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We propose a new calculation of the DC conductance of a 1-dimensional electron system described by the Luttinger model. Our approach is based on the ideas of Landauer and B\"{u}ttiker and on the methods of current algebra. We analyse in…

Condensed Matter · Physics 2016-08-15 Anton Yu. Alekseev , Vadim V. Cheianov , Jürg Fröhlich

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 report on a diffusion Monte Carlo investigation of model electron systems in low dimensions, which should be relevant to the physics of systems obtainable nowadays in semiconductor heterostructures. In particular, we present results for…

Strongly Correlated Electrons · Physics 2007-05-23 A. Malatesta , Gaetano Senatore

We have studied the ground-state properties of para-hydrogen in one dimension and in quasi-one-dimensional configurations using the path integral ground state Monte Carlo method. This method produces zero-temperature exact results for a…

Other Condensed Matter · Physics 2017-03-08 G Ferre , M. C. Gordillo , J. Boronat

A criterion is given for topological stability of Abelian quantum Hall states, and of Luttinger liquids at the boundaries between such states; this suggests a selection rule on states in the quantum Hall hierarchy theory. The linear…

Condensed Matter · Physics 2016-08-31 F. D. M. Haldane

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

Thermodynamic and transport properties of a two dimensional circular quantum dot are studied theoretically at zero magnetic field. In the limit of a large confining potential, where the dot spectrum exhibits a shell structure, it is argued…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Paula Rojt , Yigal Meir , Assa Auerbach

With particular reference to the role of the renormalization group approach and Ward identities, we start by recalling some old features of the one-dimensional Luttinger liquid as the prototype of non-Fermi-liquid behavior. Its dimensional…

Strongly Correlated Electrons · Physics 2015-06-05 C. Di Castro , S. Caprara

We study a system consisting of a Luttinger liquid coupled to a quantum dot on the boundary. The Luttinger liquid is expressed in terms of fermions interacting via density-density coupling and the dot is modeled as an interacting resonant…

Strongly Correlated Electrons · Physics 2020-06-09 Colin Rylands , Natan Andrei

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…

Strongly Correlated Electrons · Physics 2009-11-13 P. Waechter , V. Meden , K. Schoenhammer

Hall and diagonal resistances of bilayer fractional quantum Hall systems are discussed theoretically. The bilayers have electrodes attached separately to each layer. They are assumed to be coupled weakly by interlayer tunneling, while the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Daijiro Yoshioka , Kentaro Nomura

Motivated by recent experiments on interacting cold atoms, we analyze interaction quenches in Luttinger liquids (LL), where the interaction is ramped from zero to a finite value within a finite time. The fermionic single particle density…

Strongly Correlated Electrons · Physics 2011-04-15 Balázs Dóra , Masudul Haque , Gergely Zaránd

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. We demonstrate that the notion of weak localization is applicable to the strongly correlated…

Disordered Systems and Neural Networks · Physics 2007-05-23 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

Luttinger liquid theory of one-dimensional quantum systems ignores exponentially weak backscattering of particles. This endows Luttinger liquids with superfluid properties. The corresponding two-fluid hydrodynamic description available at…

Mesoscale and Nanoscale Physics · Physics 2019-07-25 K. A. Matveev , A. V. Andreev

We have devised a general scheme that provides exact results for the scaling dimensions of all allowed in multi-channel Luttinger Liquids local perturbations. The technique developed provides universal description and establishes relations…

Strongly Correlated Electrons · Physics 2015-06-16 Igor V. Yurkevich

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

We investigate the Hall effect in a quasi one-dimensional system made of weakly coupled Luttinger Liquids at half filling. Using a memory function approach, we compute the Hall coefficient as a function of temperature and frequency in the…

Strongly Correlated Electrons · Physics 2007-12-04 G. León , C. Berthod , T. Giamarchi

We study a quantum phase transition which occurs in a system composed of two impurities (or quantum dots) each coupled to a different interacting (Luttinger-liquid) lead. While the impurities are coupled electrostatically, there is no…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Moshe Goldstein , Yuval Gefen , Richard Berkovits

We introduce a new model for quasi one-dimensional materials, motivated by intriguing but not yet well-understood experiments that have shown two-dimensional polymer films to be promising materials for thermoelectric devices. We consider a…

Strongly Correlated Electrons · Physics 2017-03-08 Aaron Szasz , Roni Ilan , Joel E. Moore

We study the dynamics resulting out of an abrupt change of the two-particle interaction in two models of closed one-dimensional Fermi systems: (a) the field theoretical Tomonaga-Luttinger model and (b) a microscopic lattice model. Using a…

Strongly Correlated Electrons · Physics 2013-10-23 D. M. Kennes , V. Meden