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arXiv 0705.3824cond-mat.str-el
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无限维哈伯德模型中的场相关准粒子

Field dependent quasiparticles in the infinite dimensional Hubbard model

J. Bauer, A. C. Hewson

摘要:

本文给出了磁场中无限维哈伯德模型的单粒子和双粒子响应函数的局域谱密度的动力学平均场论(DMFT)结果。我们期待在不同的制度对应于半填充,近半填充和远离半填充,中间和强的本地相互作用值$U$。低能量的结果进行了分析的准粒子与场相关的参数。通过两种不同的方法确定重整化参数,这两种方法都基于数值重整化群(NRG)计算,我们发现很好的协议。除了半填充之外,准粒子权重$z_σ(H)$根据自旋类型$σ=\uparrow$或$σ=\downarrow$而不同。使用重整化参数,我们表明,DMFT-NRG结果的本地纵向和横向动态自旋极化率在任意字段中可以理解的重复散射这些准粒子。我们还检查Luttinger定理的哈伯德模型,并发现它是满足在所有参数制度和所有值的磁场。

英文摘要:

We present dynamical mean field theory (DMFT) results for the local spectral densities of the one- and two-particle response functions for the infinite dimensional Hubbard model in a magnetic field. We look at the different regimes corresponding to half-filling, near half-filling and well away from half-filling, for intermediate and strong values of the local interaction $U$. The low energy results are analyzed in terms of quasiparticles with field dependent parameters. The renormalized parameters are determined by two different methods, both based on numerical renormalization group (NRG) calculations, and we find good agreement. Away from half-filling the quasiparticle weights, $z_σ(H)$, differ according to the spin type $σ=\uparrow$ or $σ=\downarrow$. Using the renormalized parameters, we show that DMFT-NRG results for the local longitudinal and transverse dynamic spin susceptibilities in an arbitrary field can be understood in terms of repeated scattering of these quasiparticles. We also check Luttinger's theorem for the Hubbard model and find it to be satisfied in all parameter regimes and for all values of the magnetic field.

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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