“…For a comprehensive historic review, the importance of the DCF, an account of the existing results, and a list of references on this subject we recommend Refs. [4,5,6,7,8,9]. In particular, in Ref.…”
We derive the exact contribution of two spinons to the dynamical correlation function of the spin-1/2 Heisenberg model. For this, we use the isotropic limits of the exact form factors that have been recently computed through the quantum affine symmetry of the anisotropic Heisenberg model XXZ.
“…For a comprehensive historic review, the importance of the DCF, an account of the existing results, and a list of references on this subject we recommend Refs. [4,5,6,7,8,9]. In particular, in Ref.…”
We derive the exact contribution of two spinons to the dynamical correlation function of the spin-1/2 Heisenberg model. For this, we use the isotropic limits of the exact form factors that have been recently computed through the quantum affine symmetry of the anisotropic Heisenberg model XXZ.
“…Substituting in the latter relation the identity operator I by the right hand side of the completeness relation (7) we find :…”
Section: N-spinon Dsfmentioning
confidence: 99%
“…It is well known that the family of 1D quantum spin chain models play a crucial role both from a physical point of view and a mathematical point of view as they lend themselves to exact solutions based on mathematical algebraic theories and they lend themselves to precise experiments in the lab [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. This is due to the fact that these models exhibit symmetries that can be described rigourously by well known algebras and their spectrum of enseigenspaces can be built from well structured representations of these algerbras.…”
“…For more details on the usefulness of form factors and DCF see Refs. 3,4,5,6,7,8,9 . In a recent development however, it has been realized that in the thermodynamic limit the Heisenberg model XXZ becomes symmetric under the quantum affine algebra U q ( sl(2)) in the anti-ferromagnetic regime.…”
The exact form factors of the Heisenberg models XXX and XXZ have been recently computed through the quantum affine symmetry of XXZ model in the thermodynamic limit. We use them to derive an exact formula for the contribution of two spinons to the dynamical correlation function of XXX model at zero temperature.
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