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We study the effect of electron-electron interactions on the transport in an inhomogeneous quantum wire. We show that contrary to the well-known Luttinger liquid result, non-uniform interactions contribute substantially to the resistance of…

Mesoscale and Nanoscale Physics · Physics 2008-02-19 J. Rech , K. A. Matveev

We study the transport properties of a long non-uniform quantum wire where the electron-electron interactions and the density vary smoothly at large length scales. We show that these inhomogeneities lead to a finite resistivity of the wire,…

Mesoscale and Nanoscale Physics · Physics 2008-04-08 J. Rech , K. A. Matveev

We use the technique of bosonization to understand a variety of recent experimental results on the conductivity of a quantum wire. The quantum wire is taken to be a finite-length Luttinger liquid connected on two sides to semi-infinite…

Strongly Correlated Electrons · Physics 2009-11-07 Siddhartha Lal , Sumathi Rao , Diptiman Sen

Recent advances in single atom manipulation have made it possible to create "wires" in the form of atomic scale linear structures on a semiconductor surface. If such structures are to be used in future electronic devices, it will be…

Strongly Correlated Electrons · Physics 2007-05-23 L. K. Dash , A. J. Fisher

We evaluate tunneling rates into/from a voltage biased quantum wire containing weak backscattering defect. Interacting electrons in such a wire form a true nonequilibrium state of the Luttinger liquid (LL). This state is created due to…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Stéphane Ngo Dinh , Dmitry A. Bagrets , Alexander D. Mirlin

We study the spatial decay of electron coherence due to electron-electron interaction in a finite-length disorder-free quantum wire. Based on the Luttinger liquid theory, we demonstrate that the coherence length characterizing the…

Mesoscale and Nanoscale Physics · Physics 2009-01-20 Jaeuk U. Kim , W. -R. Lee , Hyun-Woo Lee , H. -S. Sim

The inhomogeneous Tomonaga Luttinger liquid model describing an interacting quantum wire adiabatically coupled to non-interacting leads is analyzed in the presence of a weak impurity within the wire. Due to strong electronic correlations in…

Strongly Correlated Electrons · Physics 2007-05-23 Fabrizio Dolcini , Bjoern Trauzettel , Ines Safi , Hermann Grabert

Coherent electron transport through a quantum channel in the presence of a general extended scattering potential is investigated using a T-matrix Lippmann-Schwinger approach. The formalism is applied to a quantum wire with Gaussian type…

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. We demonstrate that the notion of weak localization is applicable to the strongly correlated…

Disordered Systems and Neural Networks · Physics 2007-05-23 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We study transport properties of weakly interacting one-dimensional electron systems including on an equal footing thermal equilibration due to three-particle collisions and the effects of large-scale inhomogeneities. We show that…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Alex Levchenko , Tobias Micklitz , Jerome Rech , K. A. Matveev

We study the transport properties of long quantum wires by generalizing the Luttinger liquid approach to allow for the finite lifetime of the bosonic excitations. Our theory accounts for long-range disorder and strong electron interactions,…

Strongly Correlated Electrons · Physics 2015-11-13 Wade DeGottardi , K. A. Matveev

We theoretically investigate the electron transport properties for a semiconductor quantum wire containing a single finite-size attractive impurity under an external terahertz electromagnetic field illumination in the ballistic limit.…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Guanghui Zhou , Yuan Li , Fang Cheng , Wenfu Liao

We study transport through a one-dimensional quantum wire of correlated fermions connected to semi-infinite leads. The wire contains either a single impurity or two barriers, the latter allowing for resonant tunneling. In the leads the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. Enss , V. Meden , S. Andergassen , X. Barnabe-Theriault , W. Metzner , K. Schoenhammer

In this paper we consider pairs of interacting electrons moving in a simple quantum wire, namely the half-line. In particular, we extend the results obtained in [arXiv:1708.03753] by allowing for contact interactions of the Lieb-Liniger…

Mathematical Physics · Physics 2018-06-14 Joachim Kerner

Electron transport in a quantum wire with leads is investigated with actual Coulomb interaction taken into account. The latter includes both the direct interaction of electrons with each other and their interaction via the image charges…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. A. Sablikov , B. S. Shchamkhalova

The recent progress on 1 D interacting electrons systems and their applications to study the transport properties of quasi one dimensional wires is reviewed. We focus on strongly correlated electrons coupled to low energy acoustic phonons…

Condensed Matter · Physics 2015-06-25 Thierry Martin

We investigate the transport properties of a quantum wire of weakly interacting fermions in the presence of local particle loss. We calculate current and conductance in this system due to applied external chemical potential bias that can be…

Statistical Mechanics · Physics 2024-11-18 Marcel Gievers , Thomas Müller , Heinrich Fröml , Sebastian Diehl , Alessio Chiocchetta

We examine the local density of states of an impurity level or a quantum dot coupled to a fractional quantum Hall edge, or to the end of a single one-dimensional Luttinger-liquid lead. Effects of an Ohmic dissipative bath are also taken…

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

We calculate the density of states for an interacting quantum wire in the presence two impurities of arbitrary potential strength. To perform this calculation, we describe the Coulomb interactions in the wire within the Tomonaga-Luttinger…

Mesoscale and Nanoscale Physics · Physics 2014-08-12 R. Zamoum , M. Guigou , C. Bena , A. Crépieux

We generalize the fermionic renormalization group method to describe analytically transport through a double barrier structure in a one-dimensional system. Focusing on the case of weakly interacting electrons, we investigate thoroughly the…

Strongly Correlated Electrons · Physics 2009-11-07 D. G. Polyakov , I. V. Gornyi
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