Perusing Metal Perusing Metal Insulator Transistors with in the Dynamical Field Approximation at Finite Temperature

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Fathi, Mohammad Bagher | 2010

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Type of Document: Ph.D. Dissertation
Language: Farsi
Document No: 41487 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Vesaghi, Mohammad ALi
Abstract:
The aim of this work is to investigate some theoretical models developed in recent years for describing electronic correlation and apply them to some special problems and metallicity and insulating behavior of one type of paramagnetic systems. One of the vast‐applied and effective routines for investigating the strongly correlated electron systems is Dynamical Mean Field Theory (DMFT). In the first part, the equations of DMFT are solved on nearly real frequency axis with a effective and more reliable solver a little parameter γ above the real axis. This approach appears fine structures that can’t be captured with the common solving the equations on imaginary axis and analytical continuing them to real axis. Finally, we study a class of variational methods for investigating the strongly electron systems and within them, Gutzwiller approximation in applied to Grpahene to take a new look at the nature of insulator‐metal phase transition in Graphene from another view. It is obtained a mathematical functional for density of states (DOS) in the strong correlation regime for this amazing matter
Keywords:
Dynamical Mean-field Theory ; Strongly Correlated Electron Systems ; Variational Method ; Metal-Insulator Transition (MIT) ; Gutzwiller Method

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