Spectral Function for the S=1 Heisenberg Antiferromagetic Chain

Abstract

We study the spectral function, $S(k,\omega )$ for the spin-1, one dimensional antiferromagnetic chain using a time-dependent density matrix renormalizaton group (DMRG) numerical method. We develop methods for extrapolating the time dependent correlation functions to larger times in order to enhance the frequency resolution. The resulting spectral functions are impressively precise and accurate. Our results confirm many qualitative expectations from non-linear $\sigma$ model methods and test them quantitatively. The critical wave-vector at which the single particle excitation emerges from the 2-particle continuum is estimated to be $0.23\pi -0.24\pi$.

12 pages, 19 figs

References in corpus (14)

• The density-matrix renormalization group
• Efficient classical simulation of slightly entangled quantum computations
• Efficient simulation of one-dimensional quantum many-body systems
• Real time evolution using the density matrix renormalization group
• Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
• New Trends in Density Matrix Renormalization
• Dynamical Correlation Functions using the Density Matrix Renormalization Group
• Density matrix algorithm for the calculation of dynamical properties of low dimensional systems
• Time-dependent density-matrix renormalization group: A systematic method for the study of quantum many-body systems out-of-equilibrium
• Large-Scale Numerical Evidence for Bose Condensation in the S=1 Antiferromagnetic Chain in a Strong Field
• Exact edge singularities and dynamical correlations in spin-1/2 chains
• Optimized Forest-Ruth- and Suzuki-like algorithms for integration of motion in many-body systems
• On the 3-particle scattering continuum in quasi one dimensional integer spin Heisenberg magnets
• The Three-Magnon Contribution to the Spin Correlation Function in Integer-Spin Antiferromagnetic Chains

Cited by in corpus (132)

• The density-matrix renormalization group in the age of matrix product states
• Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Post-Matrix Product State Methods: To tangent space and beyond
• Spectral functions in one-dimensional quantum systems at T>0
• Multispinon continua at zero and finite temperature in a near-ideal Heisenberg chain
• Dynamics of the Kitaev-Heisenberg Model
• Variational matrix product ansatz for dispersion relations
• Statics and dynamics of weakly coupled antiferromagnetic spin-1/2 ladders in a magnetic field
• Chebyshev matrix product state approach for spectral functions
• Solving nonequilibrium dynamical mean-field theory using matrix product states
• Quantum quenches in the anisotropic spin-1/2 Heisenberg chain: different approaches to many-body dynamics far from equilibrium
• Spectral function of spinless fermions on a one-dimensional lattice
• Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
• Dynamical and Topological Properties of the Kitaev Model in a [111] Magnetic Field
• Chebyshev Matrix Product State Impurity Solver for the Dynamical Mean-Field Theory
• Reducing the numerical effort of finite-temperature density matrix renormalization group transport calculations
• Spectral Functions with the Density Matrix Renormalization Group: Krylov-space Approach for Correction Vectors
• Infinite boundary conditions for matrix product state calculations
• Fork Tensor Product States - Efficient Three Orbital Real Time DMFT Solver
• Chebyshev expansion for Impurity Models using Matrix Product States
• Efficient DMFT impurity solver using real-time dynamics with Matrix Product States
• Strong quantum interactions prevent quasiparticle decay
• Precise evaluation of thermal response functions by optimized density matrix renormalization group schemes
• Imaginary-time matrix product state impurity solver for dynamical mean-field theory
• From fractionally charged solitons to Majorana bound states in a one-dimensional interacting model
• Spectral functions and time evolution from the Chebyshev recursion
• Quenching the Haldane gap in spin-1 Heisenberg antiferromagnets
• Spin-charge separation in one-dimensional fermion systems beyond the Luttinger liquid theory
• Field Induced Magnetic Ordering and Single-ion Anisotropy in the Quasi-1D Haldane Chain Compound SrNi2V2O8: A Single Crystal investigation
• Bound states and E_8 symmetry effects in perturbed quantum Ising chains
• Connecting global and local energy distributions in quantum spin models on a lattice
• $E_8$ Spectra of Quasi-one-dimensional Antiferromagnet BaCo${}_2$V${}_2$O${}_8$ under Transverse Field
• Analytic response theory for the density matrix renormalization group
• Characterizing the Haldane phase in quasi-one-dimensional spin-1 Heisenberg antiferromagnets
• Scaling of electrical and thermal conductivities in an almost integrable chain
• From confined spinons to emergent fermions: Observation of elementary magnetic excitations in a transverse-field Ising chain
• Quantum Dynamics of the Square-Lattice Heisenberg Model
• Glide symmetry breaking and Ising criticality in the quasi-1D magnet CoNb${}_2$O${}_6$
• Comparative density-matrix renormalization group study of symmetry-protected topological phases in spin-1 chain and Bose-Hubbard models
• Efficient low temperature simulations for fermionic reservoirs with the hierarchical equations of motion method: Application to the Anderson impurity model
• Numerical evaluation of Greens functions based on the Chebyshev expansion
• A matrix product state based algorithm for determining dispersion relations of quantum spin chains with periodic boundary conditions
• Finite-temperature density-matrix renormalization group method for electron-phonon systems: Thermodynamics and Holstein-polaron spectral functions
• Quantum Monte Carlo solution of the dynamical mean field equations in real time
• Charge dynamics in half-filled Hubbard chains with finite on-site interaction
• Dynamical Signatures of Symmetry Broken and Liquid Phases in an $S=1/2$ Heisenberg Antiferromagnet on the Triangular Lattice
• Dynamical signatures of quasiparticle interactions in quantum spin chains
• Hole Spectral Function of a Chiral Spin Liquid in the Triangular Lattice Hubbard Model
• Efficient mapping for Anderson impurity problems with matrix product states
• S matrix from matrix product states
• Variational methods for contracting projected entangled-pair states
• One hole in the two-leg t-J ladder and adiabatic continuity to the non-interacting limit
• Spectral function of the 2D Hubbard model: a density matrix renormalization group plus cluster perturbation theory study
• Computing Resonant Inelastic X-Ray Scattering Spectra Using The Density Matrix Renormalization Group Method
• Quadrupolar magnetic excitations in an isotropic spin-1 antiferromagnet
• Semi-classical simulation of spin-1 magnets
• Spectral properties of a partially spin-polarized one-dimensional Hubbard/Luttinger superfluid
• Consequences of critical interchain couplings and anisotropy on a Haldane chain
• Fractional and composite excitations of antiferromagnetic quantum spin trimer chains
• Dynamical Functions of a 1D Correlated Quantum Liquid
• Real-time dynamics in the one-dimensional Hubbard model
• Dynamical Mean-Field Theory on the Real-Frequency Axis: p-d Hybridizations and Atomic Physics in SrMnO${}_3$
• Spectral response of Josephson junctions with low-energy quasiparticles
• Finite-Temperature Dynamics and Thermal Intraband Magnon Scattering in Haldane Spin-One Chains
• Spin fluctuations in the 0.7-anomaly in quantum point contacts
• Generating Function for Tensor Network Diagrammatic Summation
• Finite-temperature optical conductivity with density-matrix renormalization group methods for the Holstein polaron and bipolaron with dispersive phonons
• Magnetic excitations in the S = 1/2 antiferromagnetic-ferromagnetic chain compound BaCu2V2O8 at zero and finite temperature
• Finite-temperature dynamic structure factor of the spin-1 XXZ chain with single-ion anisotropy
• A Near-Ideal Molecule-Based Haldane Spin-Chain
• High order magnon bound states in the quasi-one-dimensional antiferromagnet $\alpha$-NaMnO${}_2$
• Quantum sine-Gordon dynamics in coupled spin chains
• Two-dimensional coherent spectrum of interacting spinons from matrix-product states
• NMR relaxation in the spin-1 Heisenberg chain
• Dynamic structure factor of the spin-1/2 XXZ chain in a transverse field
• Symmetric Minimally Entangled Typical Thermal States
• Density-matrix renormalization group study of optical conductivity of the Mott insulator for two-dimensional clusters
• Shedding Light on Microscopic Details: 2D Spectroscopy of 1D Quantum Ising Magnets
• Matrix product state recursion methods for strongly correlated quantum systems
• Divergent nonlinear response from quasiparticle interactions
• Macroscopic quantum state in a semiconductor device
• Multi-triplet bound states and finite-temperature dynamics in highly frustrated quantum spin ladders
• Low-energy physics of isotropic spin-1 chains in the critical and Haldane phases
• Low-energy magnetic excitations in the quasi-one-dimensional spin-1 chain compound SrNi2V2O8
• Finite-temperature photoemission in the extended Falicov-Kimball model: a case study for Ta${}_2$NiSe${}_5$
• Root-N Krylov-space correction-vectors for spectral functions with the density matrix renormalization group
• Interaction effects in a microscopic quantum wire model with strong spin-orbit interaction
• Real-time Impurity Solver Using Grassmann Time-Evolving Matrix Product Operators
• Dynamical Spectral Response of Fractonic Quantum Matter
• Determination of Boundary Scattering, Intermagnon Scattering, and the Haldane Gap in Heisenberg Chains
• Chiral polaron formation on the edge of topological quantum matter
• Dynamical spin excitations of topological Haldane gapped phase in the $S=1$ Heisenberg antiferromagnetic chain with single-ion anisotropy
• The square-lattice quantum liquid of charge c fermions and spin-neutral two-spinon s1 fermions
• Quasi-particle interactions in frustrated Heisenberg chains
• Blind deconvolution of density-matrix renormalization-group spectra
• Spin dynamics of the anisotropic spin-1 antiferromagnetic chain at finite magnetic fields
• Numerical Computation of Dynamically Important Excited States of Many-Body Systems
• Dynamical correlation functions from complex time evolution
• Transition to the Haldane phase driven by electron-electron correlations
• Infinite boundary conditions for response functions and limit cycles in iDMRG, demonstrated for bilinear-biquadratic spin-1 chains
• Single-hole spectra of Kitaev spin liquids: from dynamical Nagaoka ferromagnetism to spin-hole fractionalization
• Dynamical signatures of the one-dimensional deconfined quantum critical point
• Momentum-resolved time evolution with matrix product states
• Single-ion anisotropy in Haldane chains and form factor of the O(3) nonlinear sigma model
• Hydrodynamics of interacting spinons in the magnetized spin-$1/2$ chain with the uniform Dzyaloshinskii-Moriya interaction
• Dynamical simulations of carotenoid photoexcited states using density matrix renormalization group techniques
• Quantum liquid with strong orbital fluctuations: the case of a pyroxene family
• Spin fluctuations after quantum quenches in the S=1 Haldane chain: numerical validation of the semi-semiclassical theory
• Asymptotic Freedom and Large Spin Antiferromagnetic Chains
• Bound states and deconfined spinons in the dynamical structure factor of the $J_1-J_2$ spin-1 chain
• State Space Geometry of the Spin-1 Antiferromagnetic Heisenberg Chain
• Phase diagram of spin-$1$ chains with Dzyaloshinskii-Moriya interaction
• Exotic Ising dynamics in a Bose-Hubbard model
• Dynamic crystallization in a quantum Ising chain
• Fingerprints of supersymmetric spin and charge dynamics observed by inelastic neutron scattering
• Dynamical properties of the Haldane chain with bond disorder
• Detecting Confined and Deconfined Spinons in Dynamical Quantum Simulations
• Efficient and systematic calculation of arbitrary observables for the matrix product state excitation ansatz
• Emergent random matrix universality in quantum operator dynamics
• Spectroscopy and complex-time correlations using minimally entangled typical thermal states
• Dynamic structure factor from real time evolution and exact correction vectors with matrix product states
• Spin Seebeck effect of interacting spinons
• Scaling up the transcorrelated density matrix renormalization group
• Exploring kinetically induced bound states in triangular lattices with ultracold atoms: spectroscopic approach
• Summing Real Time Feynman Paths of Lattice Polaron with Matrix Product States
• Excitations and dynamical structure factor of $J_1-J_2$ spin-$3/2$ and spin-$5/2$ Heisenberg spin chains
• Dynamic response of spin-2 bosons in one-dimensional optical lattices
• Confinement, deconfinement, and bound states in the spin-$1$ and spin-$3/2$ generalizations of the Majumdar--Ghosh chain
• Spin order, spin excitations, and RIXS spectra of spin-1/2 tetramer chains
• Emergent quasi-particles of spin-1 trimer chain
• Long-time divergences in the nonlinear response of gapped one-dimensional many-particle systems