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arXiv 1204.2656cond-mat.str-el
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各向异性近藤半导体的动力学平均场理论:温度和磁场的依赖性

Dynamical mean-field theory for the anisotropic Kondo semiconductor: Temperature and magnetic field dependence

Takemi Yamada, Yoshiaki Ōno

摘要:

利用动力学平均场论结合精确对角化方法研究了具有$\bm{k}$依赖的$c$-$f$混合的周期Anderson模型,该模型再现了杂化能隙的点节点.在低于相干温度$T_0$的低温下,发现自能的虚部与$T^2$成正比,并且在$T\ll T_0$中清楚地观察到具有两个特征能量$\tilde{\it Δ}_1$和$\tilde{\it Δ}_2$的赝能隙,而赝能隙随着$T$的增加而模糊,然后由于虚部自能的演化而在高温$T \simg T_0$消失.当$f$电子$U$之间的库仑相互作用增加时,$\tilde{\it Δ}_1$、$\tilde{\it Δ}_2$和$T_0$以及磁化率最大的$T_{\rm max}$与重整化因子$Z$成比例地减小,导致重费米子半导体对于大的$U$具有大的质量增强$m^*/m=Z^{-1}$。我们还研究了外部磁场$H$的影响,发现磁化$M$显示出两个变磁异常$H_1$和$H_2$,对应于由于$H$和$Z$的影响而减少的$\tilde{\it Δ}_1$和$\tilde{\it Δ}_2$。值得注意的是,$Z^{-1}$被发现大大增强,由于$H$,特别是对于$H_1 \siml H \siml H_2$,其中实现了场诱导重费米子态。所得结果似乎与在各向异性近藤半导体如CeNiSn中观察到的实验结果一致。

英文摘要:

We investigate the periodic Anderson model with $\bm{k}$-dependent $c$-$f$ mixing reproducing the point nodes of the hybridization gap by using the dynamical mean-field theory combined with the exact diagonalization method. At low temperature below a coherence temperature $T_0$, the imaginary part of the self-energy is found to be proportional to $T^2$ and the pseudogap with two characteristic energies $\tilde{\it Δ}_1$ and $\tilde{\it Δ}_2$ is clearly observed for $T\ll T_0$, while the pseudogap is smeared with increasing $T$ and then disappears at high temperature $T \simg T_0$ due to the evolution of the imaginary self-energy. When the Coulomb interaction between $f$ electrons $U$ increases, $\tilde{\it Δ}_1$, $\tilde{\it Δ}_2$, and $T_0$ together with $T_{\rm max}$ at which the magnetic susceptibility is maximum decrease in proportion to the renormalization factor $Z$ resulting in a heavy-fermion semiconductor with a large mass enhancement $m^*/m=Z^{-1}$ for large $U$. We also examine the effect of the external magnetic field $H$ and find that the magnetization $M$ shows two metamagnetic anomalies $H_1$ and $H_2$ corresponding to $\tilde{\it Δ}_1$ and $\tilde{\it Δ}_2$ which are reduced due to the effect of $H$ together with $Z$. Remarkably, $Z^{-1}$ is found to be largely enhanced due to $H$ especially for $H_1 \siml H \siml H_2$, where the field induced heavy-fermion state is realized. The obtained results seem to be consistent with the experimental results observed in the anisotropic Kondo semiconductors such as CeNiSn.

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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