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We consider an infinite three-dimensional waveguide that far from the coordinate origin coincides with a cylinder. The waveguide has two narrows of diameter $\varepsilon$. The narrows play the role of effective potential barriers for the…

Mathematical Physics · Physics 2013-11-06 L. M. Baskin , B. A. Plamenevskii , O. V. Sarafanov

We measure tunneling through a single quantum level in a carbon nanotube quantum dot connected to resistive metal leads. For the electrons tunneling to/from the nanotube, the leads serve as a dissipative environment, which suppresses the…

Mesoscale and Nanoscale Physics · Physics 2010-10-08 Yu. Bomze , H. Mebrahtu , I. Borzenets , A. Makarovski , G. Finkelstein

It is shown that in a structure consisting of a superconducting ring-shaped electrode overlapped by a normal metal contact through a thin oxide barrier, measurements of the tunnel current in magnetic field can probe persistent currents in…

Superconductivity · Physics 2009-04-07 K. Yu. Arutyunov , T. T. Hongisto , D. Y. Vodolazov

We consider conductance mapping of systems based on the two-dimensional electron gas with scanning gate microscopy using two and more tips of the atomic force microscope. The paper contains results of numerical simulations for a model tip…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 K. Kolasiński , B. Szafran , B. Hackens

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

We present a new theoretical approach to describe the quantum behavior of a macroscopic system interacting with an external irradiation field, close to the resonant condition. Here we consider the extremely underdamped regime for a system…

Quantum Physics · Physics 2007-05-23 Yu. N. Ovchinnikov , S. Rombetto , B. Ruggiero , V. Corato , P. Silvestrini

We present a simple model of composite particle tunnelling through a rectangular potential barrier in presence of magnetic field. The exact numerical solution of the problem is provided and the applicability to real physical situations is…

Quantum Physics · Physics 2024-10-22 Bernard Faulend , Jan Dragašević

We derive a semiclassical formula for the tunneling current of electrons trapped in a potential well which can tunnel into and across a wide quantum well. The calculations idealize an experimental situation where a strong magnetic field…

Condensed Matter · Physics 2009-10-31 E. B. Bogomolny , D. C. Rouben

We have measured the tunneling between two two-dimensional electron gases (2DEGs) in weak magnetic fields, when the carrier densities of the two electron layers are matched. At zero magnetic field, B=0, the lineshape of the equilibrium…

Condensed Matter · Physics 2007-05-23 N. Turner , J. T. Nicholls , K. M. Brown , E. H. Linfield , M. Pepper , D. A. Ritchie , G. A. C. Jones

We study resonant tunneling through a single-level quantum dot in the presence of strong Coulomb repulsion beyond the perturbative regime. The level is either spin-degenerate or can be split by a magnetic field. We, furthermore, discuss the…

Condensed Matter · Physics 2009-10-28 Jürgen König , Jörg Schmid , Herbert Schoeller , Gerd Schön

Using the tip of a scanning probe microscope as a local electrostatic gate gives access to real space information on electrostatics as well as charge transport at the nanoscale, provided that the tip-induced electrostatic potential is well…

Mesoscale and Nanoscale Physics · Physics 2020-11-13 A. Iordanescu , S. Toussaint , G. Bachelier , S. Fallahi , C. G. Gardner , M. J. Manfra , B. Hackens , B. Brun

Quantum tunneling across double potential barriers is studied. With the assumption that the real space is a continuum, it is rigorously proved that large barriers of arbitrary shapes can be penetrated by low-energy particles with a…

Mesoscale and Nanoscale Physics · Physics 2024-02-02 Yong Yang

We consider the conductance of a one-dimensional wire interrupted by a double-barrier structure allowing for a resonant level. Using the electron-electron interaction strength as a small parameter, we are able to build a non-perturbative…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yu. V. Nazarov , L. I. Glazman

A scanning probe technique was used to obtain a high-resolution map of the random electrostatic potential inside the quantum Hall liquid. A sharp metal tip, scanned above a semiconductor surface, sensed charges in an embedded…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 G. Finkelstein , P. I. Glicofridis , R. C. Ashoori , M. Shayegan

We measure the frequency dependent capacitance of a gate covering the edge and part of a two-dimensional electron gas in the quantum Hall regime. In applying a positive gate bias, we create a metallic puddle under the gate surrounded by an…

Condensed Matter · Physics 2010-03-12 N. B. Zhitenev , M. Brodsky , R. C. Ashoori , M. R. Melloch

We measure the conductance of a quantum point contact (QPC) while the biased tip of a scanning probe microscope induces a depleted region in the electron gas underneath. At finite magnetic field we find plateaus in the real-space maps of…

Mesoscale and Nanoscale Physics · Physics 2014-03-17 Nikola Pascher , Clemens Rössler , Thomas Ihn , Klaus Ensslin , Christian Reichl , Werner Wegscheider

The persistent current for a one-dimensional ring with two tunnel barriers is considered in the limit of weakly interacting electrons. In addition to a small off-resonance current, there are two kinds of resonant behavior; (i) a current…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 I. V. Krive , P. Sandström

We investigate electron transport through a mono-atomic wire which is tunnel coupled to two electrodes and also to the underlying substrate. The setup is modeled by a tight-binding Hamiltonian and can be realized with a scanning tunnel…

Mesoscale and Nanoscale Physics · Physics 2010-11-25 Tomasz Kwapinski , Sigmund Kohler , Peter Hanggi

The tunneling between two parallel two-dimensional electron gases has been investigated as a function of temperature $T$, carrier density $n$, and the applied perpendicular magnetic field $B$. In zero magnetic field the equilibrium resonant…

Condensed Matter · Physics 2009-10-28 N. Turner , J. T. Nicholls , E. H. Linfield , K. M. Brown , G. A. C. Jones , D. A. Ritchie

A resolvent formalism is applied to the problem of inelastic scattering of an electron linearly coupled to a set of phonon modes. It is shown how the many phonon mode coupling and excitation can be reduced to a single phonon mode…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. A. Gata
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