论文标题

2d Ising抗铁磁铁中的孔:不一致的光谱的起源

Hole in the 2D Ising Antiferromagnet: Origin of the Incoherent Spectrum

论文作者

Wrzosek, Piotr, Wohlfeld, Krzysztof

论文摘要

我们开发一个“自我避免行走”的近似值,并使用它来计算引入2D平方晶格的单个孔的光谱函数。获得的局部光谱函数在定性上符合确切的对角线化结果,并且在很大程度上是不连贯的。这样的结果与在伯特晶格上获得的光谱形成鲜明对比,后者由良好的分离的准粒子样峰和有效线性电势中的孔的运动组成。我们确定在平方晶格(i)上的不一致光谱的这种开始不是由所谓的拖杆循环触发的,但(ii)源自沿着移动孔的切向路径产生的巨元之间的磁子的翘曲。

We develop a "self-avoiding walks" approximation and use it to calculate the spectral function of a single hole introduced into the 2D square lattice Ising antiferromagnet. The obtained local spectral function qualitatively agrees with the exact diagonalisation result and is largely incoherent. Such a result stays in contrast with the spectrum obtained on a Bethe lattice, which consists of the well-separated quasiparticle-like peaks and stems from the motion of a hole in an effective linear potential. We determine that this onset of the incoherent spectrum on a square lattice (i) is not triggered by the so-called Trugman loops but (ii) originates in the warping of the linear potential by the interactions between magnons created along the tangential paths of the moving hole.

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