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Related papers: Charge accumulation on a Luttinger liquid

200 papers

We study systems of coupled spin-gapped and gapless Luttinger liquids. First, we establish the existence of a sliding Luttinger liquid phase for a system of weakly coupled parallel quantum wires, with and without disorder. It is shown that…

Strongly Correlated Electrons · Physics 2009-11-07 Ranjan Mukhopadhyay , C. L. Kane , T. C. Lubensky

We compute the transport properties of one dimensional interacting electrons, also known as a Luttinger liquid. We show that a renormalization group study allows to obtain the temperature dependence of the conductivity in an intermediate…

Strongly Correlated Electrons · Physics 2015-06-24 T. Giamarchi , T. Nattermann , P. Le Doussal

Electron interactions reinforce minigaps induced in metallic nanotubes by an external field and turn the gap field dependence into a universal power law. An exactly solvable Gross-Neveau model with an SU(4) symmetry is derived for neutral…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 L. S. Levitov , A. M. Tsvelik

Coulomb interaction effects have pronounced consequences in carbon nanotubes due to their 1D nature. In particular, correlations imply the breakdown of Fermi liquid theory and typically lead to Luttinger liquid behavior characterized by…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 R. Egger , A. Bachtold , M. Fuhrer , M. Bockrath , D. Cobden , P. McEuen

We consider the two-terminal conductance of a one-dimensional Mott insulator undergoing the commensurate-incommensurate quantum phase transition to a conducting state. We treat the leads as Luttinger liquids. At a specific value of…

Mesoscale and Nanoscale Physics · Physics 2008-01-23 M. Garst , D. S. Novikov , Ady Stern , L. I. Glazman

Gate-voltage control of inter-edge tunneling at a split-gate constriction in the fractional quantum Hall regime is reported. Quantitative agreement with the behavior predicted for out-of-equilibrium quasiparticle transport between chiral…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Stefano Roddaro , Vittorio Pellegrini , Fabio Beltram , Giorgio Biasiol , Lucia Sorba

We perform a comprehensive study of charge excitations in a bilayer electron system in the presence of the long-range Coulomb interaction (LRC). Our major point is to derive formulae of the LRC that fully respect the bilayer lattice…

Strongly Correlated Electrons · Physics 2025-02-25 Hiroyuki Yamase

We have measured IV-curves of multiwalled carbon nanotubes using end contacts. At low voltages, the tunneling conductance obeys non-Ohmic power law, which is predicted both by the Luttinger liquid and the environment-quantum-fluctuation…

Mesoscale and Nanoscale Physics · Physics 2019-10-01 R. Tarkiainen , M. Ahlskog , J. Penttilä , L. Roschier , P. Hakonen , M. Paalanen , E. Sonin

Short length quantum wires (quantum contacts) exhibit a conductance structure at the value of conductance close to 0.7 \times 2e^2/h. The structure is also called the conductance anomaly. In longer contacts the structure evolves to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 O. P. Sushkov

We investigate the generic transport in a one-dimensional strongly correlated fermionic chain beyond linear response. Starting from a Gaussian wave packet with positive momentum on top of the ground state, we find that the numerical time…

Strongly Correlated Electrons · Physics 2025-07-24 Flávia B. Ramos , Rodrigo G. Pereira , Sebastian Eggert , Imke Schneider

We consider the edge transport properties of a generic class of interacting quantum Hall systems on a cylinder, in the infinite volume and zero temperature limit. We prove that the large-scale behavior of the edge correlation functions is…

Mathematical Physics · Physics 2022-10-05 Vieri Mastropietro , Marcello Porta

The current noise of a voltage biased interacting quantum wire adiabatically connected to metallic leads is computed in presence of an impurity in the wire. We find that in the weak backscattering limit the Fano factor characterizing the…

Strongly Correlated Electrons · Physics 2009-11-10 B. Trauzettel , I. Safi , F. Dolcini , H. Grabert

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 detailed theory for spin transport in a one-dimensional quantum wire described by Luttinger liquid theory. A hydrodynamic description for the quantum wire is supplemented by boundary conditions taking into account the exchange…

Strongly Correlated Electrons · Physics 2009-10-31 Leon Balents , Reinhold Egger

The Luttinger model of the one-dimensional Fermi gas is the cornerstone of modern understanding of interacting electrons in one dimension. In fact, the enormous class of systems whose universal behavior is adiabatically connected to it are…

Strongly Correlated Electrons · Physics 2007-05-23 Cristina Bena , Smitha Vishveshwara , Leon Balents , Matthew P. A. Fisher

Recent experiments have studied the tunneling current between the edges of a fractional quantum Hall liquid as a function of temperature and voltage. The results of the experiment are puzzling because at "high" temperature (600-900 mK) the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Roberto D'Agosta , Giovanni Vignale , Roberto Raimondi

A new non-Fermi-liquid state of quasi-one-dimensional conductors is suggested in which electronic system exists in a form of collection of bounded Luttinger liquids stabilized by impurities. This state is shown to be stable towards…

Strongly Correlated Electrons · Physics 2007-05-23 S. N. Artemenko , S. V. Remizov

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 influence of electron-phonon interactions on the DC-conductance $\Gamma $ of a quantum wire in the limit of one occupied subband. At zero temperature, a Tomonaga-Luttinger-like renormalization of $\Gamma $ to a value…

Condensed Matter · Physics 2009-10-28 Tobias Brandes , Arisato Kawabata

We develop a Luttinger liquid theory of the Coulomb drag of persistent currents flowing in concentric mesoscopic rings, by incorporating non-linear corrections to the electron dispersion relation. We demonstrate that at low temperatures,…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 T. V. Shahbazyan , S. E. Ulloa