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

Cited by in corpus (5)

• Spectral functions in one-dimensional quantum systems at T>0
• Spectral function of spinless fermions on a one-dimensional lattice
• Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
• Spectral properties of a partially spin-polarized one-dimensional Hubbard/Luttinger superfluid
• Dynamical Functions of a 1D Correlated Quantum Liquid