Quasi-particle interactions in frustrated Heisenberg chains

Abstract

Interactions between elementary excitations in quasi-one dimensional antiferromagnets are of experimental relevance and their quantitative theoretical treatment has been a theoretical challenge for many years. Using matrix product states, one can explicitly determine the wavefunctions of the one- and two-particle excitations, and, consequently, the contributions to dynamical correlations. We apply this framework to the (non integrable) frustrated dimerized spin-1/2 chain, a model for generic spin-Peierls systems, where low-energy quasi-particle excitations are bound states of topological solitons. The spin structure factor involving two quasi-particle scattering states is obtained in the thermodynamic limit with full momentum and frequency resolution. This allows very subtle features in the two-particle spectral function to be revealed which, we argue, could be seen, e.g., in inelastic neutron scattering of spin-Peierls compounds under a change of the external pressure.

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Cited by in corpus (9)

• Tangent-space methods for uniform matrix product states
• Spinon confinement in a quasi one dimensional anisotropic Heisenberg magnet
• Quasiparticles in quantum spin chains with long-range interactions
• Dynamical structure factor of the $J_1-J_2$ Heisenberg model in one dimension: the variational Monte Carlo approach
• Spinon confinement and deconfinement in spin-1 chains
• Momentum-resolved time evolution with matrix product states
• Dynamical quantum phase transition and thermal equilibrium in the lattice Thirring model
• Dynamic structure factor from real time evolution and exact correction vectors with matrix product states
• Low-energy dynamics of the Affleck-Kennedy-Lieb-Tasaki model in the one- and two-triplon basis