Large-Scale Numerical Evidence for Bose Condensation in the S=1 Antiferromagnetic Chain in a Strong Field

Abstract

Using the recently proposed density matrix renormalization group technique we show that the magnons in the S=1 antiferromagnetic Heisenberg chain effectively behaves as bosons that condense at a critical field h_c.

12 pages, REVTEX 3.0, 3 postscript figures appended, UBCTP-93-008

Cited by in corpus (106)

• The density-matrix renormalization group
• Thermodynamic limit of the density matrix renormalization for the spin-1 Heisenberg chain
• Realization of Bose-Einstein condensation of dilute magnons in TlCuCl${}_3$
• Dimerization and Incommensurate Spiral Spin Correlations in the Zigzag Spin Chain: Analogies to the Kondo Lattice
• A class of ansatz wave functions for 1D spin systems and their relation to DMRG
• Resonating Valence Bond Theory of Coupled Heisenberg Chains
• Density matrix algorithm for the calculation of dynamical properties of low dimensional systems
• Finite Temperature Properties of Quantum Antiferromagnets in a Uniform Magnetic Field in One and Two Dimensions
• Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
• Density-matrix renormalization-group method in momentum space
• Density matrix renormalisation group for a quantum spin chain at non-zero temperature
• Variational matrix product ansatz for dispersion relations
• Finite-lattice extrapolations for a Haldane gap antiferromagnet
• Haldane Gap and Hidden Order in the S=2 Antiferromagnetic Quantum Spin Chain
• Low temperature spin diffusion in the one-dimensional quantum $O(3)$ nonlinear $\sigma$-model
• Numerical Study of the $S=1$ Antiferrromagnetic Spin Chain with Bond Alternation
• Elementary Excitations of Heisenberg Ferrimagnetic Spin Chains
• The spectral gap for some spin chains with discrete symmetry breaking
• Thermodynamics of quantum Heisenberg spin chains
• Equal Time Correlations in Haldane Gap Antiferromagnets
• Rigorous results on a first-order phase transition in antiferromagnetic spin-1/2 coupled chains
• Topological phases with long-range interactions
• Probable absence of a quadrupolar spin-nematic phase in the bilinear-biquadratic spin-1 chain
• Numerical renormalization group study of the correlation functions of the antiferromagnetic spin-$\frac{1}{2}$ Heisenberg chain
• Magnetization Process of One-Dimensional Quantum Antiferromagnet: The Product Wavefunction Renormalization Group Approach
• Integrable models and quantum spin ladders: comparison between theory and experiment for the strong coupling ladder compounds
• Cyclic Spin Exchange in Cuprate Spin Ladders
• Dirty-boson physics with magnetic insulators
• Fixed Point of the Finite System DMRG
• Impurities in $s=1$ Heisenberg Antiferromagnets
• The Density Matrix Renormalization Group Method applied to Interaction Round a Face Hamiltonians
• Middle-Field Cusp Singularities in the Magnetization Process of One-Dimensional Quantum Antiferromagnets
• Density matrix renormalisation group study of the correlation function of the bilinear-biquadratic spin-1 chain
• An experimental measurement of the staggered magnetization curve for a Haldane spin chain
• A neutron scattering study of two-magnon states in the quantum magnet copper nitrate
• Phase diagram of the frustrated, spatially anisotropic S=1 antiferromagnet on a square lattice
• Delta-Function Bose Gas Picture of S=1 Antiferromagnetic Quantum Spin Chains Near Critical Fields
• Scattering particles in quantum spin chains
• Structure of end states for a Haldane Spin Chain
• Field-dependent thermal transport in the Haldane chain compound NENP
• Polarized-neutron study of longitudinal Haldane-gap excitations in Nd${}_2$BaNiO${}_5$
• The even-odd effect in short antiferromagnetic Heisenberg chains
• Magnetic ordering, spin waves, and Haldane gap excitations in (Nd_x Y_{1-x})_2 Ba Ni O_5 linear-chain mixed-spin antiferromagnets
• Fractional S^z excitation and its bound state around the 1/3 plateau of the S=1/2 Ising-like zigzag XXZ chain
• Kondo Insulators Modeled by the One Dimensional Anderson Lattice: A Numerical Renormalization Group Study
• Quantum spin chains in a magnetic field
• The properties of Haldane excitations and multi-particle states in the antiferromagnetic spin-1 chain compound CsNiCl
• Spectral gaps of AKLT Hamiltonians using Tensor Network methods
• Efficient MPS methods for extracting spectral information on rings and cylinders
• Impurity state in Haldane gap for S=1 Heisenberg antiferromagnetic chain with bond doping
• The Haldane gap for the S=2 antiferromagnetic Heisenberg chain revisited
• S matrix from matrix product states
• Luttinger liquid behavior in spin chains with a magnetic field
• Diffusive energy transport in the S=1 Haldane chain compound AgVP2S6
• S(k) for Haldane Gap Antiferromagnets: Large-scale Numerical Results vs. Field Theory and Experiment
• High-field phase diagram of the Haldane-gap antiferromagnet $Ni(C_5{H}_{14}{N}_2{)}_2{N}_3(P{F}_6)$
• Quantum critical dynamics of a S = 1/2 antiferromagnetic Heisenberg chain studied by 13C-NMR spectroscopy
• A density matrix renormalisation group algorithm for quantum lattice systems with a large number of states per site
• Frustration-induced quantum phase transitions in a quasi-one-dimensional ferrimagnet: Hard-core boson map and the Ton ks-Girardeau limit
• The phase diagram of magnetic ladders constructed from a composite-spin model
• Field-induced magnetic ordering in the Haldane system PbNi2V2O8
• Spin thermal conductivity of the Haldane chain compound Y2BaNiO5
• Finite Size Scaling for Low Energy Excitations in Integer Heisenberg Spin Chains
• Finite size spectrum, magnon interactions and magnetization of S=1 Heisenberg spin chains
• Heisenberg Spin-One Chain in Staggered Magnetic Field : A Density Matrix Renormalization Group Study
• Density Profiles, Casimir Amplitudes and Critical Exponents in the Two Dimensional Potts Model: A Density Matrix Renormalization Study
• Density-Matrix Renormalization-Group Analysis of Quantum Critical Points: I. Quantum Spin Chains
• Spin-Dynamics of the antiferromagnetic S=1/2-Chain at finite magnetic Fields and intermediate Temperatures
• Magnetically Stabilized Nematic Order I: Three-Dimensional Bipartite Optical Lattices
• Density Matrix Renormalization Group Study of One-Dimensional Acoustic Phonons
• Topology of many-body edge and extended quantum states in an open spin chain: 1/3--plateau, Kosterlitz-Thouless transition, and Luttinger liquid
• Quantum phase transitions in alternating spin-(1/2, 5/2) Heisenberg chains
• Commensurate and incommensurate correlations in Haldane gap antiferromagnets
• Stability of the Haldane phase in anisotropic magnetic ladders
• Magnetic properties of the Haldane-gap material NENB
• The N-Leg spin-S Heisenberg ladders: A DMRG study
• Doping Effects on the two-dimensional Spin Dimer Compound $SrC{u}_2(B{O}_3{)}_2$
• N-leg integer-spin ladders and tubes in commensurate external fields -Nonlinear sigma model approach-
• Fermions in optical lattices near a Feshbach resonance: from band insulator to Mott insulator
• Dispersive Excitations in the One-Dimensional Ionic Hubbard Model
• One-dimensional pair-hopping and attractive Hubbard models: A comparative study
• Universal relation between the dispersion curve and the ground-state correlation length in 1D antiferromagnetic quantum spin systems
• Disordered phase of a two-dimensional Heisenberg Model with S=1
• Haldane Gap of the Three-Box Symmetric $\mathrm{SU}(3)$ Chain
• Susceptibility and Dzyaloshinskii-Moriya interaction in the Haldane gap compound NENP
• Magnetization profiles and NMR spectra of doped Haldane chains at finite temperatures
• Luttinger liquid parameter for the spin-1 Heisenberg chain in a magnetic field
• Low-energy properties of two-leg spin-1 antiferromagnetic ladders with commensurate external fields and their extensions
• Quantum criticality of bosonic systems with the Lifshitz dispersion
• Two-channel Kondo Lattice Model on a ladder studied by the Density Matrix Renormalization Group Method
• Determination of Boundary Scattering, Intermagnon Scattering, and the Haldane Gap in Heisenberg Chains
• Static and Dynamic Properties of Antiferromagnetic Heisenberg Ladders: Fermionic versus Bosonic Approaches
• Susceptibilities and Spin Gaps of Weakly-coupled Spin Ladders
• Density Matrix and Renormalization for Classical Lattice Models
• Quantum critical dynamics and scaling in one-dimensional antiferromagnets
• The role of density-dependent magnon hopping and magnon-magnon repulsion in ferrimagnetic spin-(1/2, $S$) chains in a magnetic field
• On the Application of the Non Linear Sigma Model to Spin Chains and Spin Ladders
• Magnetically Stabilized Order. II: Critical states and algebraically ordered nematic spin liquids in one-dimensional optical lattices
• Quantum Dimensional Transition in Spin-$\frac{1}{2}$ Antiferromagnetic Heisenberg Model on A Square Lattice and Space Reduction in Matrix Product State
• State Space Geometry of the Spin-1 Antiferromagnetic Heisenberg Chain
• Low-lying magnon excitations in integer-spin ladders and tubes
• Hyperbolic Deformation Applied to S = 1 Spin Chains - Scaling Relation in Excitation Energy -
• Magnetic phase diagram of a frustrated ferrimagnetic ladder: Relation to the one-dimensional boson Hubbard model
• Magnetic properties of delta- and kagome-like chains with competing interactions
• Crystalline topological defects within response theory
• Bond-versus-site doping models for off-chain-doped Haldane-gap system Y${}_2$ Ba Ni O${}_5$