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Related papers: Ballistic Localization in Quasi-1D Waveguides with…

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Electron transport in clean 2D systems with weak electron-phonon (e-ph) coupling can transition from an Ohmic to a ballistic or a hydrodynamic regime. The ballistic regime occurs when electron-electron (e-e) scattering is weak whereas the…

Mesoscale and Nanoscale Physics · Physics 2019-04-10 Mani Chandra , Gitansh Kataria , Deshdeep Sahdev , Ravishankar Sundaraman

We study numerically the localization properties of eigenstates in a one-dimensional random lattice described by a non-Hermitian disordered Hamiltonian, where both the disorder and the non-Hermiticity are inserted simultaneously in the…

Disordered Systems and Neural Networks · Physics 2020-01-08 Ba Phi Nguyen , Duy Khuong Phung , Kihong Kim

By combining computer simulations and a unit cell model approach, we study the apparent bimodality of local structural ordering in a system of confined hard disks. It is shown that a two-dimensional (2D) array of hard disks confined…

Soft Condensed Matter · Physics 2025-04-02 A. Trokhymchuk , T. Bryk , A. Huerta

The localization properties of electrons moving in a plane perpendicular to a spatially-correlated static magnetic field of random amplitude and vanishing mean are investigated. We apply the method of level statistics to the eigenvalues and…

Disordered Systems and Neural Networks · Physics 2007-05-23 H. Potempa , L. Schweitzer

We consider ultracold atoms in 2D-disordered optical potentials and calculate microscopic quantities characterizing matter wave quantum transport in the non-interacting regime. We derive the diffusion constant as function of all relevant…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. C. Kuhn , C. Miniatura , D. Delande , O. Sigwarth , C. A. Mueller

The weak localization (WL) contribution to the two-level correlation function is calculated for two-dimensional disordered conductors. Our analysis extends to the nondiffusive (ballistic) regime, where the elastic mean path is of order of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Assaf Ater , Oded Agam

We present the results of theoretical study of surface state properties in a two-dimensional model for triplet $p$-wave superconductors. We derive boundary conditions for Eilenberger equations at rough interfaces and develop the approach…

Superconductivity · Physics 2015-06-22 S. V. Bakurskiy , A. A. Golubov , M. Yu. Kupriyanov , K. Yada , Y. Tanaka

We study the effect of surface scattering on transport properties in many-mode conducting channels (electron waveguides). Assuming a strong roughness of the surface profiles, we show that there are two independent control parameters that…

Disordered Systems and Neural Networks · Physics 2009-11-10 F. M. Izrailev , N. M. Makarov , M. Rendon

In this paper, we experimentally demonstrate how discrete resonances can be used to image acoustic sources and mechanical changes in thin plates with different boundary shapes. The proposed method uses coupled numerical and experimental…

Applied Physics · Physics 2023-02-06 Martin Lott , Antonio S. Gliozzi , Federico Bosia

Introducing an axis of reflectional symmetry in a quasicrystal leads to the creation of localised edge modes that can be used to build waveguides. We develop theory that characterises reflection-induced localised modes in materials that are…

Mathematical Physics · Physics 2022-09-01 Bryn Davies , Richard V Craster

We theoretically study surface superconductivity in a nodal-line semimetal by combining a minimal tight-binding model with a layer-resolved Bogoliubov-de Gennes approach. In the normal state, the model realizes a bulk nodal loop and an…

Superconductivity · Physics 2026-03-23 Takeru Matsushima , Hiroki Tsuchiura

We study localization occurring during high speed shear deformations of metals leading to the formation of shear bands. The localization instability results from the competition among Hadamard instability (caused by softening response) and…

Analysis of PDEs · Mathematics 2019-02-25 Min-Gi Lee , Theodoros Katsaounis , Athanasios Tzavaras

We study steady-state properties of inelastic gases in two-dimensions in the presence of an energy source. We generalize previous hydrodynamic treatments to situations where high and low density regions coexist. The theoretical predictions…

Condensed Matter · Physics 2009-10-28 E. L. Grossman , T. Zhou , E. Ben-Naim

Disorder plays a crucial role in many systems particularly in solid state physics. However, the disorder in a particular system can usually not be chosen or controlled. We show that the unique control available for ultracold atomic gases…

Disordered Systems and Neural Networks · Physics 2009-11-11 T. Schulte , S. Drenkelforth , J. Kruse , R. Tiemeyer , K. Sacha , J. Zakrzewski , M. Lewenstein , W. Ertmer , J. J. Arlt

Intense work studying the ballistic regime of electron transport in two dimensional systems based on semiconductors and graphene had been thought to have established most of the key experimental facts of the field. In recent years, however,…

This paper investigates a distinctive spectral pattern exhibited by transmission eigenfunctions in wave scattering theory. Building upon the discovery in [7, 8] that these eigenfunctions localize near the domain boundary, we derive sharp…

Analysis of PDEs · Mathematics 2026-03-24 Yan Jiang , Hongyu Liu , Kai Zhang , Haoran Zheng

We study resonance patterns of a spiral-shaped dielectric microcavity with chaotic ray dynamics. Many resonance patterns of this microcavity, with refractive indices $n=2$ and 3, exhibit strong localization of simple geometric shape, and we…

Chaotic Dynamics · Physics 2009-11-10 Soo-Young Lee , Sunghwan Rim , Jung-Wan Ryu , Tae-Yoon Kwon , Muhan Choi , Chil-Min Kim

We discuss the localization behavior of localized electronic wave functions in the one- and two-dimensional tight-binding Anderson model with diagonal disorder. We find that the distributions of the local wave function amplitudes at fixed…

Disordered Systems and Neural Networks · Physics 2009-11-07 Jan W. Kantelhardt , Armin Bunde

We consider spaces of high-energy quasimodes for the Laplacian on a compact hyperbolic surface, and show that when the spaces are large enough, one can find quasimodes that exhibit strong localization phenomena. Namely, take any constant c,…

Spectral Theory · Mathematics 2011-11-08 Shimon Brooks

A recent theoretical breakthrough has brought a new tool, called \emph{localization landscape}, to predict the localization regions of vibration modes in complex or disordered systems. Here, we report on the first experiment which measures…