Refine
Document Type
- Doctoral thesis (1)
Has Fulltext
- yes (1)
Is part of the Bibliography
- no (1)
Year of publication
- 2012 (1)
Language
- English (1)
Keywords
- Spinsuszeptibilität (1) (remove)
Institute
We formulate a generalization of the time-dependent Gutzwiller theory for the application to multi-band Hubbard models. Our approach allows for the computation of general momentum- and frequency-dependent two-particle response functions. The in-depth knowledge of them is crucial for the understanding and interpretation of experiments in solid-state physics. In the calculation of ground-state properties of Hubbard models, the Gutzwiller approach is known to overcome the main shortcomings of the Hartree–Fock approximation, whose time-dependent generalization is the standard text-book method for the calculation of response functions. We therefore expect that the time-dependent Gutzwiller theory, that has been formulated only for the single-band Hubbard model so far, will offer a technique yielding new insight into the dynamics of strongly-correlated multi-orbital systems. In this thesis, we motivate the employment of multi-orbital Hubbard models and give an introduction to multi-band Hubbard models in Chapters 1 and 2. Their treatment within the Gutzwiller variational approach is subject of Chapter 3, where it is supplemented by investigations that connect our new approach to previous results. We derive the random-phase approximation as the time-dependent Hartree–Fock theory in Chapter 4, followed by the derivation of the corresponding time-dependent Gutzwiller theory in Chapter 5. We demonstrate the applicability of our new approach in Chapter 6, where we calculate the transversal spin susceptibility of a Hubbard model with two degenerate bands and present numerical results for systems in infinite and three spatial dimensions. A summary and conclusion is given in the final Chapter. Mathematical details of our derivations are presented in several appendices.