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Effects of Spin- Orbit Coupling on the Phase Diagram of Doped Mott Insulator

Kheirkhah, Majid | 2012

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 43507 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Vaezi, Abolhassan; Ejtehadi, Mohammad Reza
  7. Abstract:
  8. In the past few years, topological insulators (TIs), topological superconductors and their experimental observation have been in the center of condensed maer physicists’ aention. Kane and Mele proposed the simplest and the first model exhibiting TI phase for non-interacting electrons on the two dimensional honeycomb laice. On the other hand, in the Hubbard model for nonzero doping and near the half filling, the high temperature superconductivity is predicted theoretically. In this thesis, we fist investigate the interacting topological insulators by adding the Hubbard interaction to the Kane-Mele model. en, in the strong correlation limit we find an effective spin model -the so called Kane-Mele-Heisenberg model(KMH)- whi was first introduced by Vaezi et al. is model is very similar to the generalized Heisenberg model, except that in this model, the spin interaction between the next nearest neighbors is anisotropic due to the spin- orbit coupling. e main purpose of this thesis is the study of the effect of spin-orbit coupling on the phase diagram of the doped Mo insulator on the honey-comb laice through the KMH model
  9. Keywords:
  10. High Temperature Superconductor ; Topological Insulator ; Topological Superconductor ; Kane-Mele-Hubbard Model ; Kane-Mele-Heisenbery Model

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