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One-dimensional quantized conductance is derived from the electrons in a homogeneous electric field by calculating the traveling time of the accelerated motion and the number of electrons in the one-dimensional region. As a result, the…

Mesoscale and Nanoscale Physics · Physics 2024-12-25 Daiju Terasawa

We consider quasiballistic electron transmission in a one-dimensional quantum wire subject to both time-independent and periodic potentials of a finger gate that results in a coordinate- and time-dependent Rashba-type spin-orbit coupling. A…

Mesoscale and Nanoscale Physics · Physics 2013-10-11 Almas F. Sadreev , E. Ya. Sherman

We study transport through multiply coupled carbon nano-tubes (quantum wires) and compute the conductances through the two wires as a function of the two gate voltages $g_1$ and $g_2$ controlling the chemical potential of the electrons in…

Mesoscale and Nanoscale Physics · Physics 2007-12-03 Sourin Das , Sumathi Rao

Minimal conductivity of a single undoped graphene layer is known to be of the order of the conductance quantum, independent of the electron velocity. We show that this universality does not survive electron-electron interaction which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. G. Mishchenko

We investigate the discrete spectrum of the Hamiltonian describing a quantum particle living in the two-dimensional curved strip. We impose the Dirichlet and Neumann boundary conditions on opposite sides of the strip. The existence of the…

Mathematical Physics · Physics 2009-11-07 Jaroslav Dittrich , Jan Kriz

Kondo effect in the vicinity of a singlet-triplet transition in a vertical quantum dot is considered. This system is shown to map onto a special version of the two-impurity Kondo model. At any value of the control parameter, the system has…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Pustilnik , L. I. Glazman

We study the effects of electron-electron interactions on the transport properties of a junction of three quantum wires enclosing a magnetic flux. The wires are modeled as single channel spin-1/2 Tomonaga-Luttinger liquids. The system…

Mesoscale and Nanoscale Physics · Physics 2009-01-22 Chang-Yu Hou , Claudio Chamon

We investigate tunneling through a short interacting wire. We identify two temperature regimes (a) $T_{Kondo}<T\le T^{wire}=\hbar v_F/k_Bd$ ($d$ is the length of the short wire) and (b) $T<T_{Kondo}\ll T^{wire}$. In the first regime the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 D. Schmeltzer , A. Saxena , A. R. Bishop , D. L. Smith

An unusual increase of the conductance with temperature is observed in clean quantum point contacts for conductances larger than 2e^2/h. At the same time a positive magnetoresistance arises at high temperatures. A model accounting for…

Mesoscale and Nanoscale Physics · Physics 2011-01-25 Vincent Thomas Francois Renard , O. A. Tkachenko , V. A. Tkachenko , T. Ota , N. Kumada , J. -C. Portal , Y. Hirayama

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

We consider resonant transmission through a finite-length quantum wire connected to leads via finite transparency junctions. The coherent electron transport is strongly modified by the Coulomb interaction. The low-temperature…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 N. B. Kopnin , Y. M. Galperin , V. M. Vinokur

As it is well known there may arise situations when an interaction between electrons is attractive. A weak attraction should manifest itself strongly in 1D systems, since it can create two-electron bound states. This paper interprets the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. V. Flambaum , M. Yu. Kuchiev

We have studied the weakly non-linear quantum transport properties of a two-dimensional quantum wire which can be solved exactly. The non-linear transport coefficients have been calculated and interesting physical properties revealed. In…

Condensed Matter · Physics 2009-10-28 Jian Wang , Qingrong Zheng , Hong Guo

The nonlinear conductance observed in a quantum point contact is theoretically reproduced for the entire range of applied bias. The single-impurity Anderson model with two reservoirs at different chemical potentials is studied for a…

Mesoscale and Nanoscale Physics · Physics 2013-01-25 Jongbae Hong

In a previous paper (Eur. Phys. J. B 30, 239-251 (2002)) we have presented the main features and properties of a simple model which -in spite of its simplicity- describes quite accurately the qualitative behaviour of a quantum wire. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jose M. Cervero , Alberto Rodriguez

The properties of conductance in one-dimensional (1D) quantum wires are statistically investigated using an array of 256 lithographically-identical split gates, fabricated on a GaAs/AlGaAs heterostructure. All the split gates are measured…

Mesoscale and Nanoscale Physics · Physics 2014-07-29 L. W. Smith , H. Al-Taie , F. Sfigakis , P. See , A. A. J. Lesage , B. Xu , J. P. Griffiths , H. E. Beere , G. A. C. Jones , D. A. Ritchie , M. J. Kelly , C. G. Smith

Sharp localization transitions of chiral edge states in disordered quantum wires, subject to strong magnetic field, are shown to be driven by crossovers from two- to one-dimensional localization of bulk states. As a result, the two-terminal…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Kettemann , B. Kramer , T. Ohtsuki

The impact of electronic correlation in nanoscale junctions, e.g. formed by single molecules, is analyzed using the single-impurity Anderson model. Numerically exact Quantum Monte Carlo calculations are performed to map out the orbital…

Materials Science · Physics 2008-01-17 Xin Wang , Catalin D. Spataru , Mark S. Hybertsen , Andrew J. Millis

We study the conductance of a quantum wire in the presence of weak electron-electron scattering. In a sufficiently long wire the scattering leads to full equilibration of the electron distribution function in the frame moving with the…

Mesoscale and Nanoscale Physics · Physics 2009-03-19 J. Rech , T. Micklitz , K. A. Matveev

Quantum point contacts exhibit mysterious conductance anomalies in addition to well known conductance plateaus at multiples of 2e^2/h. These 0.7 and zero-bias anomalies have been intensively studied, but their microscopic origin in terms of…

Mesoscale and Nanoscale Physics · Physics 2014-12-19 B. Brun , F. Martins , S. Faniel , B. Hackens , G. Bachelier , A. Cavanna , C. Ulysse , A. Ouerghi , U. Gennser , D. Mailly , S. Huant , V. Bayot , M. Sanquer , H. Sellier