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We compute the transport properties of one dimensional interacting electrons, also known as a Luttinger liquid. We show that a renormalization group study allows to obtain the temperature dependence of the conductivity in an intermediate…

Strongly Correlated Electrons · Physics 2015-06-24 T. Giamarchi , T. Nattermann , P. Le Doussal

We use a lattice Green function approach to study the stationary modes of a linear/nonlinear (Kerr) impurity embedded in a periodic one-dimensional lattice where we replace the standard discrete Laplacian by a fractional one. The energies…

Pattern Formation and Solitons · Physics 2021-10-27 Mario I. Molina

The electron transport through the parabolic quantum wire placed in longitudinal magnetic field in the presence of the system of short-range impurities inside the wire is investigated. Using approach based on the zero-range potential theory…

Mesoscale and Nanoscale Physics · Physics 2008-01-03 I. A. Kokurin , V. A. Margulis

The average charge Q on a quantum wire, modeled as a single-channel Luttinger liquid, connected to metallic leads and coupled to a gate is studied theoretically. We find that the behavior of the charge as the gate voltage V_G varies depends…

Strongly Correlated Electrons · Physics 2009-11-10 Jason Alicea , Leon Balents , Cristina Bena , Matthew P. A. Fisher

We investigate the effect of both strong and weak potential scattering caused by local impurities and extended (line) defects in the array of Luttinger liquid wires. We find that in both cases a finite range inter-wire interaction…

Strongly Correlated Electrons · Physics 2017-10-10 A. L. Chudnovskiy , V. Kagalovsky , I. V. Yurkevich

We describe some exact high-energy properties of a single Anderson impurity connected to two noninteracting leads in a nonequilibrium steady state. In the limit of high bias voltages, and also in the high-temperature limit at thermal…

Mesoscale and Nanoscale Physics · Physics 2013-10-21 Akira Oguri , Rui Sakano

We study theoretically two effects related to impurity depinning that are common for 1D Luttinger liquid (LL) and linear-chain CDW conductors. First, we consider the electron transport through a single impurity in a 1D conducting channel…

Strongly Correlated Electrons · Physics 2008-11-25 S. N. Artemenko , S. V. Remizov , D. S. Shapiro , R. R. Vakhitov

We consider scattering and transport in interacting quantum wires that are connected to leads. Such a setup can be represented by a minimal model of interacting fermions with inhomogeneities in the form of sudden changes in interaction…

Strongly Correlated Electrons · Physics 2012-09-10 N. Sedlmayr , J. Ohst , I. Affleck , J. Sirker , S. Eggert

We investigate the low-energy properties of (quasi) helical and fractional helical Luttinger liquids. In particular, we calculate the Drude peak of the optical conductivity, the density of states, as well as charge transport properties of…

Mesoscale and Nanoscale Physics · Physics 2014-01-24 Tobias Meng , Lars Fritz , Dirk Schuricht , Daniel Loss

More physics at the boundaries of a topological lattice remains to be explored for future applications of topological edge states. This work investigates the stability of topological edge states in the presence of a moving impurity. By…

Mesoscale and Nanoscale Physics · Physics 2026-01-23 Baikang Yuan , Jiangbin Gong

We devise an approach to the calculation of scaling dimensions of generic operators describing scattering within multi-channel Luttinger liquid. The local impurity scattering in an arbitrary configuration of conducting and insulating…

Strongly Correlated Electrons · Physics 2017-02-22 Igor V. Yurkevich

We study electronic transport in a Luttinger liquid (LL) with an embedded impurity, which is either a weak scatterer (WS) or a weak link (WL), when interacting electrons are coupled to one-dimensional massless bosons (e.g., acoustic…

Strongly Correlated Electrons · Physics 2013-04-02 Igor V. Yurkevich , Alexey Galda , Oleg M. Yevtushenko , Igor V. Lerner

We study a Luttinger Liquid in a finite one-dimensional wire with box-like boundary conditions by considering the local distribution of the single particle spectral weight. This corresponds to the experimental probability of extracting a…

Strongly Correlated Electrons · Physics 2009-11-10 Fabrizio Anfuso , Sebastian Eggert

We investigate transport through a tunnelling junction between an uncorrelated metallic lead and a Luttinger liquid when the latter is subjected to a time dependent perturbation. The tunnelling current as well as the electron energy…

Strongly Correlated Electrons · Physics 2009-11-07 Andrei Komnik , Alexander O. Gogolin

Ballistic transport of helical edge modes in two-dimensional topological insulators is protected by time-reversal symmetry. Recently it was pointed out [1] that coupling of non-interacting helical electrons to an array of randomly…

Mesoscale and Nanoscale Physics · Physics 2015-12-31 O. M. Yevtushenko , A. Wugalter , V. I. Yudson , B. L. Altshuler

We study correlated quantum wires subject to harmonic modulation of the onsite-potential concentrating on the limit of large times, where the response of the system has synchronized with the drive. We identify the ratio…

Strongly Correlated Electrons · Physics 2018-01-10 D. M. Kennes

We study quantum transport in Q1D wires made of a 2D conductor of width W and length L>>W. Our aim is to compare an impurity-free wire with rough edges with a smooth wire with impurity disorder. We calculate the electron transmission…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 J. Feilhauer , M. Mosko

We show that electron transport through a long multichannel wire, connected to leads by tunnel junctions, at low temperatures and voltages is dominated by inelastic cotunnelling. This mechanism results in experimentally observed power-law…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 M. V. Feigelman , A. S. Ioselevich

We develop a kinetic theory for strongly correlated disordered one-dimensional electron systems out of equilibrium, within the Luttinger liquid model. In the absence of inhomogeneities, the model exhibits no relaxation to equilibrium. We…

Strongly Correlated Electrons · Physics 2009-09-25 D. A. Bagrets , I. V. Gornyi , D. G. Polyakov

Transport through a one-dimensional wire of interacting electrons connected to semi infinite leads is investigated using a bosonization approach. The dynamic nonlocal conductivity is rigorously expressed in terms of the transmission. For…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Inès Safi , H. J. Schulz