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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…

Transport through two one-dimensional interacting metals (Luttinger liquids) coupled together at a single point is analyzed. The dominant coupling mechanism is shown to be of electrostatic nature. Describing the voltage sources by boundary…

强关联电子 · 物理学 2009-10-31 Andrei Komnik , Reinhold Egger

We consider a ring of strongly interacting electrons connected to two external leads by tunnel junctions. By studying the positions of conductance resonances as a function of gate voltage and magnetic flux the interaction parameter $g$ can…

介观与纳米尺度物理 · 物理学 2009-10-30 Jari M. Kinaret , Mats Jonson , Robert I. Shekhter , Sebastian Eggert

We study transport through two Luttinger liquids (one-dimensional electrons interacting through a Coulomb repulsion in a metal) coupled together at {\it two} points. External voltage biases are incorporated through boundary conditions. We…

强关联电子 · 物理学 2009-10-31 P. Durganandini , Sumathi Rao

We consider a one-dimensional electron system, suitable for the description of the electronic correlations in a metallic carbon nanotube. Renormalization group methods are used to study the low-energy behavior of the unscreened Coulomb…

强关联电子 · 物理学 2009-10-31 S. Bellucci , J. Gonzalez

We study the density disturbance of a correlated 1D electron liquid in the presence of a scatterer or a barrier. The 2k_F-periodic density profile away from the barrier (Friedel oscillation) is computed for arbitrary electron--electron…

凝聚态物理 · 物理学 2007-05-23 Reinhold Egger , Hermann Grabert

Luttinger liquid behavior of one-dimensional correlated electron systems is characterized by power-law scaling of a variety of physical observables with exponents determined by a single interaction dependent parameter K. We suggest a setup…

强关联电子 · 物理学 2007-10-23 P. Waechter , V. Meden , K. Schoenhammer

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…

强关联电子 · 物理学 2009-10-31 Alexander Altland , C. H. W. Barnes , F. W. J. Hekking , A. J. Schofield

We investigate the indirect interaction between two isolated impurities in a Luttinger liquid described by a microscopic lattice model. To treat the electron-electron interaction U the functional renormalization group method is used. For…

强关联电子 · 物理学 2009-11-13 P. Waechter , V. Meden , K. Schoenhammer

We study a simple model of a quantum Hall system with the electrons confined to a linear, narrow channel. The system is mapped to a 1D system which in the low-energy approximation has the form of a Luttinger liquid with different…

强关联电子 · 物理学 2009-11-13 Mats Horsdal , Jon Magne Leinaas

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…

强关联电子 · 物理学 2017-08-22 Shouvik Sur , Kun Yang

Although the intrinsic conductance of an interacting one-dimensional system is renormalized by the electron-electron correlations, it has been known for some time that this renormalization is washed out by the presence of the…

介观与纳米尺度物理 · 物理学 2018-04-27 Thomas Kloss , Joseph Weston , Xavier Waintal

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…

介观与纳米尺度物理 · 物理学 2015-05-14 Stéphane Ngo Dinh , Dmitry A. Bagrets , Alexander D. Mirlin

We consider the problem of screening of an electrically charged impurity in a clean graphene sheet. When electron-electron interactions are neglected, the screening charge has a sign opposite to that of the impurity, and is localized near…

强关联电子 · 物理学 2007-11-29 Rudro R. Biswas , Subir Sachdev , Dam T. Son

The transport properties of a tunnel barrier in a one-dimensional wire are investigated at finite voltages and temperatures. We generalize the Luttinger model to account for finite ranges of the interaction. This leads to deviations from…

介观与纳米尺度物理 · 物理学 2009-10-30 Margit Steiner , Wolfgang Häusler

With paying special attention to the divergence in the compressibility $\kappa$, we study the Coulombic screening in alkali metals to find singular long-range fluctuations in the electronic polarization originating from this divergence. As…

其他凝聚态物理 · 物理学 2007-06-28 Hideaki Maebashi , Yasutami Takada

It is shown that the conductance of a weakly disordered Luttinger-liquid quantum wire connected to non-interacting leads is affected by electron-electron interactions in the wire. This is in contrast to the case of a perfect wire the…

凝聚态物理 · 物理学 2009-10-28 Dmitrii L. Maslov

We suggest an experiment to study Luttinger liquid behavior in a one-dimensional nanostructure, avoiding the usual complications associated with transport measurements. The proposed setup consists of a quantum box, biased by a gate voltage,…

强关联电子 · 物理学 2007-05-23 Paata Kakashvili , Henrik Johannesson

The spinless fermion model with hard core repulsive potential extended on a few lattice sites is considered.The Luttinger liquid behaviour is studied for the different values of a hard core radius. A critical exponent of the one particle…

强关联电子 · 物理学 2009-11-07 Igor N. Karnaukhov , Alexander A. Ovchinnikov

We study how electron-electron interactions renormalize tunneling into a Luttinger liquid beyond the lowest order of perturbation in the tunneling amplitude. We find that the conventional fixed point has a finite basin of attraction only in…

强关联电子 · 物理学 2010-12-30 D. N. Aristov , A. P. Dmitriev , I. V. Gornyi , V. Yu. Kachorovskii , D. G. Polyakov , P. Wölfle