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arXiv 0808.3091cond-mat.str-el
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具有有限横向带色散的准一维导体的光谱特性

Spectral properties of quasi-one-dimensional conductors with a finite transverse band dispersion

Z Bonacic Losic, A Bjelis, P Zupanovic

摘要:

我们确定了具有有限链间跳跃$t_\perp$和三维长程库仑电子-电子相互作用的导电链格点的单粒子谱函数和相应的导出量。使用标准的$G_{0}W_{0}$近似。结果表明,由于有限的$t_\perp$引起的各向异性等离子体色散的光学特性,在谱函数中除了等离子体能量量级的峰外,还出现了低能准粒子$δ$峰.特别注意的是致力于从非费米液体的费米液体制度,通过增加$t_\perp$的连续交叉。结果表明,驼峰的光谱重量转移到准粒子的光学间隙的等离子体色散与$t_\perp$一起增加,与准粒子残留$Z$表现类似$- (\ln t_{\perp})^{-1}$在极限$t_{\perp}\to 0$。我们的方法是适当的宽范围的能量尺度所给出的等离子体激元能量和导带的宽度,是互补的Luttinger液体技术,仅限于低能量制度接近费米表面。

英文摘要:

We determine the one-particle spectral function and the corresponding derived quantities for the conducting chain lattice with the finite inter-chain hopping $t_\perp$ and the three-dimensional long-range Coulomb electron-electron interaction. The standard $G_{0}W_{0}$ approximation is used. It is shown that, due to the optical character of the anisotropic plasmon dispersion caused by the finite $t_\perp$, the low energy quasi-particle $δ$-peak appears in the spectral function in addition to the hump present at the energies of the order of plasmon energy. The particular attention is devoted to the continuous cross-over from the non-Fermi liquid to the Fermi liquid regime by increasing $t_\perp$. It is shown that the spectral weight of the hump transfers to the quasi-particle as the optical gap in the plasmon dispersion increases together with $t_\perp$, with the quasi-particle residuum $Z$ behaving like $- (\ln t_{\perp})^{-1}$ in the limit $t_{\perp}\to 0$. Our approach is appropriate for the wide range of energy scales given by the plasmon energy and the width of the conduction band, and is complementary to the Luttinger liquid techniques that are limited to the low energy regime close to the Fermi surface.

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