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Titlebook: Dynamical Mean-Field Theory for Strongly Correlated Materials; Volodymyr Turkowski Book 2021 Springer Nature Switzerland AG 2021 Dynamical

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楼主: commingle
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One-Band Hubbard Model: Definition and Early Solutionshen, we analyze early solutions of this model by using perturbative and non-perturbative approaches. We discuss the strengths and the weaknesses of different approximations, especially in describing the metal–insulator transition and magnetism. This introductory material is important for understandi
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Dynamical Mean-Field Theory Hubbard model on hypercubic lattice in infinite dimensions and derive its density of states. We continue with the interacting case and show that in the Hubbard model in infinite dimensions, the nonzero diagrams, including the diagrams for the electron self-energy, are local in space. Using this fac
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Extensions of DMFT to the Nonlocal Casestems and/or systems close to phase transitions. We pay a special attention to one of the most popular nonlocal approaches—dynamical vertex approximation (DΓA), where one includes local-in-space but frequency-dependent vertices in the Luttinger–Ward functional. Such a correction allows one to obtain
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DMFT Exchange–Correlation Potentials for Static DFTry important since they will allow to study strongly correlated materials with very powerful ab initio tool and solve the problems not accessible to DMFT so far. Namely, we discuss two main approaches used for this purpose—calculations of the XC potential from the XC energy obtained with DMFT that g
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DMFT Exchange-Correlation Potentials for Time-Dependent DFTding potentials developed by using other approaches to strongly correlated systems, we discuss properties of the adiabatic DMFT XC potential derived for the 3D Hubbard model, including its weak and strong sides. We also show how to obtain a nonadiabatic XC potential (kernel) in the linear-response r
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