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We prove an exact duality between the side-coupled and embedded geometries of a single level quantum dot attached to a quantum wire in a Luttinger liquid phase by a tunneling term and interactions. This is valid even in the presence of a…

Mesoscale and Nanoscale Physics · Physics 2011-01-20 Moshe Goldstein , Richard Berkovits

Charge and heat transport through a single molecule tunnel-coupled to external normal electrodes have been studied. The molecule with sufficiently strong interaction between lectrons and vibrational internal degrees of freedom can be…

Mesoscale and Nanoscale Physics · Physics 2012-04-16 Karol Izydor Wysokinski

We study theoretically the current-voltage characteristics, shot noise, and full counting statistics of a quantum wire double barrier structure. We model each wire segment by a spinless Luttinger liquid. Within the sequential tunneling…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jaeuk U. Kim , Mahn-Soo Choi , Ilya V. Krive , Jari M. Kinaret

We have measured the low temperature conductance of a one-dimensional island embedded in a single mode quantum wire. The quantum wire is fabricated using the cleaved edge overgrowth technique and the tunneling is through a single state of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 O. M. Auslaender , A. Yacoby , R. de Picciotto , K. W. Baldwin , L. N. Pfeiffer , K. W. West

We propose a theoretical model for the low-frequency noise observed in a quantum point contact (QPC) electrostatically defined in the 2D electron gas at a GaAs-AlGaAs interface. In such contacts electron scattering by soft impurity- or…

Condensed Matter · Physics 2009-10-22 J. P. Hessling , Yu. Galperin , M. Jonson , R. I. Shekhter , A. M. Zagoskin

We calculate the conductance through a quantum dot weakly coupled to metallic leads, modeled by the spin-1/2 Anderson model with finite Coulomb repulsion $U$. We adopt the non-crossing approximation method in its finite-$U$ extension…

Strongly Correlated Electrons · Physics 2009-11-07 D. Gerace , E. Pavarini , L. C. Andreani

Low-temperature thermal conductivity and thermopower of multiwalled carbon nanotubes considered within a bundle of nanotubes are calculated taking into account multiple scattering of electrons on the atoms of impurities (like single carbon…

High Energy Physics - Theory · Physics 2010-12-07 V. Egorushkin , N. Melnikova , A. Ponomarev , A. Reshetnyak

We demonstrate that in a wide range of temperatures Coulomb drag between two weakly coupled quantum wires is dominated by processes with a small interwire momentum transfer. Such processes, not accounted for in the conventional Luttinger…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Pustilnik , E. G. Mishchenko , L. I. Glazman , A. V. Andreev

Non-equilibrium bosonization technique is used to study current fluctuations of interacting electrons in a single-channel quantum wire representing a Luttinger liquid (LL) conductor. An exact expression for the full counting statistics of…

Strongly Correlated Electrons · Physics 2010-12-14 D. B. Gutman , Yuval Gefen , A. D. Mirlin

The electrical current through an arbitrary junction connecting quantum wires of spinless interacting fermions is calculated in fermionic representation. The wires are adiabatically attached to two reservoirs at chemical potentials…

Strongly Correlated Electrons · Physics 2014-12-09 D. N. Aristov , P. Wölfle

We study the transport through two impurities or ``barriers'' in a one-dimensional quantum wire, taking into account the long-range $\frac1r$ Coulomb interactions. We compute the temperature-dependent conductance $G(T)$ of this system.…

Condensed Matter · Physics 2009-10-28 Hélène Maurey , Thierry Giamarchi

The thermodynamic uncertainty relation (TUR) is expected to hold in nanoscale electronic conductors, when the electron transport process is quantum coherent and the transmission probability is constant (energy and voltage independent). We…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Hava Meira Friedman , Bijay Kumar Agarwalla , Ofir Shein-Lumbroso , Oren Tal , Dvira Segal

We investigate a one-dimensional electron liquid with two point scatterers of different strength. In the presence of electron interactions, the nonlinear conductance is shown to depend on the current direction. The resulting asymmetry of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. E. Feldman , S. Scheidl , V. M. Vinokur

The conductance for a single impurity in a one dimensional gas with electron-electron interaction and Zeeman splitting $v_F^\uparrow - v_F^\downarrow = \Delta \neq 0$ is considered. We find that for an extented Hubbard model,…

Strongly Correlated Electrons · Physics 2007-05-23 Hsuan-Yeh Chang , D. Schmeltzer

The non linear charge transfer through a tunnel junction between two Luttinger systems is studied for repulsive, finite range interaction between electrons on the same, V_{11}, and on different,V_{12}, sides of the junction. Features of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Maura Sassetti , Bernhard Kramer

We investigate how the conductance G through a clean interacting quantum wire is affected by the presence of contacts and noninteracting leads. The contacts are defined by a vanishing two-particle interaction to the left and a finite…

Strongly Correlated Electrons · Physics 2009-11-11 K. Janzen , V. Meden , K. Schoenhammer

Various causes for negative differential conductance in transport through an interacting double quantum dot are investigated. Particular focus is given to the interplay between the renormalization of the energy levels due to the coupling to…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Jonas Nyvold Pedersen , Benny Lassen , Andreas Wacker , Matthias H. Hettler

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

We study the quantum point contact between the topological superconductor and the helical Luttinger liquid. The effects of the electron-electron interactions in the helical Luttinger liquid on the low-energy physics of this system are…

Strongly Correlated Electrons · Physics 2015-06-18 Yu-Wen Lee , Yu-Li Lee

We review some of the recent results on equilibration of one-dimensional quantum liquids. The low-energy properties of these systems are described by the Luttinger liquid theory, in which the excitations are bosonic quasiparticles. At low…

Strongly Correlated Electrons · Physics 2013-12-10 K. A. Matveev