Mutually attracting spin waves in the square-lattice quantum antiferromagnet

Abstract

The Heisenberg model for S=1/2 describes the interacting spins of electrons localized on lattice sites due to strong repulsion. It is the simplest strong-coupling model in condensed matter physics with wide-spread applications. Its relevance has been boosted further by the discovery of curate high-temperature superconductors. In leading order, their undoped parent compounds realize the Heisenberg model on square-lattices. Much is known about the model, but mostly at small wave vectors, i.e., for long-range processes, where the physics is governed by spin waves (magnons), the Goldstone bosons of the long-range ordered antiferromagnetic phase. Much less, however, is known for short-range processes, i.e., at large wave vectors. Yet these processes are decisive for understanding high-temperature superconductivity. Recent reports suggest that one has to resort to qualitatively different fractional excitations, spinons. By contrast, we present a comprehensive picture in terms of dressed magnons with strong mutual attraction on short length scales. The resulting spectral signatures agree strikingly with experimental data

substantially extended version, 41 pages, 9 figures submitted to SciPost

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Cited by in corpus (47)

• Spectral signatures of fractionalization in the frustrated Heisenberg model on the square lattice
• Simulating excitation spectra with projected entangled-pair states
• Excitations with projected entangled pair states using the corner transfer matrix method
• Direct observation of the Higgs amplitude mode in a two-dimensional quantum antiferromagnet near the quantum critical point
• Van Hove singularity in the magnon spectrum of the antiferromagnetic quantum honeycomb lattice
• Quantum Dynamics of the Square-Lattice Heisenberg Model
• Spectral properties of the square-lattice antiferromagnetic J1-J2 Heisenberg model: confinement and deconfinement of spinons
• Quantum spin nematic phase in a square-lattice iridate
• Theory of the anomalous spin dynamics of spin-$\frac{1}{2}$ triangular lattice Heisenberg antiferromagnet and its application to Ba${}_3$CoSb${}_2$O${}_9$
• Fractional spin excitations in the infinite-layer cuprate CaCuO${}_2$
• Supermagnonic propagation in two-dimensional antiferromagnets
• High-order series expansion of non-Hermitian quantum spin models
• Schwinger boson theory of ordered magnets
• Spin excitation spectra of the two dimensional $S=1/2$ Heisenberg model with a checkerboard structure
• Bulk and edge dynamics of a 2D Affleck-Kennedy-Lieb-Tasaki model
• Dissipative flow equations
• Generating function for projected entangled-pair states
• Collective excitations in spin-1/2 magnets through bond-operator formalism designed both for paramagnetic and ordered phases
• Novel elementary excitations in spin-1/2 antiferromagnets on the triangular lattice
• High-energy spin waves in the spin-1 square-lattice antiferromagnet La${}_2$NiO${}_4$
• Continuous similarity transformation for critical phenomena: easy-axis antiferromagnetic XXZ model
• Elementary excitations in the ordered phase of spin-1/2 J1-J2 model on square lattice
• Spin dynamics and continuum spectra of the honeycomb J1-J2 antiferromagnetic Heisenberg model
• Efficient flow equations for dissipative systems
• Momentum-resolved time evolution with matrix product states
• Long-range order in the XY model on the honeycomb lattice
• Simplified approach to the magnetic blue shift of Mott gaps
• Quantum melting of long-range ordered quantum antiferromagnets investigated by momentum-space continuous similarity transformations
• Series expansions in closed and open quantum many-body systems with multiple quasiparticle types
• Superconductivity, pair density wave, and Neel order in cuprates
• Quantitative description of long-range order in the anisotropic spin-1/2 Heisenberg antiferromagnet on the square lattice
• Magnon, doublon and quarton excitations in 2D S=1/2 trimerized Heisenberg models
• Magnon Spectra of Cuprates beyond Spin Wave Theory
• Quantitative Determination of the Confinement and Deconfinement of spinons in the anomalous spectra of Antiferromagnets via the Entanglement Entropy
• Staggered-flux state for rectangular-lattice spin 1/2 Heisenberg antiferromagnet
• Theoretical analysis of multi-magnon excitations in resonant inelastic x-ray scattering spectra of two-dimensional antiferromagnets
• Dynamic structure factor of a spin-1/2 Heisenberg chain with long-range interactions
• Interacting triplons in frustrated spin ladders: Binding and decay in BiCu${}_2$PO${}_6$
• Field-Induced Magnon Decay, Magnon Shadows, and Roton-like Excitations in the Honeycomb Antiferromagnet YbBr${}_3$
• High-accuracy evaluation of non-thermal magnetic states beyond spin-wave theory: applications to higher-energy states
• Confined and deconfined spinon excitations in the rectangular-lattice quantum antiferromagnet
• Non-linear spin wave theory in the strong easy-axis limit of the triangular XXZ model
• Quantum decay of magnons in the unfrustrated honeycomb Heisenberg model
• Role of magnon-magnon interaction in optical excitation of coherent two-magnon modes
• Spin dynamics of antiferromagnetically coupled ferromagnetic bilayers -- the case of Cr${}_2$WO${}_6$ and Cr${}_2$MoO${}_6$
• Quantum effects in the magnon spectrum of 2D altermagnets via continuous similarity transformations
• Multimagnon and multispinon $L_3$-edge RIXS spectra of an effective ${\tilde{J}}_1-{\tilde{J}}_2-{\tilde{J}}_3$ square lattice Heisenberg model