Scaling Properties and Conformal Invariance of the Critical Wave Functions at 2D Anderson Transition in the Spin-Orbit Symmetry Class, M.Sc. Thesis Sharif University of Technology ; Jafari, Akbar (Supervisor) ; Saberi, Abbas Ali (Supervisor)
Abstract
In this thesis, first of all we introduce the Anderson model, Multifractality, and conformal field theory. Then we try to determine some critical and scaling quantities for the critical wave functions in the 2D systems with spin-orbit interactions We implement a correction-to-scaling analysis by introducing an irrelevant exponent which leads to a proper and sharp evaluation of the critical parameters including correlation exponent, rescaled localization length and the critical disorder. Then, we survey the multifractal properties of this model and obtain some multifractal exponent in the critical point. Finally, we will survey the existence of the conformal invariance symmetry in it. Our...
Cataloging briefScaling Properties and Conformal Invariance of the Critical Wave Functions at 2D Anderson Transition in the Spin-Orbit Symmetry Class, M.Sc. Thesis Sharif University of Technology ; Jafari, Akbar (Supervisor) ; Saberi, Abbas Ali (Supervisor)
Abstract
In this thesis, first of all we introduce the Anderson model, Multifractality, and conformal field theory. Then we try to determine some critical and scaling quantities for the critical wave functions in the 2D systems with spin-orbit interactions We implement a correction-to-scaling analysis by introducing an irrelevant exponent which leads to a proper and sharp evaluation of the critical parameters including correlation exponent, rescaled localization length and the critical disorder. Then, we survey the multifractal properties of this model and obtain some multifractal exponent in the critical point. Finally, we will survey the existence of the conformal invariance symmetry in it. Our...
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