Jean-Sébastien Caux and Rob Hagemans J. Stat. Mech. (2006) P12013 doi:10.1088/1742-5468/2006/12/P12013
Jean-Sébastien Caux and Rob Hagemans
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We compute the exact four-spinon contribution to the zero-temperature dynamical structure factor of the spin-1/2 Heisenberg isotropic antiferromagnet in zero magnetic field, directly in the thermodynamic limit. We make use of the expressions for matrix elements of local spin operators obtained by Jimbo and Miwa using the quantum affine symmetry of the model, and of their adaptation to the isotropic case by Abada, Bougourzi and Si-Lakhal (correcting some overall factors). The four-spinon contribution to the first frequency moment sum rule at fixed momentum is calculated. This shows, as expected, that most of the remaining correlation weight above the known two-spinon part is carried by four-spinon states. Our results therefore provide an extremely accurate description of the exact structure factor.
E-print Number: cond-mat/0611319
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82Cxx Time-dependent statistical mechanics (dynamic and nonequilibrium)
Issue 12 (December 2006)
Received 13 November 2006, accepted for publication 1 December 2006
Published 18 December 2006
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