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Related papers: Transport in a one-dimensional Luttinger liquid

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Electronically gated bilayer graphene behaves as a tunable gap semiconductor under a uniform interlayer bias $V_{g}$. Imposing a spatially varying bias, which changes polarity from $-V_g$ to $+V_g$, leads to one dimensional (1D) chiral…

Strongly Correlated Electrons · Physics 2015-05-18 Matthew Killi , Tzu-Chieh Wei , Ian Affleck , Arun Paramekanti

An interacting one-dimensional (1D) electron system is predicted to behave very differently than its higher-dimensional counterparts. Coulomb interactions strongly modify the properties away from those of a Fermi liquid, resulting in a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Bockrath , D. H. Cobden , J. Lu , A. G. Rinzler , R. E. Smalley , L. Balents , P. L. Mceuen

We investigate theoretically quantum transport through the "charge" Kondo circuit consisting of the quantum dot (QD) coupled weakly to an electrode at temperature $T+\Delta T$ and connected strongly to another electrode at the reference…

Mesoscale and Nanoscale Physics · Physics 2020-03-13 T. K. T. Nguyen , M. N. Kiselev

Harmonically trapped ultra-cold atoms and helium-4 in nanopores provide new experimental realizations of bosons in one dimension, motivating the search for a more complete theoretical understanding of their low energy properties. Worm…

Statistical Mechanics · Physics 2010-08-27 Adrian Del Maestro , Ian Affleck

We study the effect of electron-electron interactions on the transport in an inhomogeneous quantum wire. We show that contrary to the well-known Luttinger liquid result, non-uniform interactions contribute substantially to the resistance of…

Mesoscale and Nanoscale Physics · Physics 2008-02-19 J. Rech , K. A. Matveev

Experimental and theoretical results for transport through crossed metallic single-wall nanotubes are presented. We observe a zero-bias anomaly in one tube which is suppressed by a current flowing through the other nanotube. The phenomenon…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 B. Gao , A. Komnik , R. Egger , D. C. Glattli , A. Bachtold

A one--dimensional gas of electrons interacting with long--range Coulomb forces ($V(r) \approx 1/r$) is investigated. The excitation spectrum consists of separate collective charge and spin modes, with the charge excitation energies in…

Condensed Matter · Physics 2008-11-26 H. J. Schulz

Coherent electron transport through a quantum channel in the presence of a general extended scattering potential is investigated using a T-matrix Lippmann-Schwinger approach. The formalism is applied to a quantum wire with Gaussian type…

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

We study transport through a quantum dot side-coupled to two parallel Luttinger liquid leads in the presence of a Coulombic dot-lead interaction. This geometry enables an exact treatment of the inter-lead Coulomb interactions. We find that…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Florian Elste , David Reichman , Andrew Millis

Luttinger liquid theory accounts for the low energy boson excitations of one-dimensional quantum liquids, but disregards the high energy excitations. The most important high energy excitations are holes which have infinite lifetime at zero…

Strongly Correlated Electrons · Physics 2015-06-04 K. A. Matveev , A. V. Andreev

We use chiral Luttinger liquid theory to study transport through a quantum dot in the fractional quantum Hall effect regime and find rich non-Fermi-liquid tunneling characteristics. In particular, we predict a remarkable…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Michael R. Geller , Daniel Loss

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

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

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 consider electron transport through a quantum point contact between compressible Quantum Hall liquids and derive the contact's impedance function for both diffusive and ballistic regimes of the bulk electron motion. In either regime, the…

Condensed Matter · Physics 2007-05-23 D. V. Khveshchenko

We address the physics of a regular arrangement of independent magnetic impurities embedded in a band of interacting electrons. We focus on the one-dimensional case that can be studied using bosonization and in which the electron bulk is…

Strongly Correlated Electrons · Physics 2025-12-24 Tomás Bortolin , C. J. Bolech , Nayana Shah , Aníbal Iucci

The electron transport in a 1D conductor with an isolated local defect such as an impurity or a non-adiabatic contact is studied theoretically. New regime of conduction in correlated 1D systems is predicted beyond the well-known regime of…

Strongly Correlated Electrons · Physics 2015-10-01 S. N. Artemenko , P. P. Aseev , D. S. Shapiro , R. R. Vakhitov

The single impurity problem in a spinful Tomonaga-Luttinger liquid is studied numerically using path-integral Monte Carlo methods. The advantage of our approach is that the system allows for extensive analyses of charge and spin conductance…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yuji Hamamoto , Ken-Ichiro Imura , Takeo Kato

We report measurements of the temperature and gate voltage dependence for individual bundles (ropes) of single-walled nanotubes. When the conductance is less than about e^2/h at room temperature, it is found to decrease as an approximate…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 David H. Cobden , Jesper Nygard , Marc Bockrath , Paul L. McEuen