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We examine the localization properties of the Anderson Hamiltonian with additional off-diagonal disorder using the transfer-matrix method and finite-size scaling. We compute the localization lengths and study the metal-insulator transition…

Disordered Systems and Neural Networks · Physics 2015-06-24 P. Biswas , P. Cain , R. A. Roemer , M. Schreiber

A model Hamiltonian is proposed in order to understand the localization-delocalization transition in a quantum dot, where there are two gate voltages: top and side. Considering energetically favorable degrees of freedom only, we achieve a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Myung-Hoon Chung

We present a perturbative approach to disordered systems in one spatial dimension that accesses the full range of phase disorder and clarifies the connection between localization and phase information. We consider a long chain of…

Disordered Systems and Neural Networks · Physics 2024-03-04 Adrian B. Culver , Pratik Sathe , Rahul Roy

We present here a model of carrier distribution and transport in semiconductor alloys accounting for quantum localization effects in disordered materials. This model is based on the recent development of a mathematical theory of quantum…

Materials Science · Physics 2017-04-20 Marcel Filoche , Marco Piccardo , Yuh-Renn Wu , Chi-Kang Li , Claude Weisbuch , Svitlana Mayboroda

We introduce an efficient neural network (NN) architecture for classifying wave functions in terms of their localization. Our approach integrates a versatile quantum phase space parametrization leading to a custom 'quantum' NN, with the…

We consider a noninteracting disordered system designed to model particle diffusion, relaxation in glasses, and impurity bands of semiconductors. Disorder originates in the random spatial distribution of sites. We find strong numerical…

Disordered Systems and Neural Networks · Physics 2015-03-17 Jacob J. Krich , Alán Aspuru-Guzik

We review recent work on the random hopping problem in a quasi-one-dimensional geometry of N coupled chains (quantum wire with off-diagonal disorder). Both density of states and conductance show a remarkable dependence on the parity of N.…

Disordered Systems and Neural Networks · Physics 2015-06-24 P. W. Brouwer , C. Mudry , A. Furusaki

We investigate the localization of electrons hopping on quasi-1D strips in the presence of random magnetic field. In the weak-disorder region, by perturbative analytical techniques, we derive scaling laws for the localization length,…

Condensed Matter · Physics 2009-10-28 Yakov Rutman , Mario Feingold , Yshai Avishai

The transfer matrix method is applied to quasi one-dimensional and one-dimensional disordered systems with long-range interactions, described by band random matrices. We investigate the convergence properties of the whole Lyapunov spectra…

Disordered Systems and Neural Networks · Physics 2007-05-23 T. Kottos , A. Politi , F. M. Izrailev

A simulation study demonstrates that localization can arise as the result of the breakdown of stable quasi-crystal-like atomic configurations. Samples produced at elevated quench rates and via more energetic processes contain a lower…

Materials Science · Physics 2007-05-23 Yunfeng Shi , Michael L. Falk

Bandstructure effects in PMOS transport of strongly quantized silicon nanowire field-effect-transistors (FET) in various transport orientations are examined. A 20-band sp3d5s* spin-orbit-coupled (SO) atomistic tight-binding model coupled to…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Neophytos Neophytou , Abhijeet Paul , Gerhard Klimeck

We elucidate the different mechanisms of wave localisation in disordered finite systems of subwavelength resonators, where the disorder is in the spatial arrangement of the resonators. To do so, we employ the capacitance matrix formalism…

Disordered Systems and Neural Networks · Physics 2025-07-10 Habib Ammari , Silvio Barandun , Alexander Uhlmann

We study localization properties of continuously monitored dynamics and associated measurement-induced phase transitions in disordered quantum many-body systems on the basis of the quantum trajectory approach. By calculating the fidelity…

Statistical Mechanics · Physics 2023-06-09 Kazuki Yamamoto , Ryusuke Hamazaki

The spatial localization of quantum states plays a central role in condensed-matter phenomena, ranging from many-body localization to topological matter. Building on the dissipation-fluctuation theorem, we propose that the localization…

Mesoscale and Nanoscale Physics · Physics 2019-11-20 Tomoki Ozawa , Nathan Goldman

We study the hopping transport of a quantum particle through randomly diluted percolation clusters in two dimensions realized both on the square and triangular lattices. We investigate the nature of localization of the particle by…

Disordered Systems and Neural Networks · Physics 2007-09-27 Md Fhokrul Islam , Hisao Nakanishi

Using the eigen-decomposition method, we investigated the plasmonic modes in a two-dimensional quasicrystalline array of metal nanoparticles. Various properties of the plasmonic modes, such as their symmetry, radiation loss and spatial…

Optics · Physics 2010-11-02 Jian-Wen Dong , Kin Hung Fung , C. T. Chan , He-Zhou Wang

Localization lengths of superconducting quasiparticles $\lambda_s$ are evaluated and compared with the corresponding normal state values $\lambda_n$ in one and two dimensional lattices. The effect of superconducting correlation on the…

Condensed Matter · Physics 2009-10-28 Tao Xiang

When one applies a type of non-Hermitian effect, constant imaginary vector potential, to disordered systems, delocalization is induced even in two or lower dimension. By using the non-Hermitian induced transition as a probe, We propose a…

Disordered Systems and Neural Networks · Physics 2017-10-23 Tsunenao Kuwae , Nobuhiko Taniguchi

The diagrammatic approach is applied to study quasiparticle transport properties in two-dimensional d-wave superconductors with dilute nonmagnetic impurities both in Born and in unitary limits. It is found that a novel quantum interference…

Superconductivity · Physics 2009-11-07 Y. H. Yang , D. Y. Xing , M. Liu , Y. G. Wang

The obstruction to constructing localized degrees of freedom is a signature of several interesting condensed matter phases. We introduce a localization renormalization procedure that harnesses this property, and apply our method to…

Mesoscale and Nanoscale Physics · Physics 2024-04-01 Bartholomew Andrews , Dominic Reiss , Fenner Harper , Rahul Roy
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