The dynamic structure factor in impurity-doped spin chains

Abstract

The effects of impurities in spin-1/2 Heisenberg chains are recently experiencing a renewed interest due to experimental realizations in solid state systems and ultra-cold gases. The impurities effectively cut the chains into finite segments with a discrete spectrum and characteristic correlations, which have a distinct effect on the dynamic structure factor. Using bosonization and the numerical Density Matrix Renormalization Group we provide detailed quantitative predictions for the momentum and energy resolved structure factor in doped systems. Due to the impurities, spectral weight is shifted away from the antiferromagnetic wave-vector $k=\pi$ into regions which normally have no spectral weight in the thermodynamic limit. The effect can be quantitatively described in terms of scaling functions, which are derived from a recurrence relation based on bosonization.

submitted version, 12 pages, 2 figures, latest version and more information can be found at https://www.physik.uni-kl.de/eggert/papers/index.html

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Cited by in corpus (6)

• Non-equilibrium Floquet steady states of time-periodic driven Luttinger liquids
• Open XXZ chain and boundary modes at zero temperature
• LT-scaling in depleted quantum spin ladders
• Microscopic dynamics and an effective Landau-Zener transition in the quasi-adiabatic preparation of spatially ordered states of Rydberg excitations
• Spin-wave theory in a randomly disordered lattice: A Heisenberg ferromagnet
• Boundary logarithmic corrections to the dynamical correlation functions of one-dimensional spin-1/2 chains