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We study the disorder-induced localisation transition in a three-dimensional network model that belongs to symmetry class C. The model represents quasiparticle dynamics in a gapless spin-singlet superconductor without time-reversal…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. Ortuño , A. M. Somoza , J. T. Chalker

We study temperature induced metal-insulator transition in doped ferromagnetic semiconductors, described by s-d exchange model. The transition is a result of the mobility edge movement, the disorder being due to magnetic ions spin density…

Condensed Matter · Physics 2007-05-23 Eugene Kogan , Mark Auslender

The time evolution of one- and two-dimensional discrete-time quantum walk with increase in disorder is studied. We use spatial, temporal and spatio-temporal broken periodicity of the unitary evolution as disorder to mimic the effect of…

Quantum Physics · Physics 2013-05-17 C. M. Chandrashekar

Solutions of the wave equations for time-independent disordered media can exhibit Anderson localization where instead of wave propagation we observe their localization around different points in space. Photonic time crystals are spatially…

We consider the effect of weak disorder on eigenstates in a special class of tight-binding models. Models in this class have short-range hopping on periodic lattices; their defining feature is that the clean systems have some energy bands…

Disordered Systems and Neural Networks · Physics 2010-10-04 J. T. Chalker , T. S. Pickles , Pragya Shukla

We study Anderson localisation on high-dimensional graphs with spatial structure induced by long-ranged but distance-dependent hopping. To this end, we introduce a class of models that interpolate between the short-range Anderson model on a…

Disordered Systems and Neural Networks · Physics 2026-04-22 Bibek Saha , Sthitadhi Roy

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

We study Anderson localization of a scalar wave in an ensemble of resonant point scatterers embedded in an anisotropic background medium. For uniaxial anisotropy of moderate strength, the mobility edges and the critical exponent of the…

Disordered Systems and Neural Networks · Physics 2021-07-27 Antton Goïcoechea , John H. Page , Sergey E. Skipetrov

The interplay between local, repulsive interactions and disorder acting only on one spin orientation of lattice fermions ("spin-dependent disorder") is investigated. The nonmagnetic disorder vs. interaction phase diagram is computed using…

Disordered Systems and Neural Networks · Physics 2015-09-25 J. Skolimowski , D. Vollhardt , K. Byczuk

We study the dependence on the spatial dimensionality of different quantities relevant in the description of the Anderson transition by combining numerical calculations in a $3 \leq d \leq 6$ disordered tight binding model with theoretical…

Disordered Systems and Neural Networks · Physics 2009-11-11 Antonio M. Garcia-Garcia , Emilio Cuevas

Changes in the wavefunction's phase during propagation in a random Hermitian lattice, a process known as dephasing, results in diffusion rather than Anderson localization. However, when non-Hermiticity is introduced, the wave behavior…

Disordered Systems and Neural Networks · Physics 2025-04-29 Emmanouil T. Kokkinakis , Konstantinos G. Makris , Eleftherios N. Economou

We show that Anderson localization is possible in waveguide arrays with periodically-spaced defect waveguides having lower refractive index. Such localization is mediated by Bragg reflection, and it takes place even if diagonal or…

Anderson localization has been observed in various types of waves, such as matter waves, optical waves and acoustic waves. Here we reveal that the effect of Anderson localization can be also induced in metallic nonlinear nanoparticle arrays…

Optics · Physics 2016-07-29 Zhijie Mai , Fang Lin , Wei Pang , Haitao Xu , Suiyan Tan , Shenhe Fu , Yongyao Li

We develop a self-consistent theoretical approach to the dynamics of Anderson localization in open three-dimensional (3D) disordered media. The approach allows us to study time-dependent transmission and reflection, and the distribution of…

Disordered Systems and Neural Networks · Physics 2007-05-23 S. E. Skipetrov , B. A. van Tiggelen

Motivated by the link between Anderson localisation on high-dimensional graphs and many-body localisation, we study the effect of periodic driving on Anderson localisation on random trees. The time dependence is eliminated in favour of an…

Disordered Systems and Neural Networks · Physics 2021-03-31 Sthitadhi Roy , Roderich Moessner , Achilleas Lazarides

Disorder, ubiquitously present in solids, is normally detrimental to the stability of ordered states of matter. In this letter we demonstrate that not only is the physics of a strong topological insulator robust to disorder but, remarkably,…

Mesoscale and Nanoscale Physics · Physics 2010-12-03 H. -M. Guo , G. Rosenberg , G. Refael , M. Franz

We introduce a one-dimensional lattice model whose hopping amplitudes are modulated for equally spaced sites. Such mosaic lattice exhibits many interesting topological and localization phenomena that do not exist in the regular off-diagonal…

Disordered Systems and Neural Networks · Physics 2021-08-31 Qi-Bo Zeng , Rong Lü

The location of the mobility edge is a long standing problem in Anderson localization. In this paper, we show that the effective confining potential introduced in the localization landscape (LL) theory predicts the onset of delocalization…

Disordered Systems and Neural Networks · Physics 2024-05-24 Marcel Filoche , Pierre Pelletier , Dominique Delande , Svitlana Mayboroda

We study the localization properties of non-interacting waves propagating in a speckle-like potential superposed on a one-dimensional lattice. Using a decimation/renormalization procedure, we estimate the localization length for a…

Disordered Systems and Neural Networks · Physics 2015-05-30 Serpil Sucu , Saban Aktas , S. Erol Okan , Zehra Akdeniz , Patrizia Vignolo

We address the interplay between two fundamentally different wavepacket localization mechanisms, namely resonant dynamic localization due to collapse of quasi-energy bands in periodic media and disorder-induced Anderson localization.…