Master Degree / Yüksek Lisans Tezleri
Permanent URI for this collectionhttps://hdl.handle.net/11147/3008
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Master Thesis Electronic Properties of Artificial Graphene Nanostructure(01. Izmir Institute of Technology, 2021) Güçlü, Alev Devrim; Güçlü, Alev Devrim; 04.05. Department of Pyhsics; 04. Faculty of Science; 01. Izmir Institute of TechnologyArtificial graphene is an artificial honeycomb structure which mimics the interesting properties of graphene. Such as Dirac cone in energy dispersion, zero band gap etc. Wide range of production type makes artificial graphene valuable material. It can be engineered by lasers, molecules and semiconductors. Semiconductor based artificial graphene can be produced by dot lattice with honeycomb patterned attractive potential or by antidot lattice with triangular patterned repulsive potential. In the following calculations, semiconductor (GaAs) based artificial graphene was used to compute electronic properties. Like in graphene, artificial graphene has Dirac cones in energy dispersion. However, graphene has 1.42 angstrom carbon to carbon atom distance. This distance can not be changed but artificial graphene offers us tunability. Different parameters yield tons of band structure. It offers not only Dirac cone but also gaped bands in energy dispersion. This graphene-like feature and tunability make artificial graphene an important and researchable subject. Besides, we added another tunable parameter stiffness to control the shape of potential. Stiffness became another important parameter in our calculations. We observed that stiffness dramatically changes the band structure of the material. As a first step, artificial graphene band structures are calculated from the single-electron approximation. Some parameters are compared with other works and the same results are found. Dirac cones are achieved in band structures. Hopping and Hubbard U values are computed. Those parameters are essential for computing finite structures. Mean-field Hubbard can be solved, and wave functions can be used as input for input required methods such as quantum Monte Carlo. As a second step, we used the density functional theory method to investigate electron-electron interactions. Local density approximation was chosen to solve the Kohn-Sham equation. Hopping parameters obtained from DFT are much realistic than the single-electron approximation. Stiffness plays a big role in DFT energy dispersioMaster Thesis Coulomb Impurities in Graphene Quantum Dots in a Magnetic Field(01. Izmir Institute of Technology, 2021) Güçlü, Alev Devrim; Eren, İsmail; Güçlü, Alev Devrim; 04.05. Department of Pyhsics; 04. Faculty of Science; 01. Izmir Institute of TechnologyIn this thesis, we investigate the atomic collapse of Graphene Quantum Dots (GQDs) in a magnetic field with the tight-binding (TB) model and mean-field Hubbard (MFH) approximation. We placed a charged impurity at the center of GQDs, and we systematically investigated the atomic collapse effect in the magnetic field by adjusting the charge of the impurity, size of the quantum dots, and magnitude of the magnetic field. It is shown that the electronic state with the lowest energy of Graphene resembled the same effect of the lowest bound state (TLBS) of atomic collapse. We confirmed the earlier findings, and we showed that the required critical charges of TLBS of the GQDs to collapse below the Fermi level are almost equal. Additionally, we investigate the formation of resonance states of GQDs, and among these resonance states, we study the evolution of the first-formed resonance state (R1). Applying a perpendicular magnetic field to GQD, decreased the critical charge of each structure, and we found that the decrease is dependent on the dot size. Moreover, we also found that TLBS of GQDs of varying sizes are crossed each other at a particular impurity charge and energy. We used the relation between the magnetic field and magnetic length (lB), and we compared B with the radius of the GQD (RGQD) in varying sizes. We found that TLBS of a GQD still converges to a particular crossing point (in terms of impurity charge and energy) as in no magnetic field when lB > RGQD. However, TLBS of a GQD diverges from the crossing point when lB < RGQD. It is studied that the continuum form of the R1 state became a chain of separated Landau levels in a magnetic field. Here we show that Landau level formation is more noticeable, and the inter-level separation of the Landau levels becomes more prominent when the lB < RGQD. Lastly, we investigated the atomic collapse of the Hofstadter's butterflies in GQDs. We found that increasing the impurity charge collapsed the energy levels. Also, increasing the impurity charge decreased (increased) the local density of states of the impurity center at the top (bottom) part of the spectrum of the Hofstadter's butterflies.Master Thesis Travel Time in Quantum Theory and Ionization Times of Noble Gases(01. Izmir Institute of Technology, 2020) Güçlü, Alev Devrim; Güçlü, Alev Devrim; 04.05. Department of Pyhsics; 04. Faculty of Science; 01. Izmir Institute of TechnologyTime in Quantum mechanics, stands as an unresolved problem from the first time the theory was established to the present day. The present thesis consists of three main studies, in the first part, some time formulas that have been proposed in the past are included. In the second part, time is formulated by using David Bohm's "the guiding equation". In the third part, time formula has been applied to atomic potentials (He, Ar and Kr noble gases) for which time measurements done. It has been shown that the ionization time of the noble gases we have calculated gives results very compatible with the experiments.