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We report a new attractive critical point occurring in the Anderson localization scaling flow of symplectic models on fractals. The scaling theory of Anderson localization predicts that in disordered symplectic two-dimensional systems weak…

Mesoscale and Nanoscale Physics · Physics 2016-10-19 Doru Sticlet , Anton Akhmerov

The spectral statistics of complex networks are numerically studied. The features of the Anderson metal-insulator transition are found to be similar for a wide range of different networks. A metal-insulator transition as a function of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Sade , T. Kalisky , S. Havlin , R. Berkovits

The phenomenon of localization is usually accompanied with the presence of quenched disorder. To what extent disorder is necessary for localization is a well-known open problem. In this paper, we prove the instability of localization in…

Disordered Systems and Neural Networks · Physics 2020-01-06 Yichen Huang , Aram W. Harrow

The Anderson transition in three dimensions in a randomly varying magnetic flux is investigated in detail by means of the transfer matrix method with high accuracy. Both, systems with and without an additional random scalar potential are…

Disordered Systems and Neural Networks · Physics 2009-10-31 T. Kawarabayashi , B. Kramer , T. Ohtsuki

We study analytically and numerically the Anderson model in one dimension with "stealthy" disorder, defined as having a power spectrum that vanishes in a continuous band of wave numbers. Motivated by recent studies on the optical…

Disordered Systems and Neural Networks · Physics 2026-04-15 Carlo Vanoni , Jonas Karcher , Mikael C. Rechtsman , Boris L. Altshuler , Paul J. Steinhardt , Salvatore Torquato

We present two complementary simulations that lead to an exploration of Anderson localization, a phenomenon in which wave diffusion is suppressed in disordered media by interference from multiple scattering. To build intuition, the first…

Disordered Systems and Neural Networks · Physics 2026-01-06 Jake S. Bobowski

By employing Random Matrix Theory (RMT) and first-principle calculations, we investigated the behavior of Anderson localization in 1D, 2D and 3D systems characterized by a varying disorder. In particular, we considered random binary layer…

Optics · Physics 2012-08-23 D. Molinari , A. Fratalocchi

In a disordered environment, the probability of transmission of a wave reduces with increasing disorder, the ultimate limit of which is the near-zero transmission due to Anderson localization. Under localizing conditions, transport is…

Disordered Systems and Neural Networks · Physics 2022-06-14 Himadri Sahoo , R Vijay , Sushil Mujumdar

We study the Anderson model of localization with anisotropic hopping in three dimensions for weakly coupled chains and weakly coupled planes. The eigenstates of the Hamiltonian, as computed by Lanczos diagonalization for systems of sizes up…

Condensed Matter · Physics 2016-08-15 Frank Milde , Rudolf A. Römer , Michael Schreiber

In disordered systems, our present understanding of the Anderson transition is hampered by the possible presence of interactions between particles. We demonstrate that in boson gases, even weak interactions deeply alter the very nature of…

Disordered Systems and Neural Networks · Physics 2014-05-21 Nicolas Cherroret , Benoît Vermersch , Jean Claude Garreau , Dominique Delande

We study the three-dimensional Anderson model of localization with anisotropic hopping, i.e., weakly coupled chains and weakly coupled planes. In our extensive numerical study we identify and characterize the metal-insulator transition by…

Disordered Systems and Neural Networks · Physics 2016-08-15 Frank Milde , Rudolf A. Römer , Michael Schreiber , Ville Uski

We investigate the three-dimensional Anderson model of localization via a modified transfer-matrix method in the presence of scale-free diagonal disorder characterized by a disorder correlation function $g(r)$ decaying asymptotically as…

Disordered Systems and Neural Networks · Physics 2007-05-23 Macleans L. Ndawana , Rudolf A. Roemer , Michael Schreiber

Tailoring charge transport in solids on demand is the overarching goal of condensed-matter research as it is crucial for electronic applications. Yet, often the proper tuning knob is missing and extrinsic factors such as impurities and…

Disordered Systems and Neural Networks · Physics 2024-12-05 M. Parzer , F. Garmroudi , A. Riss , T. Mori , A. Pustogow , E. Bauer

Motivated by current interest in disordered systems of interacting electrons, the effectiveness of the geometrically averaged density of states, $\rho_g(\omega)$, as an order parameter for the Anderson transition is examined. In the context…

Strongly Correlated Electrons · Physics 2009-11-11 Yun Song , W. A. Atkinson , R. Wortis

The Anderson localization transition is considered at finite temperatures. This includes the electrical conductivity as well as the electronic thermal conductivity and the thermoelectric coefficients. An interesting critical behavior of the…

Disordered Systems and Neural Networks · Physics 2015-05-18 Yoseph Imry , Ariel Amir

We investigate the transition induced by disorder in a periodically-driven one-dimensional model displaying quantized topological transport. We show that, while instantaneous eigenstates are necessarily Anderson localized, the periodic…

Disordered Systems and Neural Networks · Physics 2020-01-01 Matteo M. Wauters , Angelo Russomanno , Roberta Citro , Giuseppe E. Santoro , Lorenzo Privitera

We investigate localization properties in the highly anisotropic and intrinsically disordered layered material, which is analogous to high-Tc cuprates. By varying the anisotropy of the system which is parameterized by the interlayer hopping…

Condensed Matter · Physics 2009-10-28 Y. Zha , D. Z. Liu

The three-dimensional Anderson model with a rectangular distribution of site disorder displays two distinct localization-delocalization transitions, against varying disorder intensity, for a relatively narrow range of Fermi energies. Such…

Disordered Systems and Neural Networks · Physics 2016-08-31 S. L. A. de Queiroz

We discovered novel Anderson localization behaviors of pseudospin systems in a 1D disordered potential. For a pseudospin-1 system, due to the absence of backscattering under normal incidence and the presence of a conical band structure, the…

Disordered Systems and Neural Networks · Physics 2017-04-20 Anan Fang , Zhao-Qing Zhang , Steven G. Louie , C. T. Chan

We study the Anderson-type localisation-delocalisation transition found previously in the QCD Dirac spectrum at high temperature. Using high statistics QCD simulations with $N_f=2+1$ flavours of staggered quarks, we discuss how the change…

High Energy Physics - Lattice · Physics 2013-12-09 Matteo Giordano , Tamas G. Kovacs , Ferenc Pittler
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