Theoretical study of the dependence of single impurity Anderson model on various parameters within distributional exact diagonalization method

L. P. Syaina, Muhammad Aziz Majidi

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1 Citation (Scopus)

Abstract

Single impurity Anderson model describes a system consisting of non-interacting conduction electrons coupled with a localized orbital having strongly interacting electrons at a particular site. This model has been proven successful to explain the phenomenon of metal-insulator transition through Anderson localization. Despite the well-understood behaviors of the model, little has been explored theoretically on how the model properties gradually evolve as functions of hybridization parameter, interaction energy, impurity concentration, and temperature. Here, we propose to do a theoretical study on those aspects of a single impurity Anderson model using the distributional exact diagonalization method. We solve the model Hamiltonian by randomly generating sampling distribution of some conducting electron energy levels with various number of occupying electrons. The resulting eigenvalues and eigenstates are then used to define the local single-particle Green function for each sampled electron energy distribution using Lehmann representation. Later, we extract the corresponding self-energy of each distribution, then average over all the distributions and construct the local Green function of the system to calculate the density of states. We repeat this procedure for various values of those controllable parameters, and discuss our results in connection with the criteria of the occurrence of metal-insulator transition in this system.

Original languageEnglish
Article number012072
JournalJournal of Physics: Conference Series
Volume1011
Issue number1
DOIs
Publication statusPublished - 9 May 2018
Event2017 International Conference on Theoretical and Applied Physics, ICTAP 2017 - Yogyakarta, Indonesia
Duration: 6 Sep 20178 Sep 2017

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