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arXiv · 0801.2353

Dynamical Mean Field Theory equations on nearly real frequency axis

M. B. Fathi·S. A. Jafari
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Abstract

The Iterated Perturbation Theory (IPT) equations of the Dynamical Mean Field Theory (DMFT) for the half-filled Hubbard model, are solved on nearly real frequencies at various values of the Hubbard parameters $U$, to investigate the nature of metal-insulator transition (MIT) at finite temperatures. This method avoids the instabilities associated with the infamous Padé analytic continuation and reveals fine structures across the MIT at finite temperatures, which {\em can not be captured} by conventional methods for solving DMFT equations on Matsubara frequencies. Our method suggests that at finite temperatures, there is an abrupt decrease in the height of the quasi-particle (Kondo) peak at a critical value of $U_c$, to a non-zero but small bump which gradually suppresses as one moves deeper into the {\em bad} insulator regime. In contrast to Vollhardt and coworkers [J. Phys. Soc. Jpn. {\bf 74} (2005) 136], down to $T=0.01$ of the half-bandwidth we find no $T^*$ separating bad insulator from a true Mott insulator.

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M. B. Fathi, S. A. Jafari. 2008-08-05. Dynamical Mean Field Theory equations on nearly real frequency axis. https://arxiv.org/abs/0801.2353

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