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We study Anderson localization of massless Dirac electrons in two dimensions in one-dimensional random scalar and vector potentials theoretically for two different cases, in which the scalar and vector potentials are either uncorrelated or…

Disordered Systems and Neural Networks · Physics 2019-01-24 Seulong Kim , Kihong Kim

We show that a one dimensional disordered conductor with correlated disorder has an extended state and a Landauer resistance that is non-zero in the limit of infinite system size in contrast to the predictions of the scaling theory of…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 Onuttom Narayan , Harsh Mathur , Richard Montgomery

We study localisation effects of strong disorder on the spectral and dynamical properties of (matrix and scalar) Schroedinger operators with non-monotone random potentials, on the d-dimensional lattice. Our results include dynamical…

Mathematical Physics · Physics 2016-11-18 Alexander Elgart , Mira Shamis , Sasha Sodin

Floquet engineering, which involves controlling systems through time-periodic driving, is a method for coherently manipulating quantum materials and realizing dynamical states with novel functionalities. Most research in solid-state systems…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 Sota Kitamura , Takashi Oka

Anderson localization marks a halt of diffusive wave propagation in disordered systems. Despite extensive studies over the past 40 years, Anderson localization of light in three dimensions has remained elusive, leading to the question of…

We present a detailed theoretical study of the effects of structural disorder on LN photonic crystal slab cavities, ranging from short to long length scales, using a fully-3D Bloch mode expansion technique. We compute the optical density of…

Disordered Systems and Neural Networks · Physics 2018-05-09 J. P. Vasco , Stephen Hughes

Anderson localization is ubiquitous in wavy systems with strong static and uncorrelated disorder. The delicate destructive interference underlying Anderson localization is usually washed out in the presence of temporal fluctuations or…

Disordered Systems and Neural Networks · Physics 2025-03-25 Stefano Longhi

Wave propagation in disordered media can be strongly modified by multiple scattering and wave interference. Ultimately the so-called Anderson-localized regime is reached when the waves become strongly confined in space. So far, Anderson…

We show that due to the Landau band mixing the eigenstate localization within the disordered bands get an asymmetric structure: the degree of localization increases in the lower part of the band and decreases in the upper one. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Aldea , M. Nita

We address Anderson localization in disordered honeycomb photonic lattices and show that the localization process is strongly affected by the spectral position of the input wavepacket within the first Brillouin zone of the lattice. In spite…

The phenomenon of Anderson localization is studied for a class of one-particle Schr\"odinger operators with random Zeeman interactions. These operators arise as follows: Static spins are placed randomly on the sites of a simple cubic…

Disordered Systems and Neural Networks · Physics 2015-05-27 Daniel Egli , Jürg Fröhlich , Hans-Rudolf Ott

A recent experiment [Nadj-Perge et al., Science 346, 602 (2014)] gives possible evidence for Majorana bound states in chains of magnetic adatoms placed on a superconductor. While many features of the observed end states are naturally…

Mesoscale and Nanoscale Physics · Physics 2015-03-18 Yang Peng , Falko Pientka , Leonid I. Glazman , Felix von Oppen

We study both analytically and numerically phonon transmission fluctuations and localization in partially ordered superlattices with correlations among neighboring layers. In order to generate a sequence of layers with a varying degree of…

Materials Science · Physics 2009-10-22 Norihiko Nishiguchi , Shin-ichiro Tamura , Franco Nori

We demonstrate the presence of energy dependent fluctuations in the localization length, which depend on the disorder distribution. These fluctuations lead to Ensemble Averaged Conductance Fluctuations (EACF) and are enhanced by large…

Disordered Systems and Neural Networks · Physics 2009-11-13 M. Hilke

We show that tunneling and localization properties of interacting ultracold atoms in an optical lattice can be controlled by adiabatically turning on a fast oscillatory force even in the presence of disorder. Our calculations are based on…

Quantum Gases · Physics 2012-10-22 J. Santos , R. A. Molina , J. Ortigoso , M. Rodriguez

We calculated numerically the localization length of one-dimensional Anderson model with correlated diagonal disorder. For zero energy point in the weak disorder limit, we showed that the localization length changes continuously as the…

Disordered Systems and Neural Networks · Physics 2012-03-09 Zongguo Wang , Shaojing Qin , Kai Kang , Chuilin Wang

It is well known that Anderson transition is a disorder-induced metal-insulator transition.Contrary to this conventional wisdom, some investigations have shown that disorders could destroy the phase coherence of localized modes in…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Haiteng Wang , Weixuan Zhang , Houjun Sun , Xiangdong Zhang

We solve the Anderson localization problem on a two-leg ladder by the Fokker-Planck equation approach. The solution is exact in the weak disorder limit at a fixed inter-chain coupling. The study is motivated by progress in investigating the…

Disordered Systems and Neural Networks · Physics 2012-07-19 Hong-Yi Xie , Vladimir E. Kravtsov , Markus Müller

We study the Wannier-Stark (WS) localization in one-dimensional amplitude-chirped lattices with the $j$th onsite potential modulated by a function $Fj\cos(2\pi \alpha j)$, where $F$ is the external field with a period determined by…

Disordered Systems and Neural Networks · Physics 2023-09-22 Qi-Bo Zeng , Bo Hou , Han Xiao

We discuss the dynamics of particles in one dimension in potentials that are random both in space and in time. The results are applied to recent optics experiments on Anderson localization, in which the transverse spreading of a beam is…

Disordered Systems and Neural Networks · Physics 2013-08-30 Yevgeny Krivolapov , Liad Levi , Shmuel Fishman , Mordechai Segev , Michael Wilkinson