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Gap formation and phase transition of the anisotropic Kondo necklace model: Density matrix renormalization group analysis

机译:各向异性近藤项链模型的间隙形成和相变:密度矩阵重归一化组分析

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摘要

We analyze the one-dimensional Kondo necklace model, at zero temperature, with an anisotropy parameter η in the interaction of the conduction chain, by means of the density matrix renormalization group. We calculate the energy gap and estimate the quantum critical points that separate a Kondo singlet state from an antiferromagnetic state, assuming a Kosterlitz-Thouless tendency. We also observe the correlation functions and the structure factors that support our critical points. The resulting phase diagram is presented and compared to that reported previously using Lanczos calculations. It is shown that the quantum critical points vary very slowly with η, but when η approaches zero, they drop abruptly.
机译:我们通过密度矩阵重归一化组分析了在零温度下一维Kondo项链模型,该模型在传导链的相互作用中具有各向异性参数η。我们假设Kosterlitz-Thouless趋势,计算能隙并估计将Kondo单重态与反铁磁态分开的量子临界点。我们还观察了支持我们关键点的相关函数和结构因素。给出了相图,并将其与以前使用Lanczos计算报告的相图进行了比较。结果表明,量子临界点随η的变化非常缓慢,但是当η接近零时,它们突然下降。

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