论文标题

XXZ-自旋链中的阈值奇异点

Threshold singularities in the XXZ- spin chain

论文作者

Ovchinnikov, A. A.

论文摘要

我们计算较低阈值的XXZ-Spin链的光谱密度的阈值奇点的临界指数。我们表明,相应的相移是不依赖动量的,并与有效的移动杂质哈密顿方法的预测共同进行。我们表明,对于具有高能粒子的特征状态,具有动量$ k $的特征状态,它比粒子孔刺激的动量大得多,即使在限制$ k << p_f $中,在Luttinger模型的框架中也没有描述FormFactor,但应在有效的移动移动杂质Hamilton方法的框架中评估。

We calculate the critical exponents of the threshold singularity for the spectral density of the XXZ- spin chain at zero magnetic field for the lower threshold. We show that the corresponding phase shifts are momentum-independent and coinside with the predictions of the effective mobile impurity Hamiltonian approach. We show that for the eigenstates with the high-energy particle with the momentum $k$ which is much larger than the momenta of the particle-hole excitations the formfactor is not described in the framework of the Luttinger model even in the limit $k<<p_F$ but should be evaluated in the framework of the effective mobile impurity Hamiltonian approach.

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