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The supersymmetry method for study of disordered systems is shortly reviewed. The discussion starts with a historical introduction followed by an explanation of the idea of using Grassmann anticommuting variables for investigating…

Disordered Systems and Neural Networks · Physics 2010-07-13 K. B. Efetov

The localization lengths of long-range correlated disordered chains are studied for electronic wavefunctions in the Anderson model and for vibrational states. A scaling theory close to the band edge is developed in the Anderson model and…

Disordered Systems and Neural Networks · Physics 2009-11-07 Stefanie Russ

We show, using quasi-exact numerical simulations, that Anderson localization of one-dimensional particles in a disordered potential survives in the presence of attractive interaction between particles. The localization length of the…

We numerically study the Anderson localization of weekly interacting Bose-Einstein condensate in a one-dimensional disordered potential. We show that two parameters are needed to completely describe such system, and the density profile of…

Quantum Gases · Physics 2013-04-11 Jian Xu , Dan-Wei Zhang , Xin-Ding Zhang , Zheng-Yuan Xue

Strong localization of light in three-dimensional disordered dielectric systems remains challenging to establish because it requires extremely strong recurrent scattering, while the long-lived localized contribution can be weak and masked…

Optics · Physics 2026-05-26 Yevgen Grynko , Jens Förstner

The impact of local reflection symmetry on wave localization and transport within finite disordered chains is investigated. Local symmetries thereby play the role of a spatial correlation of variable range in the finite system. We find…

Disordered Systems and Neural Networks · Physics 2020-08-21 C. V. Morfonios , M. Röntgen , F. K. Diakonos , P. Schmelcher

One of the most intriguing phenomena in physics is the localization of waves in disordered media. This phenomenon was originally predicted by Anderson, fifty years ago, in the context of transport of electrons in crystals. Anderson…

Disordered Systems and Neural Networks · Physics 2015-02-26 G. Roati , C. D'Errico , L. Fallani , M. Fattori , C. Fort , M. Zaccanti , G. Modugno , M. Modugno , M. Inguscio

We propose a new viewpoint on the study of localization transitions in disordered quantum systems, showing how critical properties can be seen also as a geometric transition in the data space generated by the classically encoded…

Disordered Systems and Neural Networks · Physics 2024-07-16 Carlo Vanoni , Vittorio Vitale

We develop an analytical method for the processing of electron spin resonance (ESR) spectra. The goal is to obtain the distributions of trapped carriers over both their degree of localization and their binding energy in semiconductor…

Materials Science · Physics 2012-03-28 Andrey S. Mishchenko , Hiroyuki Matsui , Tatsuo Hasegawa

We elucidate the different mechanisms of wave localisation in disordered finite systems of subwavelength resonators, where the disorder is in the spatial arrangement of the resonators. To do so, we employ the capacitance matrix formalism…

Disordered Systems and Neural Networks · Physics 2025-07-10 Habib Ammari , Silvio Barandun , Alexander Uhlmann

We propose a self-consistent approximate solution of the disordered Kondo-lattice model (KLM) to get the interconnected electronic and magnetic properties of 'local-moment' systems like diluted ferromagnetic semiconductors. Aiming at…

Materials Science · Physics 2009-11-13 V. Bryksa , W. Nolting

The typical medium dynamical cluster approximation (TMDCA) is reformulated in the language of multiple scattering theory to make possible first principles calculations of the electronic structure of substitutionally disordered alloys…

Disordered Systems and Neural Networks · Physics 2017-04-28 H. Terletska , Y. Zhang , L. Chioncel , D. Vollhardt , M. Jarrell

We study the Anderson disordered Hubbard model on the honeycomb lattice. The Hubbard term is han- dled with strong-coupling perturbation theory which encodes the Mott transition physics into a rich dynamical structure of a local…

Strongly Correlated Electrons · Physics 2018-12-06 Alireza Habibi , Elaheh Adibi , S. A. Jafari

We present direct experimental evidences of Anderson localization induced by the intrinsic alloy compositional disorder of InGaN/GaN quantum wells. Our approach relies on the measurement of the luminescence spectrum under local injection of…

We consider a tight-binding model on the regular honeycomb lattice with uncorrelated on-site disorder. We use two independent methods (recursive Green's function and self-consistent Born approximation) to extract the scattering mean free…

Disordered Systems and Neural Networks · Physics 2013-04-11 Kean Loon Lee , Benoît Grémaud , Christian Miniatura , Dominique Delande

A review of electronic dynamics of single-impurity and many-impurity Anderson models is contained in this report. Those models are used widely for many of the applications in diverse fields of interest, such as surface physics, theory of…

Strongly Correlated Electrons · Physics 2015-03-04 A. L. Kuzemsky

Quantitative simulation of electronic structure of solids requires treating local and non-local electron correlations on an equal footing. We present a new ab initio formulation of Green's function embedding which, unlike dynamical…

Materials Science · Physics 2024-10-01 Jiachen Li , Tianyu Zhu

Compared to common density functionals, ab initio wave function methods can provide greater reliability and accuracy, which could prove useful when modeling adsorbates or defects of otherwise periodic systems. However, the breaking of…

Materials Science · Physics 2020-10-02 Bryan T. G. Lau , Gerald Knizia , Timothy C. Berkelbach

Using a novel self-consistent implementation of Hedin's GW perturbation theory we calculate space and energy dependent self-energy for a number of materials. We find it to be local in real space and rapidly convergent on second-- to third--…

Strongly Correlated Electrons · Physics 2012-04-11 N. E. Zein , S. Y. Savrasov , G. Kotliar

A simple and commonly employed approximate technique with which one can examine spatially disordered systems when strong electronic correlations are present is based on the use of real-space unrestricted self-consistent Hartree-Fock wave…

Strongly Correlated Electrons · Physics 2009-11-13 X. Chen , A. Farhoodfar , T. McIntosh , R. J. Gooding , P. W. Leung
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