Computation of Dynamical Structure Factors with the Recursion Method

Abstract

We compute the energies and transition probabilities for low excitations in the one dimensional antiferromagnetic spin-1/2 Heisenberg model by means of the recursion method. We analyse finite size effects in the euclidian time ($\tau$)-representation and compare the resulting estimate for the thermodynamical limit with two parametrizations for the dynamical structure factors in the spectral ($\omega$)-representation.

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References in corpus (5)

• Exact calculation of the ground-state dynamical spin correlation function of a S=1/2 antiferromagnetic Heisenberg chain with free spinons
• Gaussian, exponential, and power-law decay of time-dependent correlation functions in quantum spin chains
• Dynamical T=0 correlations of the S=1/2 1D Heisenberg Anti-Ferromagnet with 1/r^2 exchange in a magnetic field
• Finite Size Analysis of the Structure Factors in the Antiferromagnetic XXZ Model
• COMPLETE SOLUTION OF THE XXZ-MODEL ON FINITE RINGS. DYNAMICAL STRUCTURE FACTORS AT ZERO TEMPERATURE.

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• Magnon-magnon interactions in the Spin-Peierls compound CuGeO_3
• η-Exponents in the one dimensional antiferromagnetic Heisenberg model with next to nearest neighbour coupling
• Spectral Analysis of Correlated One-Dimensional Systems with Impurities
• From one to two dimensions in quantum spin systems