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The study reports on the first large statistics numerical experiment searching for rare eigenstates of anomalously high amplitudes in three-dimensional diffusive metallic conductors. Only a small fraction of a huge number of investigated…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Branislav K. Nikolic

We develop a theory of charge transport along the quantum Hall edge proximitized by a "dirty" superconductor. Disorder randomizes the Andreev reflection rendering the conductance of a proximitized segment a stochastic quantity with zero…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Vladislav D. Kurilovich , Zachary M. Raines , Leonid I. Glazman

Topological edge states arise at the interface of two topologically-distinct structures and have two distinct features: they are localized and robust against symmetry protecting disorder. On the other hand, conventional transport in one…

Mesoscale and Nanoscale Physics · Physics 2022-05-05 Jannatul Ferdous , Cem Yuce , Andrea Alù , Hamidreza Ramezani

In this work, we study long-time wave transport in correlated and uncorrelated disordered 2D arrays. When a separation of dimensions is applied to the model, we find that the predicted 1D random dimer phenomenology also appears in so-called…

Disordered Systems and Neural Networks · Physics 2015-02-11 Uta Naether , Cristian Mejía-Cortés , Rodrigo A. Vicencio

We investigate theoretically, the character of electronic eigenstates and transmission properties of a one dimensional array of stubs with Cantor geometry. Within the framework of real space re-normalization group (RSRG) and transfer matrix…

Disordered Systems and Neural Networks · Physics 2009-11-10 Sheelan Sengupta , Arunava Chakrabarti , Samar Chattopadhyay

The local density of states of a degenerate semiconductor is investigated at low magnetic fields. In order to realize this experiment, we designed a strongly asymmetric double-barrier heterostructure with heavily doped contacts and study…

Condensed Matter · Physics 2009-10-28 T. Schmidt , R. J. Haug , V. I. Fal'ko , K. v. Klitzing , A. Foerster , H. Lueth

The interplay of superconductivity and disorder generates a wealth of complex phenomena. In particular, the peculiar structure of diffusive electronic wavefunctions is predicted to increase the superconducting critical temperature in some…

Superconductivity · Physics 2023-05-17 Mathieu Lizée , Matthias Stosiek , Christophe Brun , Igor Burmistrov , Tristan Cren

We study the hopping transport of a quantum particle through finite, randomly diluted percolation clusters in two dimensions. We investigate how the transmission coefficient T behaves as a function of the energy E of the particle, the…

Statistical Mechanics · Physics 2007-05-23 E. Cuansing , H. Nakanishi

We consider a wave propagating through a thin disordered slab inside a wire or waveguide of finite width. In the dense weak scattering limit, the statistics for the complex reflection and transmission coefficients (the coherent field) is…

Optics · Physics 2014-10-23 Miztli Yépez , Saenz Juan Jose

Eigenstate multifractality is a distinctive feature of non-interacting disordered metals close to a metal-insulator transition, whose properties are expected to extend to superconductivity. While multifractality in three dimensions (3D)…

We developed a microscopic approach to calculate the sample-to-sample fluctuations of transmission distribution in disordered conductors. This bridges between Green's function and random matrix theories of quantum transport. The results…

Condensed Matter · Physics 2009-10-28 Yuli V. Nazarov

We study the spin transport properties of some disordered spin chains with a special focus on the distribution of the frequency-dependent spin conductivity. In the cases of interest here, the systems are governed by an effectively infinite…

Disordered Systems and Neural Networks · Physics 2024-01-30 L. F. C. Faria , Victor L. Quito , João C. Getelina , José A. Hoyos , E. Miranda

We analyse the anomalous properties of specific electronic states in the Kronig-Penney model with weak compositional and structural disorder. Using the Hamiltonian map approach, we show that the localisation length of the electronic states…

Disordered Systems and Neural Networks · Physics 2010-10-06 J. C. Hernández-Herrejón , F. M. Izrailev , L. Tessieri

We study numerically an electronic transport in strongly anisotropic weakly disorderd two-dimensional systems. We find that the conductance distribution is gaussian but the conductance fluctuations increase when anisotropy becomes stronger.…

Condensed Matter · Physics 2009-10-31 Peter Markos

Transmission of the scalar field through the random medium, represented by the system of randomly distributed dielectric cylinders is calculated numerically. System is mapped to the problem of electronic transport in disordered…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 P. Markos , C. M. Soukoulis

We study the conductivity of two-dimensional interacting electrons on the half-filled $N$th Landau level with $N \gg 1$ in the presence of the quenched disorder. The existence of the unidirectional charge-density wave state at temperature…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. S. Burmistrov

We point out that the transmission eigenvalue density and higher order correlation functions in chaotic cavities for an arbitrary number of incoming and outgoing leads $(N_1,N_2)$ are analytically known from the Jacobi ensemble of Random…

Mesoscale and Nanoscale Physics · Physics 2008-03-10 Pierpaolo Vivo , Edoardo Vivo

We study transport properties of a disordered tight-binding model (XX spin chain) in the presence of dephasing. Focusing on diffusive behavior in the thermodynamic limit at high energies, we analytically derive the dependence of…

Strongly Correlated Electrons · Physics 2013-03-05 Marko Znidaric , Martin Horvat

We have investigated the time-modulated coherent quantum transport phenomena in a ballistic open quantum dot. The conductance $G$ and the electron dwell time in the dots are calculated by a time-dependent mode-matching method. Under…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. S. Tang , Y. H. Tan , C. S. Chu

Mexican-hat-shaped quartic dispersion manifests itself in certain families of single-layer twodimensional hexagonal crystals such as compounds of groups III-VI and groups IV-V as well as elemental crystals of group V. Quartic band forms the…

Disordered Systems and Neural Networks · Physics 2023-08-07 Mustafa Polat , Hazan Özkan , Hâldun Sevinçli