Master Degree / Yüksek Lisans Tezleri
Permanent URI for this collectionhttps://hdl.handle.net/11147/3008
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Master Thesis Mapping of the Electronic Structure of Metalloproteins Onto Multi-Orbital Anderson Model Using the Density Functional Theory(Izmir Institute of Technology, 2013) Kandemir, Zafer; Bulut, NejatIn this thesis, an effective Haldane-Anderson model is constructed in order to describe the electronic properties of a system where a the transition-metal impurity atom is added into a semiconductor host material. Metalloenzymes and metalloproteins are proteins which contain a transition metal. Vitamin B12 is a metalloenzyme which contains a cobalt (Co) atom. The vitamin B12 exhibits semiconducting properties due to the presence of a semiconductor gap in the electronic density of states. Thus, we argue that the electronic properties of vitamin B12 can be studied within the framework of the Haldane- Anderson model. In this thesis, firstly, the electronic structure of vitamin B12, which is known as cyanocobalamin, is obtained by using the Density Functional Theory (DFT) via the Gaussian program. By using the DFT results, the energies of the host and the 3d orbitals, and the hybridization terms between them are calculated. The final Haldane- Anderson Hamiltonian is obtained by adding the onsite Coulomb repulsion at the impurity 3d orbitals. The Haldane-Anderson Hamiltonian which has been constructed in this way from the DFT results can be studied by using the exact techniques many-body physics such as quantum Monte Carlo. Perturbative mean-field treats can also be used to study this Hamiltonian. Hence, the DFT calculations presented in this thesis represent the first step of thorough investigation of metalloproteins using these techniques of many-body physics.Master Thesis Electronic Correlations in Metalloproteins: a Quantum Monte Carlo Study(Izmir Institute of Technology, 2013) Mayda, Selma; Bulut, NejatMetalloproteins are proteins that contain a metal atom. Some metalloproteins include a transition metal such as vitamin B12 (Co) and hemoglobin (Fe) and these structures show semiconducting properties. In this thesis, as an example of metalloproteins, vitamin B12 is studied and electronic and magnetic properties of Co 3d electrons are examined by the quantum Monte Carlo method (QMC). Since vitamin B12 contains a cobalt (Co) atom and has a semiconductor gap, its electronic and magnetic properties can be described by multi-orbital Haldane-Anderson model. Haldane-Anderson model explains the electronic properties of semiconductors which contain a transition metal impurity and considers the onsite Coulomb interactions of impurity 3d orbitals. To solve this model, we use Hirsch-Fye quantum Monte Carlo algorithm (HFQMC) without making any approximations. Firstly, the occupations and intra-orbital electronic correlations of 3d orbitals are calculated. After that, the total magnetization and the inter-orbital correlations of 3d orbitals are obtained. Next, the total magnetic susceptibility and magnetic susceptibilities between the 3d orbitals are calculated. Finally, we discuss the physical meaning of the QMC calculations.