Yang-Gaudin模型动态自旋结构因子中的棱指数
Edge exponent in the dynamic spin structure factor of the Yang-Gaudin model
摘要:
本文研究了自旋为1/2的玻色子系统在任意粒子间排斥强度下的动态自旋结构因子$\mathcal{S}(k,ω)$。作为$ω$的函数,它示出表现出幂律奇异性的阈值频率所定义的能量的磁振子在给定的$k.$的幂律指数被发现正是使用的Bethe Anastrous解决方案和有效场论的方法相结合。
英文摘要:
The dynamic spin structure factor $\mathcal{S}(k,ω)$ of a system of spin-1/2 bosons is investigated at arbitrary strength of interparticle repulsion. As a function of $ω$ 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.
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