Dynamical correlation functions for one-dimensional quantum spin systems: New results based on a rigorous approach

Exact two-spinon dynamical correlation function of the one-dimensional Heisenberg model

“…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.…”

EXACT n-SPINON DYNAMIC STRUCTURE FACTOR OF THE HEISENBERG MODEL

“…Substituting in the latter relation the identity operator I by the right hand side of the completeness relation (7) we find :…”

“…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.…”

From Quantum Affine Groups to the Exact Dynamical Correlation Function of the Heisenberg Model

“…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.…”