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We develop a random-matrix model of two-dimensional dielectric resonators which combines internal wave chaos with the deterministic Fresnel laws for reflection and refraction at the interfaces. The model is used to investigate the…

Optics · Physics 2008-02-15 J. P. Keating , M. Novaes , H. Schomerus

In the absence of magnetic field or spin-orbit coupling the one-parameter scaling theory predicts localization of all states in two-dimensional (2D) disordered systems, for any amount of disorder. However, a 2D metallic phase has been…

Disordered Systems and Neural Networks · Physics 2016-04-20 Shie-Jie Xiong , G. N. Katomeris , S. N. Evangelou

We study the diffusion of monochromatic classical waves in a disordered acoustic medium by scattering theory. In order to avoid artifacts associated with mathematical point scatterers, we model the randomness by small but finite insertions.…

Disordered Systems and Neural Networks · Physics 2009-11-11 Sijmen Gerritsen , Gerrit E. W. Bauer

The self-consistent spin-wave theory is applied to investigate the magnetization distribution around the impurity in isotropic and easy-axis two-dimensional ferro- and antiferromagents. The temperature dependences of host magnetization…

Condensed Matter · Physics 2011-07-22 V. Yu. Irkhin , A. A. Katanin , M. I. Katsnelson

We investigate the gradual emergence of the disorder-related phenomena in intermediate regimes between a deterministic periodic Bragg grating and a fully random grating and highlight two critical properties of partially disordered Bragg…

Optics · Physics 2023-07-19 Arash Mafi

We study analytically the effect of a correlated random potential on the persistent current in a one-dimensional ring threaded by a magnetic flux $\phi$, using an Anderson tight-binding model. In our model, the system of $N=2M$ atomic sites…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. Heinrichs

We study the influence of on-site disorder on the magnetic properties of the ground state of the infinite $U$ Hubbard model. We find that for one dimensional systems disorder has no influence, while for two dimensional systems disorder…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. Eisenberg , R. Berkovits

We examine a novel type of disorder in quantum antiferromagnets. Our model consists of localized spins with antiferromagnetic exchanges on a bipartite quasiperiodic structure, which is geometrically disordered in such a way that no…

Strongly Correlated Electrons · Physics 2015-05-13 Attila Szallas , Anuradha Jagannathan , Stefan Wessel

Bond-disordered Anderson model in two dimensions on a square lattice is studied numerically near the band center by calculating density of states (DoS), multifractal properties of eigenstates and the localization length. DoS divergence at…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Viktor Z. Cerovski

Quenched randomness strongly affects properties of magnetic materials. Two-dimensional (2D) random singlet (RS) states emerge in random $J$-$Q$ model by destroying valence bond solid order with spatial randomness. We examine the 2D RS state…

Strongly Correlated Electrons · Physics 2025-01-10 Chen Peng , Long Zhang

Our experimental (neutron diffraction, M\"ossbauer spectroscopy, magnetic susceptibility, specific heat) and numerical studies on the evolution of short- and long-range magnetic order in $\gamma_{\rm II}$-Li\(_2\)FeSiO\(_4\) suggest a…

Strongly Correlated Electrons · Physics 2025-01-20 W. Hergett , N. Bouldi , M. Jonak , C. Neef , C. Ritter , M. Abdel-Hafiez , F. Seewald , H. -H. Klauss , M. W. -Haverkort , R. Klingeler

The objective of this article is to investigate the profound nonlinear optical response exhibited by inversion symmetric fullerene molecules under the influence of different types of disorders described by the Anderson model. Our aim is to…

Optics · Physics 2023-09-06 H. K. Avetissian , S. Sukiasyan , H. H. Matevosyan , G. F. Mkrtchian

A simple Kronig-Penney model for one-dimensional (1D) mesoscopic systems with $\delta $ peak potentials is used to study numerically the influence of a spatial disorder on the conductance fluctuations and distribution at different regimes.…

Disordered Systems and Neural Networks · Physics 2015-05-13 Rabah Benhenni , Khaled Senouci , Nouredine Zekri , Rachid Bouamrane

We examine by extensive computer simulations the self-diffusion of anisotropic star like particles in crowded two-dimensional solutions. We investigate the implications of the area coverage fraction $\phi$ of the crowders and the…

Soft Condensed Matter · Physics 2016-09-26 Jaeoh Shin , Andrey G. Cherstvy , Ralf Metzler

We consider the role of static disorder in the spin sector of the one- and two-channel Kondo models. The distribution functions of the disorder-induced effective energy splitting between the two levels of the Kondo impurity are derived to…

Strongly Correlated Electrons · Physics 2009-10-31 Igor E. Smolyarenko , Ned S. Wingreen

Angle dependent magnetoresistance (ADMR) and giant Nernst effect are hallmarks of unconventional density waves (UDW). Here these transport properties for d-wave density wave (d-DW) are computed for quasi-two-dimensional systems. The present…

Strongly Correlated Electrons · Physics 2009-11-11 Balázs Dóra , Kazumi Maki , Attila Virosztek

We investigate one dimensional tight binding model in the presence of a correlated binary disorder. The disorder is due to the interaction of particles with heavy immobile other species. Off-diagonal disorder is created by means of a fast…

Disordered Systems and Neural Networks · Physics 2016-10-25 Arkadiusz Kosior , Jan Major , Marcin Płodzień , Jakub Zakrzewski

We investigate finite two-dimensional disordered systems with periodic confinement. At low energies, eigenstates exhibit strong Anderson localization, while at higher energies a subset of states exhibits variational scarring with…

Quantum Physics · Physics 2026-05-28 Fartash Chalangari , Anant Vijay Varma , Joonas Keski-Rahkonen , Esa Räsänen

Phase diagrams in the plane of $r_A$ (the average ionic radius, related to one-electron bandwidth $W$) and $\sigma^2$ (the ionic radius variance, measuring the quenched disorder), or ``bandwidth-disorder phase diagrams'', have been…

Materials Science · Physics 2007-05-23 R. Mathieu , M. Uchida , Y. Kaneko , J. P. He , X. Z. Yu , R. Kumai , T. Arima , Y. Tomioka , A. Asamitsu , Y. Matsui , Y. Tokura

We study the excitation spectrum of the $S=1/2$ Heisenberg model on the randomly diluted square lattice by analytic continuation of QMC data. At dilution fractions $p=1/16$ and $p=1/8$, the dynamic structure factor $S({\bf q},\omega)$…

Strongly Correlated Electrons · Physics 2025-05-27 Liuyun Dao , Hui Shao , Anders W. Sandvik