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 (3)

• Real time evolution using the density matrix renormalization group
• New Trends in Density Matrix Renormalization
• Exact edge singularities and dynamical correlations in spin-1/2 chains

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• Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
• Spectral functions and time evolution from the Chebyshev recursion
• Spin-charge separation in one-dimensional fermion systems beyond the Luttinger liquid theory
• Characterizing the Haldane phase in quasi-one-dimensional spin-1 Heisenberg antiferromagnets
• Spectral properties of a partially spin-polarized one-dimensional Hubbard/Luttinger superfluid
• Consequences of critical interchain couplings and anisotropy on a Haldane chain
• Dynamical Functions of a 1D Correlated Quantum Liquid
• Real-time dynamics in the one-dimensional Hubbard model
• Low-energy magnetic excitations in the quasi-one-dimensional spin-1 chain compound SrNi2V2O8
• Spin dynamics of the anisotropic spin-1 antiferromagnetic chain at finite magnetic fields