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Anderson localization is a consequence of coherent interference of multiple scattering events in the presence of disorder, which leads to an exponential suppression of the transmission. The decay of the transmission is typically probed at a…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 Hichem Eleuch , Michael Hilke , Richard MacKenzie

We derive the disorder vs. doping phase diagram of the doped Hubbard model via Dynamical Mean Field Theory combined with Typical Medium Theory, which allows the description of both Mott (correlation driven) and Anderson (disorder driven)…

Strongly Correlated Electrons · Physics 2021-06-24 Nathan Giovanni , Marcello Civelli , Maria C. O. Aguiar

We theoretically investigate the localization mechanism of the quantum anomalous Hall effect (QAHE) in the presence of spin-flip disorders. We show that the QAHE keeps quantized at weak disorders, then enters a Berry-curvature mediated…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Zhenhua Qiao , Ke Wang , Lei Zhang , Yulei Han , Xinzhou Deng , Hua Jiang , Shengyuan A. Yang , Jian Wang , Qian Niu

We consider Anderson localization and the associated metal-insulator transition for non-interacting fermions in D = 1, 2 space dimensions in the presence of spatially correlated on-site random potentials. To assess the nature of the…

Disordered Systems and Neural Networks · Physics 2014-08-05 Eric C. Andrade , Mark Steudtner , Matthias Vojta

The interplay between Mott and Anderson routes to localization in disordered interacting systems gives rise to different transitions and transport regimes. Here, we investigate the phase diagram at finite temperatures using dynamical mean…

Strongly Correlated Electrons · Physics 2015-09-25 Helena Braganca , M. C. O. Aguiar , J. Vucicevic , D. Tanaskovic , V. Dobrosavljevic

Reentrant localization (RL), a recently prominent phenomenon, traditionally links to the interplay of staggered correlated disorder and hopping dimerization, as indicated by prior research. Contrary to this paradigm, our present study…

Disordered Systems and Neural Networks · Physics 2025-02-05 Sudin Ganguly , Sourav Chattopadhyay , Kallol Mondal , Santanu K. Maiti

In this paper, we use recent breakthroughs in the study of coupled subwavelength resonator systems to reveal new insight into the mechanisms responsible for the fundamental features of Anderson localization. The occurrence strong…

Disordered Systems and Neural Networks · Physics 2023-07-21 Habib Ammari , Bryn Davies , Erik Orvehed Hiltunen

Anderson localization (AL) phenomena usually exists in systems with random potential. However, disorder-free quantum many-body systems with local conservation can also exhibit AL or even many-body localization transition. In this work, we…

Strongly Correlated Electrons · Physics 2020-10-20 Wei-Wei Yang , Lan Zhang , Xue-Ming Guo , Yin Zhong

Hyperbolic lattices, formed by tessellating the hyperbolic plane with regular polygons, exhibit a diverse range of exotic physical phenomena beyond conventional Euclidean lattices. Here, we investigate the impact of disorder on hyperbolic…

Disordered Systems and Neural Networks · Physics 2024-11-20 Tianyu Li , Yi Peng , Yucheng Wang , Haiping Hu

Disorder and non-Hermiticity dramatically impact the topological and localization properties of a quantum system, giving rise to intriguing quantum states of matter. The rich interplay of disorder, non-Hermiticity, and topology is…

Mesoscale and Nanoscale Physics · Physics 2022-06-15 Quan Lin , Tianyu Li , Lei Xiao , Kunkun Wang , Wei Yi , Peng Xue

We numerically analyze the energy level statistics of the Anderson model with Gaussian site disorder and constant hopping. The model is realized on different two-dimensional lattices, namely, the honeycomb, the kagom\'e, the square, and the…

Mesoscale and Nanoscale Physics · Physics 2015-11-20 Dayasindhu Dey , Manoranjan Kumar , Pragya Shukla

Models with correlated disorders are rather common in physics. In some of them, like the Aubry-Andr\'e (AA) model, the localization phase diagram can be found from the (self)duality with respect to the Fourier transform. In the others, like…

Disordered Systems and Neural Networks · Physics 2025-03-11 Shilpi Roy , Saurabh Basu , Ivan M. Khaymovich

Anderson model of noninteracting disordered electrons is studied in high spatial dimensions. We find that off-diagonal one- and two-particle propagators behave as gaussian random variables w.r.t. momentum summations. With this…

Disordered Systems and Neural Networks · Physics 2008-09-16 V. Janis , J. Kolorenc

Ground state of the periodic Anderson model on a triangular lattice is systematically investigated by the mean-field approximation. We found that the model exhibits two different types of partially disordered states: one is at half filling…

Strongly Correlated Electrons · Physics 2014-07-30 Satoru Hayami , Masafumi Udagawa , Yukitoshi Motome

We study non-interacting systems with a power-law quasiparticle dispersion $\xi_{\bf k}\propto k^\alpha$ and a random short-range-correlated potential. We show that, unlike the case of lower dimensions, for $d>2\alpha$ there exists a…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 S. V. Syzranov , V. Gurarie , L. Radzihovsky

Anderson transition in quasiperiodic potentials and the associated mobility edges have been a central focus in quantum simulation across multidisciplinary physical platforms. While these transitions have been experimentally observed in…

We observe a singularity in the electronic properties of the Anderson Model of Localization with bounded diagonal disorder, which is clearly distinct from the well-established mobility edge (localization-delocalization transition) that…

Disordered Systems and Neural Networks · Physics 2015-05-28 S. Johri , R. N. Bhatt

We present a numerical study of electromagnetic wave transport in disordered quasi-one-dimensional waveguides at terahertz frequencies. Finite element method calculations of terahertz wave propagation within LiNbO$_{3}$ waveguides with…

We investigate the Anderson localization in non-Hermitian Aubry-Andr\'e-Harper (AAH) models with imaginary potentials added to lattice sites to represent the physical gain and loss during the interacting processes between the system and…

Disordered Systems and Neural Networks · Physics 2017-06-26 Qi-Bo Zeng , Shu Chen , Rong Lü

We investigate numerically the effect of the competition of disorder, nonlinearity, and boundaries on the Anderson localization of light waves in finite-size, one-dimensional waveguide arrays. Using the discrete Anderson - nonlinear…

Optics · Physics 2015-06-03 M. I. Molina , N. Lazarides , G. P. Tsironis