Dynamical structure factor of the $J_1-J_2$ Heisenberg model in one dimension: the variational Monte Carlo approach

Abstract

The dynamical spin structure factor is computed within a variational framework to study the one-dimensional $J_1-J_2$ Heisenberg model. Starting from Gutzwiller-projected fermionic wave functions, the low-energy spectrum is constructed from two-spinon excitations. The direct comparison with Lanczos calculations on small clusters demonstrates the excellent description of both gapless and gapped (dimerized) phases, also including incommensurate structures for $J_2/J_1>0.5$. Calculations on large clusters show how the intensity evolves when increasing the frustrating ratio and give an unprecedented accurate characterization of the dynamical properties of (non-integrable) frustrated spin models.

10 pages, 7 figures

References in corpus (7)

• Spontaneous Magnon Decays
• Fractional excitations in the square-lattice quantum antiferromagnet
• Spectral functions in one-dimensional quantum systems at T>0
• Reorthonormalization of Chebyshev matrix product states for dynamical correlation functions
• Dynamical structure factor of quasi-2D antiferromagnet in high fields
• Spinon excitation spectra of the $J_1$-$J_2$ chain from analytical calculations in the dimer basis and exact diagonalization
• Fractionalized spin-wave continuum in spin liquid states on the kagome lattice

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