The antiferromagnetic spin-1/2 Heisenberg model on the square lattice in a magnetic field

Abstract

We study the field dependence of the antiferromagnetic spin-1/2 Heisenberg model on the square lattice by means of exact diagonalizations. In a first part, we calculate the spin-wave velocity, the spin-stiffness, and the magnetic susceptibility and thus determine the microscopic parameters of the low-energy long-wavelength description. In a second part, we present a comprehensive study of dynamical spin correlation functions for magnetic fields ranging from zero up to saturation. We find that at low fields, magnons are well defined in the whole Brillouin zone, but the dispersion is substantially modified by quantum fluctuations compared to the classical spectrum. At higher fields, decay channels open and magnons become unstable with respect to multi-magnon scattering. Our results directly apply to inelastic neutron scattering experiments.

arXiv comment15 pages, 15 figures

References in corpus (28)

• Correlated Electrons in High Temperature Superconductors
• Stochastic series expansion method with operator-loop update
• The ALPS project release 1.3: open source software for strongly correlated systems
• Spin waves and electronic interactions in La2CuO4
• Finite-Size Scaling of the Ground State Parameters of the Two-Dimensional Heisenberg Model
• Generalized Directed Loop Method for Quantum Monte Carlo Simulations
• Finite size and temperature effects in the AF Heisenberg model
• Magnetic order and disorder in the frustrated quantum Heisenberg antiferromagnet in two dimensions
• Finite Temperature Properties of Quantum Antiferromagnets in a Uniform Magnetic Field in One and Two Dimensions
• Quantum dynamics and entanglement of spins on a square lattice
• New two dimensional S=1/2 Heisenberg antiferromagnets: synthesis, structure and magnetic properties
• Quantum magnetism in two dimensions: From semi-classical Néel order to magnetic disorder
• High-energy magnon dispersion and multi-magnon continuum in the two-dimensional Heisenberg antiferromagnet
• Anomalous Excitation Spectra of Frustrated Quantum Antiferromagnets
• Magnon Decay in Noncollinear Quantum Antiferromagnets
• Flat spin wave dispersion in a triangular antiferromagnet
• Instability of antiferromagnetic magnons in strong fields
• Direct Calculation of the Spin Stiffness in the $J_1$--$J_2$ Heisenberg Antiferromagnet
• A Comparative Study of the Magnetization Process of Two-Dimensional Antiferromagnets
• Instantaneous Spin Correlations in La2CuO4
• Further Series Studies of the Spin-1/2 Heisenberg Antiferromagnet at T=0: Magnon Dispersion and Structure Factors
• Spin Dependence of Correlations in Two-Dimensional Quantum Heisenberg Antiferromagnets
• Magnetic order in the S=1/2 two-dimensional molecular antiferromagnet, copper pyrazine perchlorate Cu(Pz)_2(ClO_4)_2
• Ground state parameters, finite-size scaling, and low-temperature properties of the two-dimensional S=1/2 XY model
• The two-dimensional quantum Heisenberg antiferromagnet: effective Hamiltonian approach to the thermodynamics
• Quantum Heisenberg antiferromagnets in a uniform magnetic field: nonanalytic magnetic field dependence of the magnon spectrum
• Numerical evidence for unstable magnons at high fields in the Heisenberg antiferromagnet on the square lattice
• The two dimensional antiferromagnetic Heisenberg model in the presence of an external field

Cited by in corpus (48)

• Studying Two Dimensional Systems With the Density Matrix Renormalization Group
• Spontaneous Magnon Decays
• Fractional excitations in the square-lattice quantum antiferromagnet
• Gradient methods for variational optimization of projected entangled-pair states
• Simulating excitation spectra with projected entangled-pair states
• Van Hove singularity in the magnon spectrum of the antiferromagnetic quantum honeycomb lattice
• Instability of Magnons in Two-dimensional Antiferromagnet at High Magnetic Fields
• Quantum Dynamics of the Square-Lattice Heisenberg Model
• Field-induced decay dynamics in square-lattice antiferromagnet
• Fermionic two-loop functional renormalization group for correlated fermions: Method and application to the attractive Hubbard model
• Quantum Phase Transition, O(3) Universality Class and Phase Diagram of Spin-1/2 Heisenberg Antiferromagnet on Distorted Honeycomb Lattice: A Tensor Renormalization Group Study
• Field-induced dynamical properties of the $XXZ$ model on a honeycomb lattice
• "Quasi-particle breakdown" in the quasi-one-dimensional Ising ferromagnet CoNb${}_2$O${}_6$
• Field induced spontaneous quasiparticle decay and renormalization of quasiparticle dispersion in a quantum antiferromagnet
• Combined unitary and symmetric group approach applied to low-dimensional spin systems
• Effective interactions and fluctuation effects in spin-singlet superfluids
• Quantum Damping of Skyrmion Crystal Eigenmodes due to Spontaneous Quasiparticle Decay
• Quantum Spin Dynamics Due to Strong Kitaev Interactions in the Triangular-Lattice Antiferromagnet CsCeSe${}_2$
• Magnetic properties of quasi-two-dimensional $S$ = 1/2 Heisenberg antiferromagnet with distorted square lattice
• Topological Effects on Quantum Phase Slips in Superfluid Spin Transport
• Exact diagonalization study of the Hubbard-parametrized four-spin ring exchange model on a square lattice
• Dynamical structure factor of quasi-2D antiferromagnet in high fields
• Generating function for projected entangled-pair states
• Staggered moment dependence on field-tuned quantum fluctuations in 2D frustrated antiferromagnets
• Novel elementary excitations in spin-1/2 antiferromagnets on the triangular lattice
• From the open Heisenberg model to the Landau-Lifshitz equation
• High-energy spin waves in the spin-1 square-lattice antiferromagnet La${}_2$NiO${}_4$
• Spontaneous magnon decays in planar ferromagnet
• BCS-BEC Crossover in the Two-Dimensional Attractive Hubbard Model: Variational Cluster Approach
• Magnetic Catalysis in Antiferromagnetic Films
• Tetragonal mixed system $C{s}_{2}CuC{l}_{4-x}B{r}_x$ complemented by the tetragonal phase realisation of $C{s}_{2}CuC{l}_4$
• Multiple magnon modes in spin-1/2 Heisenberg antiferromagnet on simple square lattice in strong magnetic field
• Unusual dynamics of spin-1/2 antiferromagnets on the triangular lattice in magnetic field
• Tunable rotons in square lattice antiferromagnets under strong magnetic fields
• Quantum entanglement, local indicators and effect of external fields in the Kugel-Khomskii model
• Magnon Spectra of Cuprates beyond Spin Wave Theory
• Spectral characteristics of the antiferromagnetic spin-1/2 Heisenberg model on the square lattice in a magnetic field
• Magnetization Plateaus in the Two-dimensional S = 1/2 Heisenberg Model with a 3$\times$3 Checkerboard Structure
• Temperature dependence of the $(\pi ,0)$ anomaly in the excitation spectrum of the 2D quantum Heisenberg antiferromagnet
• Computational scheme for the spin-1/2 square lattice Heisenberg antiferromagnet based on an octapartite description of the square lattice
• Solving Fermi-Hubbard-type Models by Tensor Representations of Backflow Corrections
• Field-Induced Magnon Decay, Magnon Shadows, and Roton-like Excitations in the Honeycomb Antiferromagnet YbBr${}_3$
• Improving neural network performance for solving quantum sign structure
• Dynamic structure factor from real time evolution and exact correction vectors with matrix product states
• Square-Lattice Antiferromagnet Subjected to a Magnetic Field Aligned with the Order Parameter
• Switching magnetization of quantum antiferromagnets: Schwinger boson mean-field theory compared to exact diagonalization
• Non-NP-Hardness of Translationally-Invariant Spin-Model Problems
• Antiferromagnetic magnons and local anisotropy: dynamical mean-field study