Dynamical Mean Field Theory equations on nearly real frequency axis

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dc.creatorFathi, M. B.
dc.creatorJafari, S. A.
dc.date2008-01-15
dc.date2008-08-05
dc.date.accessioned2026-07-07T09:54:22Z
dc.date.available2026-07-07T09:54:22Z
dc.descriptionThe 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.
dc.descriptionrevisions corresponding to adding a new Fig. 4
dc.identifierhttps://arxiv.org/abs/0801.2353
dc.identifierhttp://arxiv.org/abs/0801.2353
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166285
dc.subjectStrongly Correlated Electrons
dc.titleDynamical Mean Field Theory equations on nearly real frequency axis
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