Quantitative Determination of the Confinement and Deconfinement of spinons in the anomalous spectra of Antiferromagnets via the Entanglement Entropy

Abstract

We introduce an entanglement entropy analysis to quantitatively identify the confinement and deconfinement of the spinons in the spin excitations of quantum magnets. Our proposal is implemented by the parton construction of a honeycomb-lattice antiferromagnet exhibiting high-energy anomalous spectra. To obtain the quasiparticles of spin excitations for entanglement entropy calculations, we develop an effective Hamiltonian using the random phase approximation. We elaborate quantitatively the deconfinement-to-confinement transition of spinons in the anomalous spectra with the increase of the Hubbard interaction, indicating the avoided fractionalization of magnons in the strong interaction regime. Meanwhile, the Higgs mode at the Γ0 point is fractionalized into four degenerate spinon pairs, although it appears as a sharp well-defined peak in the spectra. Our work extends our understanding of the deconfinement of the spinon and its coexistence with the magnon in quantum magnets.

arXiv comment6 pages, 4 figures

References in corpus (43)

• Quantum Orders and Symmetric Spin Liquids
• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Experimental Realization of Spin-1/2 Triangular-Lattice Heisenberg Antiferromagnet
• Disorder-Induced Mimicry of a Spin Liquid in YbMgGaO${}_4$
• Spin-waves in triangular lattice antiferromagnet: decays, spectrum renormalization, and singularities
• Fractional excitations in the square-lattice quantum antiferromagnet
• Magnetization Process and Collective Excitations in the S=1/2 Triangular-Lattice Heisenberg Antiferromagnet Ba3CoSb2O9
• Crystalline Electric Field Randomness in the Triangular Lattice Spin-Liquid YbMgGaO${}_4$
• Spontaneous plaquette dimerization in the $J_1-J_2$ Heisenberg model
• Spiral order by disorder and lattice nematic order in a frustrated Heisenberg antiferromagnet on the honeycomb lattice
• Anomalous High-Energy Spin Excitations in La2CuO4
• Spin-glass ground state in a triangular-lattice compound YbZnGaO${}_4$
• Dynamics of the Kitaev-Heisenberg Model
• Static and Dynamical Properties of the Spin-1/2 Equilateral Triangular-Lattice Antiferromagnet Ba${}_3$CoSb${}_2$O${}_9$
• Quantum dynamics and entanglement of spins on a square lattice
• Dynamical structure factor of triangular-lattice antiferromagnet
• Nearly deconfined spinon excitations in the square-lattice spin-1/2 Heisenberg antiferromagnet
• Schwinger Boson Mean Field Theories of Spin Liquid States on Honeycomb Lattice: Projective Symmetry Group Analysis and Critical Field Theory
• High-energy magnon dispersion and multi-magnon continuum in the two-dimensional Heisenberg antiferromagnet
• Anomalous Excitation Spectra of Frustrated Quantum Antiferromagnets
• The nature of spin excitations in the one-third magnetization plateau phase of Ba${}_3$CoSb${}_2$O${}_9$
• Weak plaquette valence bond order in the $S=1/2$ honeycomb $J_1-J_2$ Heisenberg model
• Dynamical structure factor of the $J_1-J_2$ Heisenberg model on the triangular lattice: magnons, spinons, and gauge fields
• Spectral signatures of fractionalization in the frustrated Heisenberg model on the square lattice
• $Z_2$ spin liquid and chiral antiferromagnetic phase in Hubbard model on the honeycomb lattice: duality between Schwinger-fermion and Schwinger-boson representations
• Spin liquids on a honeycomb lattice: Projective Symmetry Group study of Schwinger fermion mean-field theory
• Nature of Spin Excitations in Two-dimensional Mott Insulators: Undoped Cuprates and Other Materials
• Plaquette valence-bond ordering in J_1-J_2 Heisenberg antiferromagnet on the honeycomb lattice
• The frustrated Heisenberg antiferromagnet on the honeycomb lattice: $J_1$--$J_2$ model
• A Néel-type antiferromagnetic order in the spin 1/2 rare-earth honeycomb YbCl${}_3$
• Mutually attracting spin waves in the square-lattice quantum antiferromagnet
• Van Hove singularity in the magnon spectrum of the antiferromagnetic quantum honeycomb lattice
• Crystal field splitting, local anisotropy, and low energy excitations in the quantum magnet YbCl${}_3$
• Spectral properties of the square-lattice antiferromagnetic J1-J2 Heisenberg model: confinement and deconfinement of spinons
• Confinement and Deconfinement of Spinons in Two Dimensions
• Observation of plaquette fluctuations in the spin-1/2 honeycomb lattice
• Spiral antiferromagnets beyond the spin-wave approximation: frustrated $XY$ and Heisenberg models in the honeycomb lattice
• Fermionic spinon theory of square lattice spin liquids near the Néel state
• Quantum renormalization of high energy excitations in the 2D Heisenberg antiferromagnet
• Theory of the anomalous spin dynamics of spin-$\frac{1}{2}$ triangular lattice Heisenberg antiferromagnet and its application to Ba${}_3$CoSb${}_2$O${}_9$
• Dynamical properties of Néel and valence-bond phases in the $J_1-J_2$ model on the honeycomb lattice
• RVB signatures in the spin dynamics of the square-lattice Heisenberg antiferromagnet
• Fractionalized Spin Excitations in the Edge Ferromagnetic State of Graphene: Signature of the Ferromagnetic Luttinger Liquid

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