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We develop a theory of tunneling spectroscopy of interacting electrons in a non-equilibrium quantum wire coupled to reservoirs. The problem is modelled as an out-of-equilibrium Luttinger liquid with spatially dependent interaction. The…

Mesoscale and Nanoscale Physics · Physics 2009-07-09 D. B. Gutman , Yuval Gefen , A. D. Mirlin

The theoretical model of the short-range interacting Luttinger liquid predicts a power-law scaling of the density of states and the momentum distribution function around the Fermi surface, which can be readily tested through tunneling…

Strongly Correlated Electrons · Physics 2020-06-01 DinhDuy Vu , Anibal Iucci , Sankar Das Sarma

The temperature dependence of Coulomb blockade peaks of a one dimensional quantum dot is calculated. The Coulomb interaction is treated microscopically using the Luttinger liquid model. The electron interaction is assumed to be…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 T. Kleimann , M. Sassetti , B. Kramer

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 paper addresses the problem whether and how it is possible to detect the Luttinger-liquid behavior from the $IV$ curves for tunneling to 1D or quasi-1D conductors. The power-law non-ohmic $IV$ curve, which is usually considered as a…

Mesoscale and Nanoscale Physics · Physics 2019-10-09 E. B. Sonin

Tunneling spectroscopy of one-dimensional interacting wires can be profoundly sensitive to the boundary conditions of the wire. Here, we analyze the tunneling spectroscopy of a wire coupled to capacitive metallic leads. Strikingly, with…

Mesoscale and Nanoscale Physics · Physics 2019-04-03 Antonio Štrkalj , Michael S. Ferguson , Tobias M. R. Wolf , Ivan Levkivskyi , Oded Zilberberg

A novel method for detecting Luttinger-liquid behavior is proposed. The idea is to measure the tunneling conductance between a quantum wire and a parallel two-dimensional electron system as a function of both the potential difference…

Strongly Correlated Electrons · Physics 2009-10-31 Alexander Altland , C. H. W. Barnes , F. W. J. Hekking , A. J. Schofield

We revise a phase diagram for the sliding Luttinger liquid (SLL) of coupled one-dimensional quantum wires packed in two- or three-dimensional arrays. We analyse whether physically justifiable (reasonable) inter-wire interactions, i.e.…

Strongly Correlated Electrons · Physics 2018-05-09 Victor Fleurov , Victor Kagalovsky , Igor V. Lerner , Igor V. Yurkevich

We develop a linear theory of electron transport for a system of two identical quantum wires in a wide range of the wire length L, unifying both the ballistic and diffusive transport regimes. The microscopic model, involving the interaction…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 O. E. Raichev , P. Vasilopoulos

We consider electron transport through a quantum point contact between compressible Quantum Hall liquids and derive the contact's impedance function for both diffusive and ballistic regimes of the bulk electron motion. In either regime, the…

Condensed Matter · Physics 2007-05-23 D. V. Khveshchenko

We study tunneling between two nearby cleaved edge quantum wires in a perpendicular magnetic field. Due to Coulomb forces between electrons, the wires form a strongly-interacting pair of Luttinger liquids. We calculate the low-temperature…

Strongly Correlated Electrons · Physics 2009-11-07 D. Carpentier , C. Peca , L. Balents

One-dimensional (1D) electron systems in the presence of Coulomb interaction are described by Luttinger liquid theory. The strength of Coulomb interaction in the Luttinger liquid, as parameterized by the Luttinger parameter K, is in general…

Strongly Correlated Electrons · Physics 2017-06-21 Tobias Müller , Ronny Thomale , Björn Trauzettel , Erwann Bocquillon , Oleksiy Kashuba

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

We study transport through a quantum dot side-coupled to two parallel Luttinger liquid leads in the presence of a Coulombic dot-lead interaction. This geometry enables an exact treatment of the inter-lead Coulomb interactions. We find that…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Florian Elste , David Reichman , Andrew Millis

An interacting one-dimensional electron system, the Luttinger liquid, is distinct from the "conventional" Fermi liquids formed by interacting electrons in two and three dimensions. Some of its most spectacular properties are revealed in the…

We give a brief introduction to Luttinger liquids and to the phenomena of electronic transport or conductance in quantum wires. We explain why the subject of transport in Luttinger liquids is relevant and fascinating and review some…

Strongly Correlated Electrons · Physics 2009-10-31 Sumathi Rao

Motivated by recent tunneling experiments in the parallel wire geometry, we calculate results for momentum resolved tunneling into a short one-dimensional wire, containing a small number of electrons. We derive some general theorems about…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gregory A. Fiete , Jiang Qian , Yaroslav Tserkovnyak , Bertrand I. Halperin

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

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

The non-linear current-voltage characteristic of a tunnel junction between two Luttinger systems is calculated for an interaction with finite range. Coulomb blockade features are found. The dissipative resistance, the capacitance and the…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Maura Sassetti , Gianaurelio Cuniberti , Bernhard Kramer
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