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Transport properties of a single-channel Luttinger liquid impinging on a barrier have been studied for $g=1/2 - \epsilon$, where $g$ is the dimensionless interaction constant and $|\epsilon| \ll 1$. The relevant diagrams contributing to the…

Condensed Matter · Physics 2007-05-23 R. Egger , M. Sassetti , U. Weiss

Two chains of Luttinger liquids coupled by both interchain hopping and interchain interaction are investigated. A degeneracy of two kinds of dominant states with in phase and out of phase ordering in the absence of the hopping is removed…

Condensed Matter · Physics 2009-10-28 Hideo Yoshioka , Yoshikazu Suzumura

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

We study the tunneling current through a mesoscopic two-terminal ring with spin-orbit coupling, which is threaded by a magnetic flux. The electron-electron interaction in the ring is described in terms of a Tomonaga-Luttinger model which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Pletyukhov , V. Gritsev , N. Pauget

We present a general formulation of spin-dependent transport through a clean one-dimensional interacting quantum wire or carbon nanotube, connected to non-collinear ferromagnets via tunnel junctions. We show that the low energy description…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Leon Balents , Reinhold Egger

In contrast to the well known Fermi liquid theory of three dimensions, interacting one-dimensional and quasi one-dimensional systems of fermions are described at low energy by an effective theory known as Luttinger liquid theory. This…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Gregory A. Fiete

I discuss origin and possible experimental manifestations of charge-spin separation in 1D Luttinger and Luther-Emery liquids, the latter describing 1D Mott and Peierls insulators and superconductors. Emphasis is on photoemission where the…

Strongly Correlated Electrons · Physics 2007-05-23 Johannes Voit

We study tunneling of weakly-interacting spinless electrons at zero temperature through a single delta-barrier in one-dimensional wires and rings of finite lengths. Our numerical calculations are based on the self-consistent Hartree-Fock…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Andrej Gendiar , Martin Mosko , Pavel Vagner , Radoslav Nemeth

The chiral Luttinger liquid model for the edge dynamics of a two-dimensional electron gas in a strong magnetic field is derived from coarse-graining and a lowest Landau level projection procedure at arbitrary filling factors $\nu<1$ --…

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

We study the conductance through finite Aharonov-Bohm rings of interacting electrons weakly coupled to non-interacting leads at two arbitrary sites. This model can describe an array of quantum dots with a large charging energy compared to…

Strongly Correlated Electrons · Physics 2009-10-15 Julián Rincón , A. A. Aligia , K. Hallberg

In one-dimensional electronic systems with strong repulsive interactions, charge excitations propagate much faster than spin excitations. Such systems therefore have an intermediate temperature range [termed the "spin-incoherent Luttinger…

Disordered Systems and Neural Networks · Physics 2017-01-11 S. A. Parameswaran , Sarang Gopalakrishnan

We theoretically study the transport properties of a hybrid nanodevice comprised of two large metallic islands incorporated in a two-dimensional electron gas. The high-tunability of the conducting channels electrically connecting two…

Mesoscale and Nanoscale Physics · Physics 2024-12-17 A. V. Parafilo

We calculate the conductance of a system of two spinless Luttinger liquid wires with different interaction strengths g_1, g_2, connected through a short junction, within the scattering state formalism. Following earlier work we formulate…

Strongly Correlated Electrons · Physics 2015-06-05 D. N. Aristov , P. Wölfle

The presence of electron-electron interactions in one dimension profoundly changes the properties of a system. The separation of charge and spin degrees of freedom is just one example. We consider what happens when a system consisting of a…

Strongly Correlated Electrons · Physics 2011-07-19 Nicholas Sedlmayr , Sebastian Eggert , Jesko Sirker

We investigate the effects of the electron-electron interactions on the quantum transport through a charge Kondo circuit. The setup consists of a quantum dot sandwiched between two leads by two nearly transparent single mode quantum point…

Mesoscale and Nanoscale Physics · Physics 2023-07-04 T. K. T. Nguyen , A. V. Parafilo , H. Q. Nguyen , M. N. Kiselev

Explicit predictions for Scanning Tunneling Microscopy (STM) on interacting one-dimensional electron systems are made using the Luttinger liquid formalism. The STM current changes with distance from an impurity or boundary in a…

Strongly Correlated Electrons · Physics 2009-10-31 Sebastian Eggert

Ultracold atoms confined to periodic potentials have proven to be a powerful tool for quantum simulation of complex many-body systems. We confine fermions to one-dimension to realize the Tomonaga-Luttinger liquid model describing the highly…

We study the properties of interacting electrons in a one-dimensional conduction band coupled to bulk non-collinear ferromagnetic order. The specific form of non-collinearity we consider is that of an extended domain wall. The presence of…

Strongly Correlated Electrons · Physics 2011-07-18 N. Sedlmayr , S. Eggert , J. Sirker

We study electron and spin transport in interacting quantum wires contacted by noninteracting leads. We theoretically model the wire and junctions as an inhomogeneous chain where the parameters at the junction change on the scale of the…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Denis Morath , Nicholas Sedlmayr , Jesko Sirker , Sebastian Eggert

We present theoretical calculations and experimental measurements which reveal the Luttinger-liquid (LL) nature of elementary excitations in a system consisting of two quantum wires connected by a long narrow tunnel junction at the edge of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yaroslav Tserkovnyak , Bertrand I. Halperin , Ophir M. Auslaender , Amir Yacoby