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We use an atomic force microscope tip as a local gate to study the scattering between edge channels in a 2D electron gas in the quantum Hall regime. The scattering is dominated by individual, microscopic scattering centers, which we…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Michael T. Woodside , Chris Vale , Paul L. McEuen , C. Kadow , K. D. Maranowski , A. C. Gossard

In this work we investigate the confining properties of charged particles of a Dirac material in the plane subject to an electrostatic potential well, that is, in an electric quantum dot. Our study focuses on the effect of mass and angular…

Quantum Physics · Physics 2025-09-17 S. Kuru , J. Negro , L. M. Nieto , L. Sourrouille

We consider a quantum dot described by a cylindrically symmetric 2D Dirac equation. The potentials representing the quantum dot are taken to be of different types of potential configuration, scalar, vector and pseudo-scalar to enable us to…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Youness Zahidi , Ahmed Jellal , Hocine Bahlouli , Mohammed El Bouziani

We have investigated the Fock-Darwin states of the massless chiral fermions confined in a graphitic parabolic quantum dot. In the light of the Klein tunneling, we have analyzed the condition for confinement of the Dirac fermions in a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Hong-Yi Chen , Vadim Apalkov , Tapash Chakraborty

We investigate electronic states in a two-dimensional network consisting of interacting quantum wires, a model adopted for twisted bilayer systems. We construct general operators which describe various scattering processes in the system. In…

Mesoscale and Nanoscale Physics · Physics 2023-09-22 Chen-Hsuan Hsu , Daniel Loss , Jelena Klinovaja

A double quantum dot is formed in a graphene nanoribbon device using three top gates. These gates independently change the number of electrons on each dot and tune the inter-dot coupling. Transport through excited states is observed in the…

Mesoscale and Nanoscale Physics · Physics 2010-05-13 Xing Lan Liu , Dorothee Hug , Lieven M. K. Vandersypen

Transmission of low-energetic electrons through two-dimensional materials leads to unique scattering resonances. These resonances contribute to photoemission from occupied bands where they appear as strongly dispersive features of…

Materials Science · Physics 2017-11-22 M. Krivenkov , D. Marchenko , J. Sánchez-Barriga , O. Rader , A. Varykhalov

Electron properties of graphene are described in terms of Dirac fermions. Here we thoroughly outline the elastic scattering theory for the two-dimensional massive Dirac fermions in the presence of an axially symmetric potential. While the…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 D. S. Novikov

Scattering of a 2D Dirac electrons on a rectangular matrix potential barrier is considered using the formalism of spinor transfer matrices. It is shown, in particular, that in the absence of the mass term, the Klein tunneling is not…

Mesoscale and Nanoscale Physics · Physics 2016-03-22 Mikhail Erementchouk , Pinaki Mazumder , M. A. Khan , Michael N. Leuenberger

Electrically controllable quantum coherence in quantum dot clusters and arrays based on graphene stripes with zigzag atomic edges (ZZ-stripes) is studied using the Dirac equation and S-matrix technique. We find that respective multiqubit…

Mesoscale and Nanoscale Physics · Physics 2023-01-25 S. E. Shafraniuk

We study inelastic energy relaxation in graphene for low energies to find out how electrons scatter with acoustic phonons and other electrons. By coupling the graphene to superconductors, we create a strong dependence of the measured…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Juha Voutilainen , Aurelien Fay , Pasi Häkkinen , Janne K. Viljas , Tero T. Heikkilä , Pertti J. Hakonen

We report the direct observation of polarization resolved electronic Raman scattering in a gated monolayer graphene device. The evolution of the electronic Raman scattering spectra with gate voltage and its polarization dependence are in…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 E. Riccardi , M. A. Measson , M. Cazayous , A. Sacuto , Y. Gallais

We report several quantum interference effects in graphene grown by chemical vapor deposition. A crossover between weak localization and weak antilocalization effects is observed when varying the gate voltage and we discuss the underlying…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Nam-Hee Kim , Yun-Sok Shin , Serin Park , Hong-Seok Kim , Jun Sung Lee , Chi Won Ahn , Jeong-O Lee , Yong-Joo Doh

We have developed a theoretical method to study scattering processes of an incident electron through an N-electron quantum dot (QD) embedded in a two-dimensional (2D) semiconductor. The generalized Lippmann-Schwinger equations including the…

Other Condensed Matter · Physics 2007-11-19 L. K. Castelano , G. -Q. Hai , M. -T. Lee

We study the in-gap states of the quantum dot hybridized to a conducting and superconducting electrode. The usual proximity effect suppresses electronic states over the entire subgap regime $|\omega| < \Delta$, where $\Delta$ denotes the…

Mesoscale and Nanoscale Physics · Physics 2013-10-14 J. Baranski , T. Domanski

The properties of scattering phases in quantum dots are analyzed with the help of lattice models. We first derive the expressions relating the different scattering phases and the dot Green functions. We analyze in detail the Friedel sum…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Levy Yeyati , M. Buttiker

We demonstrate that scattering of particles strongly interacting in three dimensions (3D) can be suppressed at low energies in a quasi-one-dimensional (1D) confinement. The underlying mechanism is the interference of the s- and p-wave…

Quantum Physics · Physics 2009-11-13 J. I. Kim , V. S. Melezhik , P. Schmelcher

We present theoretical results concerning inelastic light (Raman) scattering from semiconductor quantum dots. The characteristics of each dot state (whether it is a collective or single-particle excitation, its multipolarity, and its spin)…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Alain Delgado , Augusto Gonzalez , David J. Lockwood

We study finite-frequency quantum noise and photon-assisted electron transport through a wide and ballistic graphene sheet sandwiched between two metallic leads. The elementary excitations allow as to examine the differences between effects…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Jan Hammer , Wolfgang Belzig

Quantum dots are nanoscopic systems, where carriers are confined in all three spatial directions. Such nanoscopic systems are suitable for fundamental studies of quantum mechanics and are candidates for applications such as quantum…

Mesoscale and Nanoscale Physics · Physics 2016-03-16 Bahareh Goldozian , Fikeraddis A. Damtie , Gediminas Kiršanskas , Andreas Wacker