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Quantum conductance fluctuations are investigated in disordered 3D topological insulator quantum wires. Both experiments and theory reveal a new transport regime in a mesoscopic conductor, pseudo-ballistic transport, for which ballistic…

Random matrix theory of the transition strengths is applied to transport in the strongly localized regime. The crossover distribution function between the different ensembles is derived and used to predict quantitatively the {\sl universal}…

Condensed Matter · Physics 2009-10-22 Y. Meir , O. Entin-Wohlman

Using numerical simulations and analytical approximations we study a modified version of the two-dimensional lattice model [R. Piasecki,phys. stat. sol. (b) 209, 403 (1998)] for random pH:(1-p)L systems consisting of grains of high (low)…

Materials Science · Physics 2015-06-24 R. Piasecki

Using a cutoff-free formulation of the coherent transport theory, we show that the interference terms at the origin of localization strongly affect the transport anisotropy. In contrast to the common hypothesis, we then find that the…

Disordered Systems and Neural Networks · Physics 2015-01-20 Marie Piraud , Laurent Sanchez-Palencia , Bart Van Tiggelen

The invariant imbedding evolution equations for the amplitude reflection and transmission coefficients of a disordered 1D chain are shown to follow from the continuum limit, for weak disorder, of recursion relations between reflection…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Heinrichs

We demonstrate that the E vs. k dispersion in the superconducting state extracted from momentum distribution curves differs qualitatively from the traditional dispersion extracted from energy distribution curves. This occurs because of a…

Superconductivity · Physics 2009-11-07 M. R. Norman , M. Eschrig , A. Kaminski , J. C. Campuzano

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

Unconventional superconductivity has been discovered in a variety of doped materials, including topological insulators, semimetals and twisted bilayers. A unifying property of these systems is strong orbital hybridization, which involves…

Superconductivity · Physics 2020-09-02 David Dentelski , Vladyslav Kozii , Jonathan Ruhman

The intensity distribution of electromagnetic polar waves in a chain of near-resonant weakly-coupled scatterers is investigated theoretically and supported by a numerical analysis. Critical scaling behavior is discovered for part of the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Sanli Faez , Ad Lagendijk , Alexander Ossipov

Disorder can fundamentally modify the transport properties of a system. A striking example is Anderson localization, suppressing transport due to destructive interference of propagation paths. In inhomogeneous many-body systems, not all…

Strong localization of light in three-dimensional disordered dielectric systems remains challenging to establish because it requires extremely strong recurrent scattering, while the long-lived localized contribution can be weak and masked…

Optics · Physics 2026-05-26 Yevgen Grynko , Jens Förstner

Using exact diagonalization technique, we investigate the many-body localization phenomenon in the 1D Heisenberg chain comparing several disorder models. In particular we consider a family of discrete distributions of disorder strengths and…

Disordered Systems and Neural Networks · Physics 2018-04-25 Jakub Janarek , Dominique Delande , Jakub Zakrzewski

The transport properties of disordered systems are known to depend critically on dimensionality. We study the diffusion coefficient of a quantum particle confined to a lattice on the surface of a tube, where it scales between the 1D and 2D…

Mesoscale and Nanoscale Physics · Physics 2016-05-18 Chern Chuang , Chee Kong Lee , Jeremy M. Moix , Jasper Knoester , Jianshu Cao

We study the transport behavior induced by a small bias voltage through a quantum dot connected to one-channel disordered wires by means of a quantum Monte Carlo method. We model the quantum dot by the Hubbard-Anderson impurity and the…

Strongly Correlated Electrons · Physics 2013-01-01 Alberto Camjayi , Liliana Arrachea

We develop a theory of the local density of states (LDOS) of disordered superconductors, employing the non-linear sigma-model formalism and the renormalization-group framework. The theory takes into account the interplay of disorder and…

Mesoscale and Nanoscale Physics · Physics 2016-08-09 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

By employing Random Matrix Theory (RMT) and first-principle calculations, we investigated the behavior of Anderson localization in 1D, 2D and 3D systems characterized by a varying disorder. In particular, we considered random binary layer…

Optics · Physics 2012-08-23 D. Molinari , A. Fratalocchi

We present a scattering theory of transport through noncollinear disordered magnetic insulators. For concreteness, we study and compare the random field model (RFM) and the random anisotropy model (RAM). The RFM and RAM are used to model…

Mesoscale and Nanoscale Physics · Physics 2019-10-30 Martin Fonnum Jakobsen , Alireza Qaiumzadeh , Arne Brataas

The cumulants of the logarithm of the conductance (lng) in the localized regime in the one-dimensional Anderson model are calculated exactly in the second Born approximation for weak disorder. Only the first two cumulants turn out to ne…

Disordered Systems and Neural Networks · Physics 2007-05-23 J. Heinrichs

We investigate the fidelity susceptibility, which quantifies the sensitivity of single-particle eigenstates to perturbations, in the three-dimensional Anderson model. As a function of disorder strength $W$, it exhibits two distinct peaks.…

Disordered Systems and Neural Networks · Physics 2026-05-26 Piotr Tokarczyk , Lev Vidmar , Anatoli Polkovnikov , Patrycja Łydżba

The scaling theory of Anderson localization is based on a global conductance $g_L$ that remains a random variable of order O(1) at criticality. One realization of such a conductance is the Landauer transmission for many transverse channels.…

Disordered Systems and Neural Networks · Physics 2009-07-21 Cecile Monthus , Thomas Garel