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The charge transport of a (Tomonaga-)Luttinger liquid with tunnel barriers exhibits universal scaling: the current-voltage curves measured at various temperatures collapse into a single curve upon rescaling. The exponent characterizing this…

Mesoscale and Nanoscale Physics · Physics 2019-11-25 Chen-Hsuan Hsu , Peter Stano , Yosuke Sato , Sadashige Matsuo , Seigo Tarucha , Daniel Loss

We show that 1D lattice models exhibit superdiffusive transport in the presence of random "nodal impurities" in the absence of interaction. Here a nodal impurity is defined as a localized state, the wave function of which has zeros (nodes)…

Mesoscale and Nanoscale Physics · Physics 2024-10-04 Yu-Peng Wang , Jie Ren , Chen Fang

We propose a formalism which uses boundary conditions imposed on the Luttinger liquid (LL) to describe the transport properties of a LL coupled to reservoirs. The various boundary conditions completely determine linear transport in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 K-V Pham , F. Piechon , K-I Imura , P. Lederer

We study systems made of periodic arrays of one dimensional quantum wires, coupled by Coulomb interaction. Using bosonization an interacting metallic fixed point is obtained, which is shown to be a higher dimensional analogue of the…

Strongly Correlated Electrons · Physics 2017-08-22 Shouvik Sur , Kun Yang

Transport of single-channel spinless interacting fermions (Luttinger liquid) through a barrier has been studied by numerically exact quantum Monte Carlo methods. A novel stochastic integration over the real-time paths allows for direct…

Condensed Matter · Physics 2009-10-28 Kevin Leung , Reinhold Egger , C. H. Mak

We present a time-dependent study of electron transport through a strongly correlated quantum dot. The time-dependent current is obtained with the multiple-probe battery method, while adiabatic lattice density functional theory in the Bethe…

Mesoscale and Nanoscale Physics · Physics 2013-02-06 A. Pertsova , M. Stamenova , S. Sanvito

We examine a one-dimensional linear waveguide array containing a single saturable waveguide. By using the formalism of lattice Green functions, we compute in closed form the localized mode and the transmission across the impurity in closed…

Pattern Formation and Solitons · Physics 2018-09-19 M. I. Molina

We present theoretical calculations and experimental measurements which reveal the Luttinger-liquid (LL) nature of elementary excitations in a system consisting of two quantum wires connected by a long narrow tunnel junction at the edge of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yaroslav Tserkovnyak , Bertrand I. Halperin , Ophir M. Auslaender , Amir Yacoby

We study the current produced in a Tomonaga-Luttinger liquid by an applied bias and by weak, point-like impurity potentials which are oscillating in time. We use bosonization to perturbatively calculate the current up to second order in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Amit Agarwal , Diptiman Sen

Electron backscattering in a Luttinger liquid with an impurity is investigated in the presence of zero point motion of the phonon lattice. The impurity can mean either a mass defect, an elastic defect or a pinning defect. The phonon…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Pablo San-Jose , Francisco Guinea , Thierry Martin

We develop a detailed analysis of electron transport in normal diffusive con- ductors in the presence of proximity induced superconductivity. A rich structure of temperature and energy dependencies for the system condcutcance, density of…

Condensed Matter · Physics 2007-05-23 A. D. Zaikin , F. K. Wilhelm , A. A. Golubov

We study one-dimensional hardcore lattice gases, with nearest-neighbor interactions, in the presence of an external potential barrier, that moves on the periodic lattice with a constant speed. We investigate how the nature of the…

Statistical Mechanics · Physics 2023-04-14 Deepsikha Das , Punyabrata Pradhan , Sakuntala Chatterjee

The conductance G of an interacting nano-wire containing an impurity and coupled to non-interacting semi-infinite leads is studied using a functional renormalization group method. We obtain results for microscopic lattice models without any…

Strongly Correlated Electrons · Physics 2009-11-10 V. Meden , S. Andergassen , W. Metzner , U. Schollwoeck , K. Schoenhammer

We consider a Luttinger liquid (LL) connected to two reservoirs when the two sample-reservoir interface resistances $R_{S}$ and $R_{D}$ are arbitrary (not necessarily quantized at half-the-quantum of resistance). We compute exactly the…

Strongly Correlated Electrons · Physics 2016-08-31 K. -V. Pham

We consider a two dimensional semiconductor with carriers subject to spin-orbit interactions and scattered by randomly distributed magnetic impurities. We solve the time-dependent Schroedinger equation to investigate the relationship…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 T. L. van den Berg , A. Verga

The problem of a single impurity in one dimensional Tomonaga-Luttinger liquids with a repulsive electron-electron interaction is discussed. We find that the renormalization group flow diagram for the parameters characterizing the impurity…

Condensed Matter · Physics 2017-02-08 Yuval Oreg , Alexander M. Finkel'stein

We investigate the stability of conducting and insulating phases in multichannel Luttinger liquids with respect to embedding a single impurity. We devise a general approach for finding critical exponents of the conductance in the limits of…

Strongly Correlated Electrons · Physics 2017-05-24 V. Kagalovsky , I. V. Lerner , I. V. Yurkevich

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

We study the dynamics of a heavy particle of mass $M$ moving in a one-dimensional repulsively interacting Fermi gas. The Fermi gas is described using the Luttinger model and bosonization. By transforming to a frame co-moving with the heavy…

Condensed Matter · Physics 2009-10-28 A. H. Castro Neto , Matthew P. A. Fisher

The influence of Coulomb interaction on the electron transport through molecular wires is studied in the regime of incoherent tunneling. In the limit of strong Coulomb repulsion, the current for spinless electrons is determined. It is shown…

Chemical Physics · Physics 2007-05-23 Jörg Lehmann , Gert-Ludwig Ingold , Peter Hänggi