Edge exponent in the dynamic spin structure factor of the Yang-Gaudin model

Zvonarev, M. B. and Cheianov, Vadim and Giamarchi, T. (2009) Edge exponent in the dynamic spin structure factor of the Yang-Gaudin model. Physical review B, 80 (20): 201102. -. ISSN 1098-0121

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Abstract

The dynamic spin structure factor S(k,omega) of a system of spin-1/2 bosons is investigated at arbitrary strength of the interparticle repulsion. As a function of omega it is shown to exhibit a power-law singularity at the threshold frequency defined by the energy of a magnon at given k. The power-law exponent is found exactly using a combination of the Bethe ansatz solution and an effective-field theory approach.