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We review the quantum interference effects in a system of interacting electrons confined to a quantum dot. The review starts with a description of an isolated quantum dot. We discuss the status of the Random Matrix theory (RMT) of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 I. L. Aleiner , P. W. Brouwer , L. I. Glazman

We propose a mixed analytical-ab-initio method for the accurate calculation of the conductance in monovalent atomic wires. The method relies on the most general formula for ballistic transport through a monovalent wire, whose parameters can…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 Péter Major , V. M. García-Suárez , S. Sirichantaropass , József Cserti , C. J. Lambert , J. Ferrer , Géza Tichy

Using bosonization we derive the dc conductance G(L,T) of an interacting quantum wire with good contacts including current relaxing backscattering and Umklapp processes. Our result yields the dependence of the conductance on length L and…

Strongly Correlated Electrons · Physics 2013-02-01 N. Sedlmayr , P. Adam , J. Sirker

We present a new robust setup that explains and demonstrates the quantum of electrical conductance for a general audience and which is continuously available in a public space. The setup allows users to manually thin a gold wire of several…

Popular Physics · Physics 2015-05-27 E. H. Huisman , F. L. Bakker , J. P. van der Pal , R. M. de Jonge , C. H. van der Wal

We study,numerically, the dynamical behavior of an electron in a two site nonlinear system driven by dc and ac electric field separately. We also study, numerically, the effect of electric field on single static impurity and antidimeric…

Disordered Systems and Neural Networks · Physics 2009-10-30 B. C. Gupta , P. A. Sreeram

The infuence of the conduction-electron spin magnetization density, induced in a two-dimensional electron layer by a microwave electromagnetic field, on the rejection and transmission of the field is considered. Because of the induced…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Victor M. Edelstein

The electron transport in a 1D conductor with an isolated local defect such as an impurity or a non-adiabatic contact is studied theoretically. New regime of conduction in correlated 1D systems is predicted beyond the well-known regime of…

Strongly Correlated Electrons · Physics 2015-10-01 S. N. Artemenko , P. P. Aseev , D. S. Shapiro , R. R. Vakhitov

We examine the impact of a complex absorbing potential on electron transport, both in the continuum and on a lattice. This requires the use of non-Hermitian Hamiltonians; the required formalism is briefly outlined. The lattice formulation…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Fatih Dogan , Wonkee Kim , C. M. Blois , F. Marsiglio

Electrical conduction is studied along parabolically confined quasi-one dimensional channels, in the framework of a revised linear-response theory, for elastic scattering. For zero magnetic field an explicit multichannel expression for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. Guillon , P. Vasilopoulos , C. M. Van Vliet

The light emission from a scanning tunneling microscope operated on a Ag(111) surface at 6 K is analyzed from low conductances to values approaching the conductance quantum. Optical spectra recorded at a sample voltages V reveal emission…

Mesoscale and Nanoscale Physics · Physics 2018-09-11 Peter-Jan Peters , Fei Xu , Kristen Kaasbjerg , Gianluca Rastelli , Wolfgang Belzig , Richard Berndt

We consider the effect of electron-electron interaction on the electron transport through a finite length single-mode quantum wire with reflectionless contacts. The two-particle scattering events cannot alter the electric current and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Anders Mathias Lunde , Karsten Flensberg , Leonid I. Glazman

A formalism for determining energy eigenstates of cylindrical lead salt quantum wires in the multiple-band envelope-function approximation is developed. Electron energy dispersion for quantum wire subbands within the conduction and valence…

Mesoscale and Nanoscale Physics · Physics 2013-01-15 Serguei V. Goupalov

A model quantum wire embedded in a matrix permeable to electron waves is investigated in terms of electronic states. The wire is assumed to have a 1D crystal structure. Through electron waves propagating in its surroundings, lateral modes…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jaroslaw Klos

The compressibility of a two-dimensional electron system with spin in a spatially correlated random potential and a quantizing magnetic field is investigated. Electron-electron interaction is treated with the Hartree-Fock method. Numerical…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alexander Struck , Bernhard Kramer

Short length quantum wires (quantum contacts) exhibit a conductance structure at the value of conductance close to 0.7 \times 2e^2/h. The structure is also called the conductance anomaly. In longer contacts the structure evolves to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 O. P. Sushkov

We calculate in a linear response the admittance of a quantum dot out of equilibrium. The interaction between two electrons with opposite spins simultaneously residing on the resonant level is modeled by an Anderson Hamiltonian. The…

Condensed Matter · Physics 2009-10-22 T. Ivanov , V. Valtchinov , L. T. Wille

We present a new model for the study of spin-orbit coupling in interacting quasi-one-dimensional systems and solve it exactly to find the spectral properties of such systems. We show that the combination of spin-orbit coupling and…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. V. Moroz , K. V. Samokhin , C. H. W. Barnes

We consider the conductance of a quantum tube connected to a metallic contact. The number of angular momentum states that the tube can support depends on the strength of the radial confinement. We calculate the transmission coefficients…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Niels Asger Mortensen , Kristinn Johnsen , Antti-Pekka Jauho , Karsten Flensberg

The non-linear current-voltage characteristic of a tunnel junction between two Luttinger systems is calculated for an interaction with finite range. Coulomb blockade features are found. The dissipative resistance, the capacitance and the…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Maura Sassetti , Gianaurelio Cuniberti , Bernhard Kramer

We propose a new calculation of the DC conductance of a 1-dimensional electron system described by the Luttinger model. Our approach is based on the ideas of Landauer and B\"{u}ttiker and on the methods of current algebra. We analyse in…

Condensed Matter · Physics 2016-08-15 Anton Yu. Alekseev , Vadim V. Cheianov , Jürg Fröhlich