum dynamics and entanglement of spins on a square lattice
• Quantum Spin Liquid in Spin 1/2 J1-J2 Heisenberg Model on Square Lattice: Many-Variable Variational Monte Carlo Study Combined with Quantum-Number Projections
• Nearly deconfined spinon excitations in the square-lattice spin-1/2 Heisenberg antiferromagnet
• High-energy magnon dispersion and multi-magnon continuum in the two-dimensional Heisenberg antiferromagnet
• A tensor product state approach to spin-1/2 square $J_1$-$J_2$ antiferromagnetic Heisenberg model: evidence for deconfined quantum criticality
• Flat spin wave dispersion in a triangular antiferromagnet
• Hierarchical mean-field approach to the $J_1$-$J_2$ Heisenberg model on a square lattice
• Spectral signatures of fractionalization in the frustrated Heisenberg model on the square lattice
• Frustrated spin-1/2 square lattice in the layered perovskite PbVO(3)
• Spin-1/2 J1-J2 Heisenberg antiferromagnet on a square lattice: a plaquette renormalized tensor network study
• 1/S-expansion study of spin waves in a two-dimensional Heisenberg antiferromagnet
• Further Series Studies of the Spin-1/2 Heisenberg Antiferromagnet at T=0: Magnon Dispersion and Structure Factors
• The spin-1/2 square-lattice J_1-J_2 model: The spin-gap issue
• Roton minimum as fingerprint of magnon-Higgs scattering in ordered quantum antiferromagnets
• Mutually attracting spin waves in the square-lattice quantum antiferromagnet
• Plaquette valence-bond solid in the square lattice J1-J2 antiferromagnet Heisenberg model: a bond operator approach
• Quantum Dynamics of the Square-Lattice Heisenberg Model
• Spectral properties of the square-lattice antiferromagnetic J1-J2 Heisenberg model: confinement and deconfinement of spinons
• Second-order quantum corrections for the frustrated, spatially anisotropic, spin-1/2 Heisenberg antiferromagnet on a square lattice
• Spectrum of short-wavelength magnons in two-dimensional quantum Heisenberg antiferromagnet on a square lattice: third order expansion in 1/S
• Plaquette Order in the J1-J2-J3 model: a series expansion analysis
• Quantum renormalization of high energy excitations in the 2D Heisenberg antiferromagnet
• Critical dynamics of singlet and triplet excitations in strongly frustrated spin systems
• On the nature of the transition from the spontaneously dimerized to the Neel phase in the two-dimensional J1-J2 model
• Collective excitations in spin-1/2 magnets through bond-operator formalism designed both for paramagnetic and ordered phases
• Low-energy singlet sector in spin-$\frac{1}{2}$ $J_1$--$J_2$ Heisenberg model on square lattice
• Low-energy singlet excitations in spin- 1/2 Heisenberg antiferromagnet on square lattice

Cited by in corpus (9)

• Novel elementary excitations in spin-1/2 antiferromagnets on the triangular lattice
• Unusual dynamics of spin-1/2 antiferromagnets on the triangular lattice in magnetic field
• Multiple magnon modes in spin-1/2 Heisenberg antiferromagnet on simple square lattice in strong magnetic field
• Thermal Hall conductivity of a valence bond solid phase in the square lattice $J_1$-$J_2$ antiferromagnet Heisenberg model with a Dzyaloshinskii-Moriya interaction
• Mean-field theory of interacting triplons in a two-dimensional valence-bond solid: stability and properties of many-triplon states
• Dynamics of spin-1/2 $J_1$-$J_2$ model on the triangular lattice
• Quantum fluctuation effects on the ordered Moments in a two dimensional frustrated ferrimagnet
• Frequency dependence of temporal spin stiffness and short-range magnetic order in the doped two-dimensional Hubbard model
• Elementary excitations in undoped layered cuprates