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Effective electron Hamiltonian for a quasi one-dimensional system. The (TMTSF)_2X and the (TMTTF)_2X systems

机译:拟一维系统的有效电子哈密顿量。 (TMTSF)_2X和(TMTTF)_2X系统

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In this paper we have introduced a variational approach to investigate the ground state of a model which includes both the Holstein electron-phonon interaction and the extended Hubbard electron-electron interaction. We have considered a variational state for the phonon subsystem which generalizes the previous used forms. This state allows to take into account the possibility of extended phonon mediated correlations. The effective electron Hamiltonian, which we have obtained, includes first and second neighbor electron-electron interaction terms. We have treated exactly, through a Lanczos method, this effective model in the one-dimensional case. We have applied our method to two Bechgaard salts and in these cases we have estimated the correlation parameters. We have shown that the introduction of electron-phonon interaction allows an estimate of the on site U and nearest-neighbor V Coulomb repulsion, which are in agreement with the experimental optical spectra of the above mentioned two compounds.
机译:在本文中,我们引入了一种变分方法来研究模型的基态,该模型既包括Holstein电子-声子相互作用,又包括扩展的Hubbard电子-电子相互作用。我们已经考虑了声子子系统的变分状态,该变分状态概括了以前使用的形式。这种状态允许考虑扩展声子介导的相关性的可能性。我们获得的有效电子哈密顿量包括第一和第二相邻电子-电子相互作用项。通过Lanczos方法,我们已经在一维情况下准确地处理了该有效模型。我们已经将我们的方法应用于两种Bechgaard盐,并且在这些情况下,我们已经估计了相关参数。我们已经表明,引入电子-声子相互作用可以估算现场U和最邻近V的库仑斥力,这与上述两种化合物的实验光谱一致。

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