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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

Resonant tunneling through a quantum dot weakly coupled to Tomonaga-Luttinger liquids is discussed. The linear conductance due to sequential tunneling is calculated by solving a master equation for temperatures below and above the average…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 A. Furusaki

We show that an instability may be present in resonant tunneling through a quantum well in one, two and three dimensions, when the resonance lies near the emitter Fermi level. A simple semiclassical model which simulates the resonance and…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 G. Obermair , J. Inkoferer , F. Claro

Our objective is to study resonant tunneling of an electron in the presence of inelastic scattering by optical phonons. Using a recently developed technique, based on exact mapping of a many-body problem onto a one-body problem, we compute…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. Haule , J. Bonca

A perturbation theory scheme in terms of electron hopping, which is based on the Wick theorem for Hubbard operators, is developed. Diagrammatic series contain single-site vertices connected by hopping lines and it is shown that for each…

Strongly Correlated Electrons · Physics 2009-10-31 A. M. Shvaika

We apply the bosonization technique to the problem of tunneling in a Fermi liquid, and present a semiclassical theory of tunneling rates. To test the method, we derive and evaluate an expression for the tunneling current in the problem of…

Condensed Matter · Physics 2007-05-23 L. S. Levitov , A. V. Shytov

The variable range hopping results for noninteracting electrons of Mott and Shklovskii are generalized to 1D disordered charge density waves and Luttinger liquids using an instanton approach. Following a recent paper by Nattermann,…

Strongly Correlated Electrons · Physics 2009-06-21 Sergey V. Malinin , Thomas Nattermann , Bernd Rosenow

We have analyzed Coulomb drag between currents of interacting electrons in two parallel one-dimensional conductors of finite length $L$ attached to external reservoirs. For strong coupling, the relative fluctuations of electron density in…

Condensed Matter · Physics 2009-10-31 Vadim Ponomarenko , Dmitri Averin

We study the tunneling current between two counterpropagating edge modes described by chiral Luttinger liquids when the tunneling takes place along an extended region. We compute this current perturbatively by using a tunnel Hamiltonian.…

Other Condensed Matter · Physics 2009-11-11 M. Aranzana , N. Regnault , Th. Jolicoeur

Table of contents 1. Introduction 2. Non-Fermi-liquid features of Fermi liquids: 1D physics in higher dimensions 3. Dzyaloshinskii-Larkin solution of the Tomonaga-Luttinger model 4. Renormalization group for interacting fermions 5. Single…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Dmitrii L. Maslov

The conductivity in quasi two-dimensional systems is calculated using the quantum kinetic equation. Linearizing the Lenard-Balescu collision integral with the extension to include external field dependences allows one to calculate the…

Strongly Correlated Electrons · Physics 2009-11-07 Klaus Morawetz

In this paper, we investigate tunneling of conduction band electrons in a system of an asymmetric double quantum dot which interacts with an environment. First, we consider the case in which the system only interacts with the environment…

Quantum Physics · Physics 2013-11-14 B. Ahmadi , S. Salimi , A. S. Khorashad

It is proposed two models describing transport and absorbtion processes that occur in nanoscale fragments of electrical circuits, pulled adsorbed molecules, atomic or molecular chains connecting electrodes. Discrete chain model of a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. N. Evteev , M. V. Moiseenko , E. V. Zhuravel , E. Ya. Glushko

We explore the characteristics of equilibrium tunneling of electrons from a 3D electrode into a high mobility 2D electron system. For most 2D Landau level filling factors, we find that tunneling can be characterized by a single,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. B. Chan , R. C. Ashoori , L. N. Pfeiffer , K. W. West

Tunneling, transport of particles through classically forbidden regions, is a pure quantum phenomenon. It governs numerous phenomena ranging from single-molecule electronics to donor-acceptor transition reactions. The main problem is the…

Quantum Physics · Physics 2017-10-13 Durmus Demir , Tugrul Guner

Time-dependent perturbations can drive a trivial two-dimensional band insulator into a quantum Hall-like phase, with protected nonequilibrium states bound to its edges. We propose an experiment to probe the existence of these topological…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 Benjamin M. Fregoso , Jan P. Dahlhaus , Joel E. Moore

An exact solution of non-stationary Schrodinger equation is obtained for a one-dimensional movement of electrons in an electromagnetic field with arbitrary intensity and frequency. Using it, the permeability coefficient is calculated for a…

Mesoscale and Nanoscale Physics · Physics 2012-10-09 M. V. Tkach , Ju. O. Seti , O. M. Voitsekhivska

In the present work, we start from a minimal Hamiltonian for Fermi systems where the s-wave scattering is the only low energy constant at play. Many-Body Perturbative approach that is usually valid at rather low density is first discussed.…

Nuclear Theory · Physics 2020-01-08 Antoine Boulet , Denis Lacroix

The paper addresses the problem whether and how it is possible to detect the Luttinger-liquid behavior from the $IV$ curves for tunneling to 1D or quasi-1D conductors. The power-law non-ohmic $IV$ curve, which is usually considered as a…

Mesoscale and Nanoscale Physics · Physics 2019-10-09 E. B. Sonin

The many-body wave-function of an interacting one-dimensional electron system is probed, focusing on the low-density, strong interaction regime. The properties of the wave-function are determined using tunneling between two long, clean,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 H. Steinberg , O. M. Auslaender , A. Yacoby , J. Qian , G. A. Fiete , Y. Tserkovnyak , B. I. Halperin , K. W. Baldwin , L. N. Pfeiffer , K. W. West