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Using the method of energy-level statistics, the localization properties of electrons moving in two dimensions in the presence of a perpendicular random magnetic field and additional random disorder potentials are investigated. For this…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. Batsch , L. Schweitzer , B. Kramer

The new quantum state of a relativistic electron in a vacuum is described. It corresponds to an electron moving freely along a certain direction and being self-localized in a plane which is transverse to its momentum. This semi-localized…

Quantum Physics · Physics 2021-09-22 Tikhonenkov Igor

We show that 1D electron states confined at twin-grain-boundaries in MoSe$_{2}$ can be modeled by a three-orbital tight binding model including a minimum set of phenomenological hopping terms. The confined states are robust to the details…

Mesoscale and Nanoscale Physics · Physics 2019-04-10 Tilen Cadez , Linhu Li , Eduardo V. Castro , Jose M. P. Carmelo

We study the transport properties of two electrons in a quasi one-dimensional disordered wire. The electrons are subject to both, a disorder potential and a short range two-body interaction. Using the approach developed by Iida et al. […

Disordered Systems and Neural Networks · Physics 2009-11-07 Jean Richert , Hans A. Weidenmuller

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. We demonstrate that the notion of weak localization is applicable to the strongly correlated…

Disordered Systems and Neural Networks · Physics 2007-05-23 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We report results of a numerical study of noninteracting electrons moving in two dimensions, in the presence of a random potential and a random magnetic field for a sequence of finite sizes, using topological properties of the wave…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Kun Yang , R. N. Bhatt

Quantum descriptions of many complex systems are formulated most naturally in bases of states that are not mutually orthogonal. We introduce a general and powerful yet simple approach that facilitates solving such models exactly by…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eldon Emberly , George Kirczenow

This paper is dedicated to the study of the existence and the properties of electron-electron bound states in QED$_3$. A detailed analysis of the infrared structure of the perturbative series of the theory is presented. We start by…

High Energy Physics - Theory · Physics 2019-08-15 H. O. Girotti , M. Gomes , J. L. deLyra , R. S. Mendes , J. R. S. Nascimento , A. J. da Silva

We solve a two-body problem for electrons in a one-dimensional system to show that two-electron bound states can arise as a result of the image-potential-induced spin-orbit interaction (iSOI). The iSOI contributes an attractive component to…

Strongly Correlated Electrons · Physics 2020-02-12 Yasha Gindikin , Vladimir A. Sablikov

A classical particle under spatial constraints is strictly confined to live on a specific space manifold or path, but this assumption is incompatible with the zero-point fluctuations of a quantum particle. One way to describe quantum…

Quantum Physics · Physics 2026-04-03 Tim Bergmann , Benjamin Schwager , Jamal Berakdar

We theoretically investigate correlated electron-hole states in vertically coupled quantum dots. Employing a prototypical double-dot confinement and a configuration-interaction description for the electron-hole states, it is shown that the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Filippo Troiani , Ulrich Hohenester , Elisa Molinari

We have investigated electron transport in a quasi-one dimensional (quasi-1D) electron gas as a function of the confinement potential. At a particular potential configuration, and electron concentration, the ground state of a 1D quantum…

Introducing an epitaxial growth technique called corner overgrowth, we fabricate a quantum confinement structure consisting of a high-mobility GaAs/AlGaAs heterojunction overgrown on top of an ex-situ cleaved substrate corner. The resulting…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 M. Grayson , D. Schuh , M. Huber , M. Bichler , G. Abstreiter

The curvature effect on the electronic states of a deformed cylindrical conducting surface of variable diameter is theoretically investigated. The quantum confinement of electrons normal to the curved surface results in an effective…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Hisao Taira , Hiroyuki Shima

We developed the theory of elastic electron tunneling through a potential barrier driven by a strong high-frequency electromagnetic field. It is demonstrated that the driven barrier can be considered as a stationary two-barrier potential…

Mesoscale and Nanoscale Physics · Physics 2023-11-13 M. V. Boev , V. M. Kovalev , O. V. Kibis

This paper proposes a universal microscopic model for the shallow confinement regime of single-electron tunneling devices. We consider particle escape from a quantum well generically emerging as a bifurcation in a smooth electrostatic…

Mesoscale and Nanoscale Physics · Physics 2025-04-11 Austris Akmentinsh , Niels Ubbelohde , Vyacheslavs Kashcheyevs

A model system is considered where two dimensional electrons are confined by a harmonic potential in one direction, and are free in the other direction. Ground state in strong magnetic fields is investigated through numerical…

Condensed Matter · Physics 2009-10-22 Daijiro Yoshioka

The ballistic conductance through a device consisting of quantum wires, to which two stubs are attached laterally, is calculated assuming parabolic confining potentials of frequencies $\omega_w$ for the wires and $\omega_s$ for the stubs.…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 R. Akis , P. Vasilopoulos , P. Debray

We suggest a way of confining quasiparticles by an external potential in a small region of a graphene strip. Transversal electron motion plays a crucial role in this confinement. Properties of thus obtained graphene quantum dots are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. G. Silvestrov , K. B. Efetov

Some popular mechanisms for restricting the diffusion of waves include introducing disorder (to provoke Anderson localization) and engineering topologically non-trivial phases (to allow for topological edge states to form). However, other…

Mesoscale and Nanoscale Physics · Physics 2024-07-09 C. A. Downing , L. Martín-Moreno , O. I. R. Fox