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The Landauer approach to transport in mesoscopic conductors has been generalized to allow for strong electronic correlations in a single-channel quantum wire. We describe in detail how to account for external voltage sources in adiabatic…

Strongly Correlated Electrons · Physics 2009-10-31 Reinhold Egger , Hermann Grabert

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

In this work, analytical expressions for the Green function of a Luttinger liquid are derived with one and two mobile impurities (heavy particles) using a combination of bosonization and perturbative approaches. The calculations are done in…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Joy Prakash Das , Girish S. Setlur

We study a single impurity driven by a constant force through a 1D Bose gas using a Lieb-Liniger based approach. Our calculaton is exact in the interaction amongst the particles in the Bose gas, and is perturbative in the interaction…

Quantum Gases · Physics 2016-01-20 Claudio Castelnovo , Jean-Sébastien Caux , Steven H. Simon

We study electron and spin transport in interacting quantum wires contacted by noninteracting leads. We theoretically model the wire and junctions as an inhomogeneous chain where the parameters at the junction change on the scale of the…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Denis Morath , Nicholas Sedlmayr , Jesko Sirker , Sebastian Eggert

We study the effect that resistive regions have on the conductance of a quantum wire with interacting electrons which is connected to Fermi liquid leads. Using the bosonization formalism and a Rayleigh dissipation function to model the…

Mesoscale and Nanoscale Physics · Physics 2011-03-17 Abhiram Soori , Diptiman Sen

The single impurity problem in a spinful Tomonaga-Luttinger liquid is studied numerically using path-integral Monte Carlo methods. The advantage of our approach is that the system allows for extensive analyses of charge and spin conductance…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yuji Hamamoto , Ken-Ichiro Imura , Takeo Kato

We study transport properties in a Tomonaga-Luttinger liquid in the presence of two time-dependent point like weak impurities, taking into account finite-length effects. By employing analytical methods and performing a perturbation theory,…

Strongly Correlated Electrons · Physics 2012-04-27 Sebastián Franchino Viñas , Pablo Pisani , Mariano Salvay

The nonlinear Luttinger liquid phenomenology of one-dimensional correlated Fermi systems is an attempt to describe the effect of the band curvature beyond the Tomonaga-Luttinger liquid paradigm. It relies on the observation that the…

Strongly Correlated Electrons · Physics 2019-10-10 L. Markhof , M. Pletyukhov , V. Meden

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…

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 study theoretically the transport of the one-dimensional single-channel interacting electron gas through a strong potential barrier in the parameter regime where the spin sector of the low-energy Luttinger liquid theory is gapped by…

Strongly Correlated Electrons · Physics 2018-03-07 N. Kainaris , S. T. Carr , A. D. Mirlin

One-dimensional electron systems interacting with long-range Coulomb forces (quantum wires) show a Wigner crystal structure. We investigate in this paper the transport properties of such a Wigner crystal in the presence of impurities.…

Condensed Matter · Physics 2009-10-22 H. Maurey , T. Giamarchi

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 the backscattered current in a Luttinger liquid in the presence of a point like weak impurity switched on at finite time, taking into account finite-temperature effects. We show how the well-known results for a static impurity are…

Strongly Correlated Electrons · Physics 2010-06-07 Mariano J. Salvay , Hugo A. Aita , Carlos M. Naón

Metal microbridges with a high impurity content and shorter than the energy relaxation length are considered. Their conductance is calculated with allowance made for the Coulomb electron-electron interaction. It is shown that nonequilibrium…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 K. E. Nagaev

We study a steady state non-equilibrium transport between two interacting helical edge states of a two dimensional topological insulator, described by helical Luttinger liquids, through a quantum dot. For non-interacting dot the current is…

Strongly Correlated Electrons · Physics 2013-09-02 Sung-Po Chao , Salman A. Silotri , Chung-Hou Chung

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 present a general formulation of spin-dependent transport through a clean one-dimensional interacting quantum wire or carbon nanotube, connected to non-collinear ferromagnets via tunnel junctions. We show that the low energy description…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Leon Balents , Reinhold Egger

Power laws in physics have until now always been associated with a scale invariance originating from the absence of a length scale. Recently, an emergent invariance even in the presence of a length scale has been predicted by the…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Y. Jin , O. Tsyplyatyev , M. Moreno , A. Anthore , W. K. Tan , J. P. Griffiths , I. Farrer , D. A. Ritchie , L. I. Glazman , A. J. Schofield , C. J. B. Ford