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Electron transport through a single-level quantum dot weakly coupled to Luttinger liquid leads is considered in the master equation approach. It is shown that for a weak or moderately strong interaction the differential conductance…

Strongly Correlated Electrons · Physics 2013-02-06 G. A. Skorobagatko , I. V. Krive

We consider the problem of tunneling between spinless 1D Luttinger liquid chains. We show how to map the problem onto the 4-state chiral clock model together with a free boson for the total charge mode. We use a variety of results, some of…

Strongly Correlated Electrons · Physics 2011-07-19 Paul Fendley , Chetan Nayak

Recent experiments have revealed that the temperature dependence of the conductance of quasi-ballistic quantum wires bears clear features of the Luttinger-liquid state. In this paper, the conductance of an N-channel quantum wire is…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Nancy Sandler , Dmitrii L. Maslov

Recent advances in single atom manipulation have made it possible to create "wires" in the form of atomic scale linear structures on a semiconductor surface. If such structures are to be used in future electronic devices, it will be…

Strongly Correlated Electrons · Physics 2007-05-23 L. K. Dash , A. J. Fisher

A quantum Monte Carlo simulation method has been developed and applied to study the critical behavior of a single Kondo impurity in a Luttinger liquid. This numerically exact method has no finite-size limitations and allows to simulate the…

Strongly Correlated Electrons · Physics 2009-10-30 Reinhold Egger , Andrei Komnik

We study a one-dimensional interacting electron gas with the strong Rashba spin-orbit coupling and Zeeman splitting in a quantum well. A bosonization theory is developed for this system. The tunneling current may deviate from a simple power…

Strongly Correlated Electrons · Physics 2010-06-22 Yue Yu , Yuchuan Wen , Jinbin Li , Zhaobin Su , S. T. Chui

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

Strong repulsive interactions in a one-dimensional electron system suppress the exchange coupling J of electron spins to a value much smaller than the Fermi energy E_F. The conventional theoretical description of such systems based on the…

Mesoscale and Nanoscale Physics · Physics 2007-11-01 K. A. Matveev , A. Furusaki , L. I. Glazman

We consider systems of non-relativistic, interacting electrons at finite density and zero temperature in d = 2, 3, ... dimensions. Our main concern is to characterize those systems that, under the renormalization flow, are driven away from…

Condensed Matter · Physics 2007-05-23 Juerg Froehlich , Roland Goetschmann

A formalism is proposed to study the electron tunneling between extended states, based on the spin-boson Hamiltonian previously used in two-level systems. It is applied to analyze the out--of--plane tunneling in layered metals considering…

Strongly Correlated Electrons · Physics 2009-11-10 M. A. H. Vozmediano , M. P. Lopez-Sancho , F. Guinea

We present an extension of the Tomonaga-Luttinger model in which left and right-moving particles have different Fermi velocities. We derive expressions for one-particle Green's functions, momentum-distributions, density of states, charge…

Strongly Correlated Electrons · Physics 2016-08-16 Victoria I. Fernández , Aníbal Iucci , Carlos M. Naón

We study a model of one-dimensional fermionic atoms that can bind in pairs to form bosonic molecules. We show that at low energy, a coherence develops between the molecule and fermion Luttinger liquids. At the same time, a gap opens in the…

Other Condensed Matter · Physics 2007-05-23 R. Citro , E. Orignac

Although the concept of Luttinger liquid (LL) that describes a one-dimensional (1D) interacting fermion system collapses in higher dimensions, it has been proposed to be closely related to many mysteries including the normal state of…

Strongly Correlated Electrons · Physics 2022-12-06 X. Du , L. Kang , Y. Y. Lv , J. S. Zhou , X. Gu , R. Z. Xu , Q. Q. Zhang , Z. X. Yin , W. X. Zhao , Y. D. Li , S. M. He , D. Pei , Y. B. Chen , M. X. Wang , Z. K. Liu , Y. L. Chen , L. X. Yang

In this work, we show in pedagogical detail that the most singular contributions to the slow part of the asymptotic density-density correlation function of Luttinger liquids with fermions interacting mutually with only short-range forward…

Strongly Correlated Electrons · Physics 2020-10-09 Nikhil Danny Babu , Joy Prakash Das , Girish S. Setlur

We study the response of the interacting electron gas in one dimension on the local external potential. In the low frequency limit the power-law singularities are essentially modifyed by backscattering effects which, in the case of zero…

Condensed Matter · Physics 2009-10-22 N. V. Prokof'ev

Quantum dynamics is very sensitive to dimensionality. While two-dimensional electronic systems form Fermi liquids, one-dimensional systems -- Tomonaga-Luttinger liquids -- are described by purely bosonic excitations, even though they are…

One-dimensional bosonic systems, such as helium confined to nanopores, exhibit Luttinger liquid behavior characterized by density waves as collective excitations. We investigate the impact of a scattering potential on a low dimensional…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 Bernd Rosenow , Adrian Del Maestro

Between many prominent contributions of Markus Buttiker to mesoscopic physics, the scattering theory approach to the electron transport and noise stands out for its elegance, simplicity, universality, and popularity between theorists…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Eugene V. Sukhorukov

We study the influence of spin on the quantum interference of interacting electrons in a single-channel disordered quantum wire within the framework of the Luttinger liquid (LL) model. The nature of the electron interference in a spinful LL…

Strongly Correlated Electrons · Physics 2008-11-08 A. G. Yashenkin , I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We determine the one-particle spectral function and the corresponding derived quantities for the conducting chain lattice with the finite inter-chain hopping $t_\perp$ and the three-dimensional long-range Coulomb electron-electron…

Strongly Correlated Electrons · Physics 2009-11-13 Z Bonacic Losic , A Bjelis , P Zupanovic
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