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arXiv 1201.0844cond-mat.str-elcond-mat.stat-mech
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磁场中自旋1/2反铁磁海森堡链弦解的准粒子

Quasiparticles of string solutions in the spin-1/2 antiferromagnetic Heisenberg chain in a magnetic field

Masanori Kohno

摘要:

利用精确的Bethe-Ansinger解研究了自旋为1/2的反铁磁海森堡链在磁场中的光谱性质.我们认为,不仅是称为psinon和antipsinon的准粒子,而且在Bethe超导体中代表2-弦的准粒子对磁场中的动力学性质起着重要的作用。结合psinon和antipsinon,准粒子的2弦形成一个连续的横向动力学结构因子$S^{+-}(k,ω)$在高能区。在零场极限下,连续谱位于零场中最低激发态的模上,称为des Cloizeaux-Pearson模。在磁场中,连续谱与其他低能连续谱分离,并从饱和场附近的全极化态退化为自旋翻转的束缚态模。我们确认的相关性,通过比较与现有的实验结果的准一维反铁磁体CuCl $_2\cdot$ 2 N(C $_5$ D $_5$)。

英文摘要:

Spectral properties of the spin-1/2 antiferromagnetic Heisenberg chain in a magnetic field are investigated by using exact Bethe-ansatz solutions. We argue that not only quasiparticles called psinon and antipsinon but also a quasiparticle representing a 2-string in the Bethe ansatz plays an important role for dynamical properties in a magnetic field. Combined with psinon and antipsinon, the quasiparticle for a 2-string forms a continuum in the high-energy regime for transverse dynamical structure factor $S^{+-}(k,ω)$. In the zero-field limit, the continuum is located on the mode of the lowest excited states in zero field called the des Cloizeaux-Pearson mode. In a magnetic field, the continuum separates from other low-energy continua, and reduces to the mode of bound states of overturned spins from the fully polarized state near the saturation field. We confirm the relevance through comparisons with available experimental results on the quasi-one-dimensional antiferromagnet CuCl$_2\cdot$2N(C$_5$D$_5$).

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