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arXiv 0712.3785cond-mat.str-el
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S=1海森堡反铁磁链的谱函数

Spectral Function for the S=1 Heisenberg Antiferromagetic Chain

Steven R. White, Ian Affleck

摘要:

利用含时密度矩阵重整化群(DMRG)方法研究了自旋为1的一维反铁磁链的谱函数$S(k,ω)$.我们开发的方法外推的时间依赖的关联函数,以提高频率分辨率。由此产生的光谱函数是令人印象深刻的精确和准确。我们的研究结果证实了许多定性的期望,从非线性$σ$模型方法,并测试它们定量。单粒子激发从2粒子连续体中出现的临界波矢估计为$0.23π-0.24π$。

英文摘要:

We study the spectral function, $S(k,ω)$ for the spin-1, one dimensional antiferromagnetic chain using a time-dependent density matrix renormalizaton group (DMRG) numerical method. We develop methods for extrapolating the time dependent correlation functions to larger times in order to enhance the frequency resolution. The resulting spectral functions are impressively precise and accurate. Our results confirm many qualitative expectations from non-linear $σ$ model methods and test them quantitatively. The critical wave-vector at which the single particle excitation emerges from the 2-particle continuum is estimated to be $0.23π-0.24π$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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